## Publications

### Most Cited Publications

My papers have been cited a total of 9140 times (from Google Scholar on 25/01/2024), with 1715 citations just in 2023. The three most cited papers are:- D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders,
“
*Efficient quantum algorithms for simulating sparse Hamiltonians*”, Communications in Mathematical Physics**270**, 359 (2007). 790 citations - B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “
*Entanglement-free Heisenberg-limited phase estimation*”, Nature**450**, 393 (2007). 671 citations - D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “Simulating Hamiltonian dynamics with a truncated Taylor series”, Physical Review Letters
**114**, 090502 (2015). 647 citations

### Journal Papers

- D. W. Berry, Y. Su, C. Gyurik, R. King, J. Basso, A. Del Toro Barba, A. Rajput, N. Wiebe, V. Dunjko, and R. Babbush, “Quantifying Quantum Advantage in Topological Data Analysis”, PRX Quantum
**5**, 010319 (2022). [export citation]

- R. Babbush, D. W. Berry, R. Kothari, R. D. Somma, and N. Wiebe, “Exponential quantum speedup in simulating coupled classical oscillators”, Physical Review X
**13**, 041041 (2023). [export citation]

- N. C. Rubin, D. W. Berry, F. D. Malone, A. F. White, T. Khattar, A. E. DePrince III, S. Sicolo, M. Kühn, M. Kaicher, J. Lee, and R. Babbush, “Fault-tolerant quantum simulation of materials using Bloch orbitals”, PRX Quantum
**4**, 040303 (2023). [export citation]

- R. Babbush, W. J. Huggins, D. W. Berry, S. F. Ung, A. Zhao, D. R. Reichman, H. Neven, A. D. Baczewski, and J. Lee, “Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods”, Nature Communications
**14**, 4058 (2023). [export citation]

- P. Najafi, P. C. S. Costa, and D. W. Berry, “Optimum phase estimation with two control qubits”, AVS Quantum Science
**5**, 023802 (2023). [export citation]

- L. O. Conlon, T. Vogl, C. D. Marciniak, I. Pogorelov, S. K. Yung, F. Eilenberger, D. W. Berry, F. S. Santana, R. Blatt, T. Monz, P. K. Lam, S. M. Assad, “Approaching optimal entangling collective measurements on quantum computing platforms”, Nature Physics
**19**, 351 (2023). [export citation]

- T. E. O'Brien, M. Streif, N. C. Rubin, R. Santagati, Y. Su, W. J. Huggins, J. J. Goings, N. Moll, E. Kyoseva, M. Degroote, C. S. Tautermann, J. Lee, D. W. Berry, N. Wiebe, and R. Babbush, “Efficient quantum computation of molecular forces and other energy gradients”, Physical Review Research
**4**, 043210 (2022). [export citation]

- P. C. S. Costa, D. An, Y. R. Sanders, Y. Su, R. Babbush, and D. W. Berry, “Optimal scaling quantum linear systems solver via discrete adiabatic theorem”, PRX Quantum
**3**, 040303 (2022). [export citation]

- M. Bagherimehrab, Y. R. Sanders, D. W. Berry, G. K. Brennen, and B. C. Sanders, “Nearly optimal quantum algorithm for generating the ground state of a free quantum field theory”, PRX Quantum
**3**, 020364 (2022). [export citation]

- Y. Su, D. W. Berry, N. Wiebe, N. Rubin, and R. Babbush, “Fault-tolerant quantum simulations of chemistry in first quantization”, PRX Quantum
**2**, 040332 (2021). [export citation]

- J. Lee, D. W. Berry, C. Gidney, W. J. Huggins, J. R. McClean, N. Wiebe, and R. Babbush, “Even more efficient quantum computations of chemistry through tensor hypercontraction”, PRX Quantum
**2**, 030305 (2021). [export citation]

- Z. Huang, P. P. Rohde, D. W. Berry, P. Kok, J. P. Dowling, and C. Lupo, “Photonic quantum data locking”, Quantum
**5**, 447 (2021). [export citation]

- Y. R. Sanders, D. W. Berry, P. C. S. Costa, L. W. Tessler, N. Wiebe, C. Gidney, H. Neven, and R. Babbush, “Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization”, PRX Quantum
**1**, 020312 (2020). [export citation]

- T. J. Baker, S. N. Saadatmand, D. W. Berry, and H. M. Wiseman, “The Heisenberg limit for laser coherence”, Nature Physics
**17**, 179 (2020). [export citation]

- I. D. Kivlichan, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, W. Sun, Z. Jiang, N. Rubin, A. Fowler, A. Aspuru-Guzik, H. Neven, and R. Babbush, “Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization”, Quantum
**4**, 296 (2020). [export citation]

- D. W. Berry, A. M. Childs, Y. Su, X. Wang, and N. Wiebe, “Time-dependent Hamiltonian simulation with
*L*^{1}-norm scaling”, Quantum**4**, 254 (2020). [export citation]

- W. Gorecki, D. W. Berry, H. M. Wiseman, and R. Demkowicz-Dobrzanski, “$\pi $-corrected Heisenberg limit”, Physical Review Letters
**124**, 030501 (2020). [export citation]

- D. W. Berry, C. Gidney, M. Motta, J. R. McClean, and R. Babbush, “Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization”, Quantum
**3**, 208 (2019). [export citation]

- R. Babbush, D. W. Berry, J. R. McClean, and H. Neven, “Quantum simulation of chemistry with sublinear scaling in basis size”, npj Quantum Information
**5**, 92 (2019). [export citation]

- M. Kieferová, A. Scherer, and D. W. Berry, “Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series”, Physical Review A
**99**, 042314 (2019). [export citation]

- R. Babbush, D. W. Berry, and H. Neven, “Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization”, Physical Review A
**99**, 040301(R) (2019). [export citation]

- H. T. Dinani, D. W. Berry, R. Gonzalez, J. R. Maze, and C. Bonato, “Bayesian estimation for quantum sensing in the absence of single-shot detection ”, Physical Review B
**99**, 125413 (2019). [export citation]

- Y. R. Sanders, G. H. Low, A. Scherer, and D. W. Berry, “Black-box quantum state preparation without arithmetic”, Physical Review Letters
**122**, 020502 (2019). [export citation]

- S. Daryanoosh, S. Slussarenko, D. W. Berry, H. M. Wiseman, and G. J. Pryde, “Experimental optical phase measurement at the exact Heisenberg limit”, Nature Communications
**9**, 4606 (2018). [export citation] - R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, “Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity”, Physical Review X
**8**, 041015 (2018). [export citation] - D. W. Berry, M. Kieferová, A. Scherer, Y. R. Sanders, G. H. Low, N. Wiebe, C. Gidney, and R. Babbush, “Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians”, npj Quantum Information
**4**, 22 (2018). [export citation] - K. T. Laverick, H. M. Wiseman, H. T. Dinani, and D. W. Berry, “Adaptive estimation of a time-varying phase with coherent states: smoothing can give an unbounded improvement over filtering”, Physical Review A
**97**, 042334 (2018). [export citation] - R. Babbush, D. W. Berry, Y. R. Sanders, I. D. Kivlichan, A. Scherer, A. Y. Wei, P. J. Love, and A. Aspuru-Guzik, “Exponentially More Precise Quantum Simulation of Fermions in the Configuration Interaction Representation”, Quantum Science and Technology
**3**, 015006 (2018). [export citation] - D. W. Berry, A. M. Childs, A. Ostrander, and G. Wang, “Quantum Algorithm for Linear Differential Equations with Exponentially Improved Dependence on Precision”, Communications in Mathematical Physics
**356**, 1057 (2017). [export citation] - H. T. Dinani and D. W. Berry, “Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states”, Physical Review A
**95**, 063821 (2017). [export citation] - L. Novo and D. W. Berry, “Improved Hamiltonian simulation via a truncated Taylor series and corrections”, Quantum Information and Computation
**17**, 0623 (2017). [export citation] - C. Bonato and D. W. Berry, “Adaptive tracking of a time-varying field with a quantum sensor”, Physical Review A
**95**, 052348 (2017). [export citation] - Z. Huang, K. R. Motes, P. M. Anisimov, J. P. Dowling, and D. W. Berry, “Adaptive phase estimation with two-mode squeezed-vacuum and parity measurement”, Physical Review A
**95**, 053837 (2017). [export citation] - S. Roy, D. W. Berry, I. R. Petersen, and E. H. Huntington, “Robust Guaranteed-Cost Adaptive Quantum Phase Estimation”, Physical Review A
**95**, 052322 (2017). [export citation] - D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “Exponential improvement in precision for simulating sparse Hamiltonians”, Forum of Mathematics, Sigma
**5**(2017). [export citation] - D. W. Berry and L Novo, “Corrected quantum walk for optimal Hamiltonian simulation”, Quantum Information and Computation
**16**, 1295 (2016). [export citation] - K. R. Motes, R. L. Mann, J. P. Olson, N. M. Studer, E. A. Bergeron, A. Gilchrist, J. P. Dowling, D. W. Berry, and P. P. Rohde, “Efficient recycling strategies for preparing large Fock states from single-photon sources: Applications to quantum metrology”, Physical Review A
**94**, 012344 (2016). [export citation] - H. T. Dinani, M. K. Gupta, J. P. Dowling, and D. W. Berry, “Quantum enhanced spectroscopy with entangled multi-photon states”, Physical Review A
**93**, 063804 (2016). [export citation] - R. Babbush, D. W. Berry, I. D. Kivlichan, A. Y. Wei, P. J. Love, and A. Aspuru-Guzik, “Exponentially more precise quantum simulation of fermions in second quantization”, New Journal of Physics
**18**, 033032 (2016). [export citation] - C. Bonato, M. S. Blok, H. T. Dinani, D. W. Berry, M. L. Markham, D. J. Twitchen, and R. Hanson, “Optimized quantum sensing with a single electron spin using real-time adaptive measurements”, Nature Nanotechnology
**11**, 247 (2016). [export citation] - D. W. Berry, M. Tsang, M. J. W. Hall, and H. M. Wiseman, “Quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation”, Physical Review X
**5**, 031018 (2015). [export citation] - D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “Simulating Hamiltonian dynamics with a truncated Taylor series”, Physical Review Letters
**114**, 090502 (2015). [export citation] - D. Hogg, D. W. Berry, and A. I. Lvovsky, “Efficiencies of Quantum Optical Detectors”, Physical Review A
**90**, 053846 (2014). [export citation] - M. Ringbauer, A. Fedrizzi, D. W. Berry, and A. G. White, “Information Causality in the Quantum and Post-Quantum Regime”, Scientific Reports
**4**, 6955 (2014). [export citation] - H. T. Dinani and D. W. Berry, “Loss-resistant unambiguous phase measurement”, Physical Review A
**90**, 023856 (2014). [export citation] - D. W. Berry, “High-order quantum algorithm for solving linear differential equations”, Journal of Physics A: Mathematical and Theoretical
**47**, 105301 (2014). [export citation] - A. J. F. Hayes and D. W. Berry, “Swarm optimization for adaptive phase measurements with low visibility”, Physical Review A
**89**, 013838 (2014). [export citation] - D. W. Berry, R. Cleve, and S. Gharibian, “Gate-efficient discrete simulations of continuous-time quantum query algorithms”, Quantum Information and Computation
**14**, 0001 (2014). [export citation] - D.-S. Wang, D. W. Berry, M. C. de Oliveira, and B. C. Sanders, “Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels”, Physical Review Letters
**111**, 130504 (2013). [export citation] - D. W. Berry, M. J. W. Hall, and H. M. Wiseman, “Stochastic Heisenberg Limit: Optimal Estimation of a Fluctuating Phase”, Physical Review Letters
**111**, 113601 (2013). [export citation] - D. W. Berry, M. J. W. Hall, M. Zwierz, and H. M. Wiseman, “Optimal Heisenberg-style bounds for the average performance of arbitrary phase estimates”, Physical Review A
**86**, 053813 (2012). [export citation] - H. Yonezawa, D. Nakane, T. A. Wheatley, K. Iwasawa, S. Takeda, H. Arao, K. Ohki, K. Tsumura, D. W. Berry, T. C. Ralph, H. M. Wiseman, E. H. Huntington, and A. Furusawa, “Quantum-enhanced optical-phase tracking”, Science
**337**, 1514 (2012). [export citation] - M. J. W. Hall, D. W. Berry, M. Zwierz, and H. M. Wiseman, “Universality of the Heisenberg limit for estimates of random phase shifts”, Physical Review A
**85**, 041802(R) (2012). [export citation] - D. W. Berry and A. M. Childs, “
*Black-box Hamiltonian simulation and unitary implementation*”, Quantum Information and Computation**12**, 29 (2012). [export citation] - N. Wiebe, D. W. Berry, P. Høyer, B. C. Sanders, “Simulating quantum dynamics on a quantum computer”, Journal of Physics A: Mathematical and Theoretical
**44**, 445308 (2011). [export citation] - D. W. Berry and A. I. Lvovsky, “Preservation of loss in linear-optical processing”, Physical Review A
**84**, 042304 (2011). [export citation] - R. S. Said, D. W. Berry, and J. Twamley, “
*Nanoscale magnetometry using a single-spin system in diamond*”, Physical Review B**83**, 125410 (2011). [export citation] - G. Y. Xiang, B. L. Higgins, D. W. Berry, H. M. Wiseman, and G. J. Pryde, “
*Entanglement-enhanced measurement of a completely unknown phase*”, Nature Photonics**5**, 43 (2011). [export citation] - D. W. Berry and A. I. Lvovsky, “
*Linear-Optical Processing Cannot Increase Photon Efficiency*”, Physical Review Letters**105**, 203601 (2010). [export citation] - D. W. Berry, M. Aguado, A. Gilchrist, and G. K. Brennen, “Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator”, New Journal of Physics
**12**, 053011 (2010). [export citation] - T. A. Wheatley, D. W. Berry, H. Yonezawa, D. Nakane, H. Arao, D. T. Pope, T. C. Ralph, H. M. Wiseman, A. Furusawa, and E. H. Huntington, “
*Adaptive optical phase estimation using time-symmetric quantum smoothing*”, Physical Review Letters**104**, 093601 (2010). [export citation] - N. Wiebe, D. W. Berry, P. Høyer, and B. C. Sanders, “
*Higher order decompositions of ordered operator exponentials*”, Journal of Physics A: Mathematical and Theoretical**43**, 065203 (2010). [export citation] - D. W. Berry, H. Jeong, M. Stobińska, and T. C. Ralph, “
*Fair-sampling assumption is not necessary for testing local realism*”, Physical Review A**81**, 012109 (2010). [export citation] - H. M. Wiseman, D. W. Berry, S. D. Bartlett, B. L. Higgins, and G. J. Pryde, “
*Adaptive measurements in the optical quantum information laboratory*”, IEEE Journal of Selected Topics in Quantum Electronics**15**, 1661 (2009). [export citation] - D. W. Berry, B. L. Higgins, S. D. Bartlett, M. W. Mitchell, G. J. Pryde, and H. M. Wiseman, “
*How to perform the most accurate possible phase measurements*”, Physical Review A**80**, 052114 (2009). [export citation] - B. L. Higgins, D. W. Berry, S. D. Bartlett, M. W. Mitchell, H. M. Wiseman, and G. J. Pryde, “
*Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements*”, New Journal of Physics**11**, 073023 (2009). [export citation] - D. W. Berry, “
*Lower bounds for communication capacities of two-qudit unitary operations*”, Physical Review A**76**, 062302 (2007). [export citation] - B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “
*Entanglement-free Heisenberg-limited phase estimation*”, Nature**450**, 393 (2007). [export citation] - D. W. Berry, “
*Implementation of multipartite unitary operations with limited resources*”, Physical Review A**75**, 032349 (2007). [export citation] - D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders, “
*Efficient quantum algorithms for simulating sparse Hamiltonians*”, Communications in Mathematical Physics**270**, 359 (2007). [export citation] - D. W. Berry, A. I. Lvovsky, and B. C. Sanders, “
*Efficiency limits for linear optical processing of single photons and single-rail qubits*”, Journal of the Optical Society of America B**24**, 189 (2007). [export citation] - D. W. Berry and M. R. Dowling, “
*Two qubits can be entangled in two distinct temperature regions*”, Physical Review A**74**, 062301 (2006). [export citation] - D. W. Berry and H. M. Wiseman, “
*Adaptive phase measurements for narrowband squeezed beams*”, Physical Review A**73**, 063824 (2006). [export citation] - D. W. Berry, A. I. Lvovsky, and B. C. Sanders, “
*Interconvertibility of single-rail optical qubits*”, Optics Letters**31**, 107 (2006). [export citation] - D. T. Pope, D. W. Berry, and N. K. Langford, “
*The practicality of adaptive phase estimation*”, Optics and Spectroscopy**99**, 397 (2005). [export citation] - D. W. Berry, “
*Qubit channels that achieve capacity with two states*”, Physical Review A**71**, 032334 (2005). [export citation] - D. W. Berry and B. C. Sanders, “
*Equivalence between two-mode spin squeezed states and pure entangled states with equal spin*”, Journal of Physics A: Mathematical and General**38**, L205 (2005). [export citation] - D. W. Berry and B. C. Sanders, “
*Numerical analysis of the capacities for two-qubit unitary operations*”, Physical Review A**71**, 022304 (2005). [export citation] - D. W. Berry, “
*Resources required for exact remote state preparation*”, Physical Review A**70**, 062306 (2004). [export citation] - D. W. Berry, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight, and R. Laflamme, “
*Post-processing with linear optics for improving the quality of single-photon sources*”, New Journal of Physics**6**, 93 (2004). [export citation] - D. W. Berry, S. Scheel, B. C. Sanders, and P. L. Knight, “
*Improving single photon sources via linear optics and photodetection*”, Physical Review A**69**, 031806(R) (2004). [export citation] - D. W. Berry and B. C. Sanders, “
*Bounds on general entropy measures*”, Journal of Physics A: Mathematical and General**36**, 12255 (2003). [export citation] - D. W. Berry and B. C. Sanders, “
*Relation between classical communication capacity and entanglement capability for two-qubit unitary operations*”, Physical Review A**68**, 032312 (2003). [export citation] - X. Wang, B. C. Sanders, and D. W. Berry, “
*Entangling power and operator entanglement in qudit systems*”, Physical Review A**67**, 042323 (2003). [export citation] - D. W. Berry and B. C. Sanders, “
*Relations for classical communication capacity and entanglement capability of two-qubit operations*”, Physical Review A**67**, 040302(R) (2003). [export citation] - D. W. Berry and B. C. Sanders, “
*Optimal remote state preparation*”, Physical Review Letters**90**, 057901 (2003). [export citation] - D. W. Berry and B. C. Sanders, “
*Near-optimal two-mode spin squeezing via feedback*”, Physical Review A**66**, 012313 (2002). [export citation] - D. W. Berry and B. C. Sanders, “
*Quantum teleportation and entanglement swapping for spin systems*”, New Journal of Physics**4**, 8 (2002). [export citation] - D. W. Berry and H. M. Wiseman, “
*Adaptive quantum measurements of a continuously varying phase*”, Physical Review A**65**, 043803 (2002). [export citation] - D. W. Berry, H. M. Wiseman and J. K. Breslin, “
*Optimal input states and feedback for interferometric phase estimation*”, Physical Review A**63**, 053804 (2001). [export citation] - D. W. Berry and H. M. Wiseman, “
*The effects of time delays in adaptive phase measurements*”, Journal of Modern Optics**48**, 797 (2001). [export citation] - D. W. Berry and H. M. Wiseman, “
*Optimal States and Almost Optimal Adaptive Measurements for Quantum Interferometry*”, Physical Review Letters**85**, 5098 (2000). [export citation] - D. W. Berry and H. M. Wiseman, “
*Phase measurements at the theoretical limit*”, Physical Review A**63**, 013813 (2000). [export citation] - D. W. Berry, N. R. Heckenberg, and H. Rubinsztein-Dunlop, “
*Effects associated with bubble formation in optical trapping*”, Journal of Modern Optics**47**, 1575 (2000). [export citation] - D. W. Berry, H. M. Wiseman, and Z. X. Zhang, “
*Heterodyne and adaptive phase measurements on states of fixed mean photon number*”, Physical Review A**60**, 2458 (1999). [export citation]

#### Refereed Conference Papers

- D. W. Berry, A. M. Childs, and
**R. Kothari**, “Hamiltonian simulation with nearly optimal dependence on all parameters”, In Proceedings of the 56th IEEE Symposium on Foundations of Computer Science (FOCS 2015), pages 792-809 (2015). [export citation] -
**D. W. Berry**, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “Exponential improvement in precision for simulating sparse Hamiltonians”, In Proceedings of the 46th Annual ACM Symposium on Theory of Computing, pages 283-292 (2014). [export citation] -
**D. W. Berry**, “Qubit channels that achieve capacity with two states”, presented at Quantum Communications and Quantum Imaging III, SPIE International Symposium on Optics and Photonics (San Diego, CA, July 31 - August 4, 2005), Proc. SPIE, Vol. 5893, p. 589318. **D. W. Berry**, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight and R. Laflamme, “Improving single-photon sources via linear optics and photodetection”, presented at Fluctuations and Noise in Photonics and Quantum Optics II (Gran Canaria, Spain, 25-28 May 2004), Proc. SPIE, Vol. 5468, p. 232-243.

#### Book Chapters

- D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders,
“
*Quantum Algorithms for Hamiltonian Simulation*”, invited chapter in Mathematics of Quantum Computation and Quantum Technology, (Chapman & Hall/CRC, 2007). [export citation]

#### Unpublished Preprints

- D. W. Berry, D. Motlagh, G. Pantaleoni, and N. Wiebe, “Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing”, arXiv: 2401.10321 (2024).

- P. C. S. Costa, P. Schleich, M. E. S. Morales, and D. W. Berry, “Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling”, arXiv: 2312.09518 (2023).

- P. C. S. Costa, D. An, R. Babbush, and D. W. Berry, “The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver”, arXiv: 2312.07690 (2023).

- D. W. Berry, N. C. Rubin, A. O. Elnabawy, G. Ahlers, A. E. DePrince III, J. Lee, C. Gogolin, and R. Babbush, “Quantum Simulation of Realistic Materials in First Quantization Using Non-local Pseudopotentials”, arXiv: 2312.07654 (2023).

- N. C. Rubin, D. W. Berry, A. Kononov, F. D. Malone, T. Khattar, A. White, J. Lee, H. Neven, R. Babbush, and A. D. Baczewski, “Quantum computation of stopping power for inertial fusion target design”, arXiv: 2308.12352 (2023).

- D. W. Berry and P. Costa, “Quantum algorithm for time-dependent differential equations using Dyson series”, arXiv: 2212.03544 (2022).

- M. E. S. Morales, P. Costa, D. K. Burgarth, Y. R. Sanders, and D. W. Berry, “Greatly improved higher-order product formulae for quantum simulation”, arXiv: 2210.15817 (2022).

- C. H. Cho, D. W. Berry, and M. H. Hsieh, “Doubling the order of approximation via the randomized product formula”, arXiv: 2210.11281 (2022).

#### Errata

- D. W. Berry and H. M. Wiseman, “Erratum: Adaptive phase measurements for narrowband squeezed beams [Phys. Rev. A 73, 063824 (2006)]”, Physical Review A
**87**, 019901(E) (2013). [export citation]

#### News & Views

- D. W. Berry, “
*Viewpoint: A Random Approach to Quantum Simulation*”, Physics**12**, 91 (2019). - D. W. Berry and H. M. Wiseman, “
*Quantum photonics: Quantum optics on a chip*”, Nature Photonics**3**, 317 (2009). [export citation]

### Conferences (presenting author in bold)

**D. W. Berry**, Y. Su, C. Gyurik, R. King, J. Basso, A. Del Toro Barba, A. Rajput, N. Wiebe, V. Dunjko, and R. Babbush, “*Reducing overhead for quantum advantage in topological data analysis*”, talk at the 24th Australian Institute of Physics Conference (Adelaide, December 11-16, 2022).**D. W. Berry**and P. Costa, “*Quantum algorithm for time-dependent differential equations using Dyson series*”, talk at the 24th Australian Institute of Physics Conference (Adelaide, December 11-16, 2022).**P. C. S. Costa**, D. An, Y. R. Sanders, Y. Su, R. Babbush, and D. W. Berry, “*Optimal scaling quantum linear systems solver via discrete adiabatic theorem*”, talk at the 24th Australian Institute of Physics Conference (Adelaide, December 11-16, 2022).**P. C. S. Costa**, D. An, Y. R. Sanders, Y. Su, R. Babbush, and D. W. Berry, “*Optimal scaling quantum linear systems solver via discrete adiabatic theorem*”, oral presentation at QIP 2022 - The 25th Conference on Quantum Information Processing (Pasadena, March 7-11, 2022).- Y. Su,
**D. W. Berry**, N. Wiebe, N. Rubin, and R. Babbush, “*Fault-tolerant quantum simulations of chemistry in first quantization*”,**invited**oral presentation at 21st Asian Quantum Information Science Conference (Tokyo, September 1-4, 2021). - J. Lee,
**D. W. Berry**, C. Gidney, W. Huggins, J. R. McClean, N. Wiebe, and R. Babbush, “*Even more efficient quantum computations of chemistry through tensor hypercontraction*”, oral presentation at 16th Conference on the Theory of Quantum Computation, Communication and Cryptography (Latvia, July 5-8, 2021). - J. Lee,
**D. W. Berry**, C. Gidney, W. Huggins, J. R. McClean, N. Wiebe, and R. Babbush, “*Even more efficient quantum computations of chemistry through tensor hypercontraction*”, invited oral presentation at 2021 CECAM-Lorentz workshop: Useful Quantum Computation For Quantum Chemistry (Virtual, February 22-26, 2021). - J. Lee,
**D. W. Berry**, C. Gidney, W. Huggins, J. R. McClean, N. Wiebe, and R. Babbush, “*Efficient quantum computations of chemistry through tensor hypercontraction*”, plenary oral presentation at QIP 2021 - The 24th Conference on Quantum Information Processing (Munich, February 1-5, 2021). **Y. R. Sanders**, D. W. Berry, P. Costa, L. W. Tessler, N. Wiebe, C. Gidney, H. Neven, and R. Babbush, “*Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization*”, oral presentation at QIP 2021 - The 24th Conference on Quantum Information Processing (Munich, February 1-5, 2021).- J. Lee,
**D. W. Berry**, C. Gidney, W. Huggins, J. R. McClean, N. Wiebe, and R. Babbush, “*Even more efficient quantum computations of chemistry through tensor hypercontraction*”, oral presentation at 20th Asian Quantum Information Science Conference (Sydney, December 7-9, 2020). **Y. R. Sanders**, D. W. Berry, P. Costa, L. W. Tessler, N. Wiebe, C. Gidney, H. Neven, and R. Babbush, “*Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization*”, oral presentation at 20th Asian Quantum Information Science Conference (Sydney, December 7-9, 2020).**D. W. Berry**, C. Gidney, M. Motta, J. R. McClean, and R. Babbush, “*Qubitization of arbitrary basis quantum chemistry leveraging sparsity and low rank factorization*”, oral presentation at QIP 2020 - The 23rd Conference on Quantum Information Processing (Shenzhen, January 6-10, 2020).**Y. Sanders**, G. H. Low, A. Scherer and D. W. Berry, “*Black-box quantum state preparation without arithmetic*”, long talk at the 19th Asian Quantum Information Science Conference (Seoul, August 19-23, 2019).- N. Saadatmand, Travis Baker, D. W. Berry, and
**H. Wiseman**, “*The Heisenberg limit for laser coherence*”, long talk at the 19th Asian Quantum Information Science Conference (Seoul, August 19-23, 2019). **D. W. Berry**, M. Kieferova, A. Scherer, Y. Sanders, G. H. Low, N. Wiebe, R. Babbush, C. Gidney, J. McClean, A. Fowler, H. Neven, A. Childs, and R. Kothari, “*Quantum chemistry simulation: How low can you go?*”, invited talk at the Coogee'19 Sydney Quantum Information Theory Workshop (Sydney, February 5-8, 2019).**R. Babbush**, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, “*Simulating correlated electrons in the surfacecode with a single T-factory*”, oral presentation at QIP 2019 - The 22nd Conference on Quantum Information Processing (Boulder, January 14-18, 2019).**D. W. Berry**, M. Kieferova, A. Scherer, Y. Sanders, G. H. Low, N. Wiebe, J. McClean, H. Neven, C. Gidney, and R. Babbush, “*Quantum simulation of chemistry with sublinear scaling in basis size*”, and**G. H. Low**and N. Wiebe, “*Hamiltonian simulation in the interaction picture*”, oral presentation at QIP 2019 - The 22nd Conference on Quantum Information Processing (Boulder, January 14-18, 2019).**D. W. Berry**, R. Babbush, C. Gidney, J. McClean, A. Fowler, H. Neven, N. Wiebe, and A. Paler, “*Quantum chemistry simulation: How low can you go?*”, invited keynote talk at the 8th Workshop on Quantum Simulation and Quantum Walks (Perth, December 14-16, 2018).**D. W. Berry**, R. Babbush, C. Gidney, J. McClean, A. Fowler, H. Neven, N. Wiebe, and A. Paler, “*Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity*”, talk at the 23rd Australian Institute of Physics Conference (Perth, December 9-13, 2018).**D. W. Berry**, R. Babbush, C. Gidney, J. McClean, A. Fowler, H. Neven, N. Wiebe, and A. Paler, “*Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity*”, plenary talk at the 18th Asian Quantum Information Science Conference (Nagoya, September 8-12, 2018).- K. Laverick, H. M. Wiseman, H. Dinani, and
**D. W. Berry**, “*Adaptive Estimation of a Time-Varying Phase with Coherent States*”, invited presentation at AIP Summer meeting 2017 (Sydney, December 3-7, 2017). **D. W. Berry**, A. M. Childs, A. Ostrander, and G. Wang, “*Quantum algorithm for linear differential equations with exponentially improved dependence on precision*”, invited presentation at Quantum Summit 2017 (Chengdu, October 11-17, 2017).**D. W. Berry**, A. M. Childs, A. Ostrander, and G. Wang, “*Quantum algorithm for linear differential equations with exponentially improved dependence on precision*”, oral presentation at the 17th Asian Quantum Information Science Conference (Singapore, September 4-8, 2017).- H. T. Dinani,
**D. W. Berry**, and H. M. Wiseman, “*Adaptive estimation of time-varying phase with power-law spectrum*”, oral presentation at APPC-AIP Congress (Brisbane, December 4-8, 2016). **D. W. Berry**and L. Novo, “*Corrected quantum walk for optimal Hamiltonian simulation*”, oral presentation at APPC-AIP Congress (Brisbane, December 4-8, 2016).**D. W. Berry**, H. T. Dinani, K. R. Motes, Z. Huang, H. M. Wiseman, P. M. Anisimov, and J. P. Dowling, “*Advances in Adaptive Phase Measurement for Nonclassical States*”, invited presentation at The 4th biennial China-Australia Quantum Control Workshop (Hefei, September 25-28, 2016).**D. W. Berry**, M. Tsang, M. J. W. Hall, and H. M. Wiseman, “*Quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation*”, invited presentation at Recent Advances in Quantum Metrology (Warsaw, March 2-4, 2016).**D. W. Berry**, A. Aspuru-Guzik, A. M. Childs, R. Kothari, R. Cleve, and R. D. Somma, “*Advances in quantum algorithms for Hamiltonian simulation*”, invited Plenary presentation at International Conference on Quantum Information Processing and Communication (QIPC) (Leeds, September 13-18, 2015).**D. W. Berry**, A. Aspuru-Guzik, A. M. Childs, R. Kothari, R. Cleve, and R. D. Somma, “*Advances in quantum algorithms for Hamiltonian simulation*”, invited oral presentation at Last Frontiers in Quantum Information Science 3 (Homer Alaska, June 22-26, 2015).**D. W. Berry**, A. Aspuru-Guzik, A. M. Childs, R. Kothari, R. Cleve, and R. D. Somma, “*Advances in quantum algorithms for Hamiltonian simulation*”, invited presentation at Heilbronn Quantum Algorithms meeting (Bristol, April 13-14, 2015).**D. W. Berry**, A. M. Childs, and R. Kothari, “*Hamiltonian simulation with nearly optimal dependence on all parameters*”, oral presentation at QIP2015 - 18th Workshop on Quantum Information Processing (Sydney, January 12-16, 2015).**D. W. Berry**, M. Tsang, M. J. W. Hall, and H. M. Wiseman, “*The Heisenberg limit for a varying phase*”, oral presentation at the Australian Institute of Physics Congress (Canberra, December 7-11, 2014).**D. W. Berry**, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “*Hamiltonian simulation with nearly optimal dependence on all parameters*”, invited Keynote address at Quantum Simulations and Quantum Walks 2014 (Durban, November 24-28, 2014).**D. W. Berry**, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “*Exponential improvement in precision for simulating sparse Hamiltonians*”, invited oral presentation at the Australia-Japan Workshop on Multi-user Quantum Networks (Sydney, October 22-24, 2014).**D. W. Berry**, M. Tsang, M. J. W. Hall, H. M. Wiseman, “*The Heisenberg limit for waveform estimation*”, invited oral presentation at the 3rd Biennial China-Australia Quantum Control Workshop (Brisbane, September 29 - October 3, 2014).**D. W. Berry**, M. Ringbauer, A. Fedrizzi, and A. G. White, “*Quantum correlations beyond Tsirelson's bound*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Jose, June 8-13, 2014).**D. W. Berry**, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “*Exponential improvement in precision for simulating sparse Hamiltonians*”, invited oral presentation at the Aspen Winter Conference on Advances in Quantum Algorithms and Computation (Aspen, March 9-14, 2014).**D. W. Berry**, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, “*Exponential improvement in precision for simulating sparse Hamiltonians*”, invited oral presentation at the American Physical Society March Meeting (Denver, March 3-7, 2014).**D. W. Berry**, R. Cleve, and R. D. Somma, “*Hamiltonian simulation with complexity polylogarithmic in the error*”, oral presentation at the 13th Asian Quantum Information Science Conference (Chennai, August 25-30, 2013).**D. W. Berry**, M. J. W. Hall, and H. M. Wiseman, “*Ultimate limits to quantum-enhanced optical phase tracking*”, oral presentation at CLEO:Conference on Lasers and Electro-Optics (San Jose, June 9-14, 2013).**D. W. Berry**, R. Cleve, and S. Gharibian, “*Gate-Efficient Discrete Simulations of Continuous-Time Query Algorithms*”, poster presentation at QIP2013 - 16th Workshop on Quantum Information Processing (Beijing, January 21-25, 2013).**D. W. Berry**, M. J. W. Hall, M. Zwierz, and H. M. Wiseman, “*Universality of the Heisenberg limit*”, oral presentation at the 20th Australian Institute of Physics Congress (Sydney, December 9-13, 2012).**D. W. Berry**, M. J. W. Hall, M. Zwierz, and H. M. Wiseman, “*Universality of the Heisenberg Limit for Estimates of Random Phase Shifts*”, invited oral presentation at China-Australia Quantum Control Workshop (Beijing, November 5-8, 2012).**D. W. Berry**, R. Cleve, and S. Gharibian, “*Gate-Efficient Discrete Simulations of Continuous-Time Query Algorithms*”, oral presentation at the 12th Asian Quantum Information Science Conference (Suzhou, August 23-26, 2012).- M. J. W. Hall,
**D. W. Berry**, M. Zwierz, and H. M. Wiseman, “*Universality of the Heisenberg Limit for Estimates of Random Phase Shifts*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Jose, May 6-11, 2012). **D. W. Berry**, “*Quantum Algorithm for Solving Linear Differential Equations*”, oral presentation at the 11th Asian Quantum Information Science Conference (Busan, August 23-30, 2011).**D. W. Berry**and A. I. Lvovsky, “*Conservation of Vacuum in an Interferometer*”, oral presentation at the Quantum Electronics and Laser Science Conference (Baltimore, May 1-6, 2011).**D. W. Berry**and A. I. Lvovsky, “*Conservation of Vacuum in an Interferometer*”, oral presentation at the APS March meeting (Dallas, March 21-25, 2011).**D. W. Berry**, G. Y. Xiang, B. L. Higgins, H. M. Wiseman, and G. J. Pryde, “*Entanglement-enhanced measurement of a completely unknown phase*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Jose, May 16-21, 2010).-
**D. W. Berry**, G. Y. Xiang, B. L. Higgins, D. W. Berry, H. M. Wiseman, and G. J. Pryde, “*Entanglement-enhanced measurement of a completely unknown phase*”, invited oral presentation at ONR Entanglement Beyond the Optical Regime (Anaheim, February 8-11, 2010). -
**D. W. Berry**and A. M. Childs, “*The query complexity of Hamiltonian simulation and unitary implementation*”, oral presentation at QIP2010 - 13th Workshop on Quantum Information Processing (Zurich, January 15-22, 2010). -
**D. W. Berry**and A. M. Childs, “*The complexity of implementing N × N black-box unitaries is O(N*”, oral presentation at the 9th Asian Conference on Quantum Information Science (Nanjing, August 26-29, 2009).^{3/4}) - N. Wiebe, D. W. Berry, P. Høyer and
**B. C. Sanders**, “*Higher order decompositions of ordered operator exponentials*”, invited oral presentation at the International Workshop on Quantum Nonstationary Systems (Brasilia, October 19-23, 2009). -
**D. W. Berry**, B. L. Higgins, H. M. Wiseman, S. D. Bartlett, M. W. Mitchell, and G. J. Pryde, “*Phase measurements at the theoretical limit*”, invited oral presentation at the DEX-SMI workshop on quantum statistical inference (Tokyo, March 2-4, 2009). - D. W. Berry, B. L. Higgins,
**H. M. Wiseman**, S. D. Bartlett, M. W. Mitchell, and G. J. Pryde, “*Theory for Heisenberg Limited Phase Measurement*”, oral presentation at the 18th National Congress of the Australian Institute of Physics (Adelaide, November 30 - December 5, 2008). - N. Wiebe, D. W. Berry,
**P. Høyer**, and B. C. Sanders, “*Computing time ordered operator exponentials efficiently and accurately*”, invited oral presentation at the Workshop on quantum algorithms and complexity theory (Singapore, November 17-21, 2008). -
**N. Wiebe**, D. W. Berry, P. Høyer, and B. C. Sanders, “*Quantum computer simulation of time dependent Hamiltonians*”, poster presentation at Quantum Communication, Measurement and Computing (Calgary, August 19-24, 2008). -
**D. W. Berry**, H. Jeong, M. Stobinska, and T. C. Ralph, “*The CHSH-Bell inequality and Tsirelson's bound with postselection*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Diego, May 4-9, 2008). - B. L. Higgins, H. M. Wiseman,
**G. J. Pryde**, D. W. Berry, S. D. Bartlett, “*Entanglement-free, Heisenberg-limited phase estimation*”, invited oral presentation at the Quantum Electronics and Laser Science Conference (San Jose, May 4-9, 2008). -
**D. W. Berry**, B. L. Higgins, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “*Entanglement-free Heisenberg-limited phase estimation*”, oral presentation at Noise Information & Complexity @ Quantum Scale (Erice, November 4-10, 2007). - B. L. Higgins,
**D. W. Berry**, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “*Theory of entanglement-free Heisenberg-limited phase estimation*”, invited plenary presentation at PRACQSYS (Sydney, July 9-13, 2007). -
**H. M. Wiseman**, D. Berry, S. Bartlett and G. Pryde, “*Achieving the Heisenberg Limit in quantum interferometry: can quantum control help?*”, plenary presentation at The 37th Winter Colloquium on the Physics of Quantum Electronics (Snowbird, Utah, January 2-6, 2007). - G. Ahokas, D. W. Berry, R. Cleve, and
**B. C. Sanders**, “*Efficient algorithms for simulating general dynamics on a quantum computer*”, invited presentation at APCTP-TPI Meeting (Alberta, December 19-23, 2006). -
**D. W. Berry**, “*Remote implementation of multipartite unitary operations*”, poster presentation at AIP Congress, (Brisbane, December 3-8, 2006). -
**B. C. Sanders**, D. W. Berry, G. Ahokas, and R. Cleve, “*Efficient quantum algorithms for simulating sparse Hamiltonians*”, oral presentation at Asian Conference on Quantum Information Science 2006, (Beijing, September 1-4, 2006). -
**H. M. Wiseman**, D. Berry, S. Bartlett and G. Pryde, “*Achieving the Heisenberg Limit in quantum interferometry: what does it take?*”, invited oral presentation at Conference of the Australian Optical Society, (Melbourne, July 12-13, 2006). -
**D. W. Berry**, “*Implementation of multipartite unitary operations with limited resources*”, invited presentation at the XI International Conference on Quantum Optics (Minsk, May 26–31, 2006). -
**D. W. Berry**, H. M. Wiseman, and E. Huntington, “*Adaptive Phase Measurements for Narrowband Squeezed Beams*”, oral presentation at the Quantum Electronics and Laser Science Conference (Long Beach, May 21-26, 2006). - D. W. Berry, A. I. Lvovsky and
**B. C. Sanders**, “*Interconvertibility of single-rail optical qubits*”, poster presentation at American Physical Society March Meeting (Baltimore, March 13-17, 2006). - D. W. Berry, G. Ahokas, R. Cleve, and
**B. C. Sanders**, “*Efficient quantum algorithms for simulating sparse Hamiltonians*”, invited presentation at the Sydney Quantum Information Theory Workshop, (Sydney, February 20-24, 2006). - D. W. Berry, G. Ahokas, R. Cleve, and
**B. C. Sanders**, “*Efficient simulations of sparse Hamiltonians*”, invited presentation at the CIAR Quantum Information Processing Meeting (Quebec City, December 8-10, 2005). -
**D. W. Berry**, “*Qubit channels that achieve capacity with two states*”, poster presentation at the Australasian Conference on Optics, Lasers and Spectroscopy (Rotorua, December 5-9, 2005). - D. W. Berry, G. Ahokas, R. Cleve, and
**B. C. Sanders**, “*Efficient simulations of sparse Hamiltonians*”, invited presentation at the Mathematics of Quantum Computation and Quantum Technology conference (College Station, Texas, November 13-16, 2005). -
**D. W. Berry**, “*Qubit channels that achieve capacity with two states*”, poster presentation at the ERATO conference on Quantum Information Science (Tokyo, August 26-30, 2005). -
**M. G. Raymer**, A. C. Funk, and D. W. Berry, “*Secure quantum key distribution using squeezed macroscopic light pulses*”, oral presentation at the SPIE International Symposium on Optics and Photonics (San Diego, July 31 - August 4, 2005). - D. W. Berry, A. I. Lvovsky, and
**B. C. Sanders**, “*Interconvertibility of single-rail optical qubits*”, poster presentation at the American Physical Society March Meeting (Los Angeles, March 21-25, 2005). -
**D. W. Berry**, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight, and R. Laflamme, “*Postprocessing single photon sources via linear optics and photodetection*”, invited presentation at the Xth International Conference on Quantum Optics (Minsk, May 30 – June 3, 2004). -
**D. W. Berry**, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight, and R. Laflamme, “*Improving single photon sources via linear optics and photodetection*”, oral presentation at Fluctuations and Noise in Photonics and Quantum Optics II (Gran Canaria, Spain, 25-28 May 2004). -
**D. W. Berry**, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight, and R. Laflamme, “*Postprocessing single photon sources via linear optics and photodetection*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Francisco, May 16-21, 2004). - A. C. Funk,
**M. G. Raymer**, and D. W. Berry, “*Experimental demonstration of secure quantum key distribution using macroscopic non-classical optical pulses*”, oral presentation at the Quantum Electronics and Laser Science Conference (San Francisco, May 16-21, 2004). -
**D. W. Berry**, S. Scheel, C. R. Myers, B. C. Sanders, P. L. Knight, and R. Laflamme, “*Improving single photon sources via linear optics and photodetection*”, oral presentation at the Australasian Conference on Optics, Lasers and Spectroscopy (Melbourne, December 1-4, 2003). -
**D. W. Berry**and B. C. Sanders, “*Numerical analysis of capacities for two-qubit unitary operations*”, poster presentation at the 4th European QIPC Workshop (Oxford, July 13-17, 2003). -
**D. W. Berry**and B. C. Sanders, “*Quantum teleportation and entanglement swapping for spin systems*”, oral presentation at the Quantum Electronics and Laser Science Conference (Long Beach, May 19-24, 2002). -
**D. W. Berry**and B. C. Sanders, “*Quantum teleportation and entanglement swapping for systems of arbitrary spin*”, oral presentation at the Australasian Conference on Optics, Lasers and Spectroscopy (Brisbane, December 3-6, 2001). - D. W. Berry and
**H. M. Wiseman**, “*Adaptive measurements and optimal states for quantum interferometry*”, oral presentation at the Quantum Electronic and Laser Science Conference (Baltimore, May 8-10 2001). - D. W. Berry and
**H. M. Wiseman**, “*Adaptive measurements and optimal states for quantum interferometry*”, oral presentation at the 14th National Congress of the Australian Institute of Physics (Adelaide, December 10-15 2000). - D. W. Berry,
**N. R. Heckenberg**, and H. Rubinsztein-Dunlop, “*Strong heating effects in optical trapping*”, oral presentation at the Australasian Conference on Optics, Lasers and Spectroscopy (Christchurch, December 14-17, 1998).