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We construct quantum circuits which exactly encode the spectra of correlated electron models up to errors from rotation synthesis.
P. Jordan and E. Wigner, “über das paulische äquivalenzverbot,” Zeitschrift für Physik 47
1928
Earlier work this paper cites.
M. Gell-Mann and K. A. Brueckner, “Correlation energy of an electron gas at high density,” Physical Review 106
1957
Earlier work this paper cites.
J. Hubbard, “Electron Correlations in Narrow Energy Bands,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 276
1963
Earlier work this paper cites.
P. Hohenberg and W. Kohn, “Inhomogeneous Electron Gas,” Physical Review 136
1964
Earlier work this paper cites.
E. H. Lieb and F. Y. Wu, “Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension,” Physical Review Letters 20
1968
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, “The finite group velocity of quantum spin systems,” in Statistical Mechanics (Springer, 1972) pp. 425–431
1972
Earlier work this paper cites.
A. Walker, “New fast method for generating discrete random numbers with arbitrary frequency distributions,” Electronics Letters 10
1974
Earlier work this paper cites.
D. L. Freeman, “Coupled-cluster expansion applied to the electron gas: Inclusion of ring and exchange effects,” Physical Review B 15
1977
Earlier work this paper cites.
D. M. Ceperley and B. J. Alder, “Ground state of the electron gas by a stochastic method,” Physical Review Letters 45
1980
Earlier work this paper cites.
R. P. Feynman, “Simulating physics with computers,” International Journal of Theoretical Physics 21
1982
Earlier work this paper cites.
R. P. Feynman, “Quantum mechanical computers,” Foundations of Physics 16
1986
Earlier work this paper cites.
B. Tanatar and D. M. Ceperley, “Ground state of the two-dimensional electron gas,” Physical Review B 39
1989
Earlier work this paper cites.
W. Metzner and D. Vollhardt, “Correlated Lattice Fermions in Infinity Dimensions,” Physical Review Letters 62
1989
Earlier work this paper cites.
M. Vose, “A linear algorithm for generating random numbers with a given distribution,” IEEE Transactions on Software Engineering 17
1991
Earlier work this paper cites.
M. Stone, Quantum Hall Effect (World Scientific, 1992)
1992
Earlier work this paper cites.
M. Suzuki, “Improved Trotter-Like Formula,” Physics Letters A 180
1993
Earlier work this paper cites.
A. Y. Kitaev, “Quantum measurements and the Abelian Stabilizer Problem,” arXiv:9511026 (1995)
1995
Earlier work this paper cites.
M. T. Wilson and B. L. Gyorffy, “A constrained path auxiliary-field quantum Monte Carlo method for the homogeneous electron gas,” Journal of Physics: Condensed Matter 7
1995
Earlier work this paper cites.
S. Lloyd, “Universal Quantum Simulators,” Science 273
1996
Earlier work this paper cites.
A. Luis and J. Peřina, “Optimum phase-shift estimation and the quantum description of the phase difference,” Physical Review A 54
1996
Earlier work this paper cites.
R. B. Griffiths and C.-S. Niu, “Semiclassical Fourier Transform for Quantum Computation,” Physical Review Letters 76
1996
Earlier work this paper cites.
D. S. Abrams and S. Lloyd, “Simulation of Many-Body Fermi Systems on a Universal Quantum Computer,” Physical Review Letters 79
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, “Quantum codes on a lattice with boundary,” quant-ph/9811052 (1998)
1998
Earlier work this paper cites.
D. S. Abrams and S. Lloyd, “Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors,” Physical Review Letters 83
1999
Earlier work this paper cites.
L. K. Grover, “Synthesis of quantum superpositions by quantum computation,” Physical Review Letters 85
2000
Earlier work this paper cites.
P. Høyer, “Arbitrary phases in quantum amplitude amplification,” Physical Review A 62
2000
Earlier work this paper cites.
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, “A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem,” Science 292
2001
Earlier work this paper cites.
B. C. Travaglione, M. A. Nielsen, H. M. Wiseman, and A. Ambainis, “ROM-based computation: quantum versus classical,” Quantum Information & Computation 2
2001
Earlier work this paper cites.
L.-A. Wu, M. S. Byrd, and D. A. Lidar, “Polynomial-Time Simulation of Pairing Models on a Quantum Computer,” Physical Review Letters 89
2002
Earlier work this paper cites.
E. Dennis, A. Y. Kitaev, A. Landahl, and J. Preskill, “Topological quantum memory,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
T. Helgaker, P. Jorgensen, and J. Olsen, Molecular Electronic Structure Theory (Wiley, 2002)
2002
Earlier work this paper cites.
R. D. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme, “Simulating physical phenomena by quantum networks,” Physical Review A 65
2002
Earlier work this paper cites.
F. H. Zong, C. Lin, and D. M. Ceperley, “Spin polarization of the low-density three-dimensional electron gas,” Physical Review E 66
2002
Earlier work this paper cites.
C. Attaccalite, S. Moroni, P. Gori-Giorgi, and G. B. Bachelet, “Correlation energy and spin polarization in the 2D electron gas,” Physical Review Letters 88
2002
Cited alongside, same era.
D. Aharonov and A. Ta-Shma, “Adiabatic quantum state generation and statistical zero knowledge,” in Proceedings of the thirty-fifth ACM symposium on Theory of computing - STOC ’03 (ACM Press, New York, New York, USA, 2003) p. 20
2003
Cited alongside, same era.
M. Szegedy, “Quantum Speed-Up of Markov Chain Based Algorithms,” in 45th Annual IEEE Symposium on Foundations of Computer Science (IEEE, 2004) pp. 32–41
2004
Cited alongside, same era.
R. Martin, Electronic Structure (Cambridge University Press, Cambridge, U.K., 2004)
2004
Cited alongside, same era.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, “Simulated Quantum Computation of Molecular Energies,” Science 309
J. P. F. LeBlanc, A. E. Antipov, F. Becca, I. W. Bulik, G. K.-L. Chan, C.-M. Chung, Y. Deng, M. Ferrero, T. M. Henderson, C. A. Jiménez-Hoyos, E. Kozik, X.-W. Liu, A. J. Millis, N. V. Prokof’ev, M. Qin, G. E. Scuseria, H. Shi, B. V. Svistunov, L. F. Tocchio, I. S. Tupitsyn, S. R. White, S. Zhang, B.-X. Zheng, Z. Zhu, and E. Gull, “Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms,” Physical Review X 5
2015
Later among the works it cites.
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, A. Megrant, J. Y. Mutus, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis, “Scalable Quantum Simulation of Molecular Energies,” Physical Review X 6
2016
Later among the works it cites.
J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, “The Theory of Variational Hybrid Quantum-Classical Algorithms,” New Journal of Physics 18
2016
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2005
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S. Bravyi and A. Y. Kitaev, “Universal quantum computation with ideal Clifford gates and noisy ancillas,” Physical Review A 71
2005
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B. W. Reichardt, “Quantum universality from magic states distillation applied to CSS codes,” Quantum Information Processing 4
2005
Cited alongside, same era.
V. V. Shende, S. S. Bullock, and I. L. Markov, “Synthesis of quantum-logic circuits,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 25
2006
Cited alongside, same era.
R. Raussendorf and J. Harrington, “Fault-tolerant quantum computation with high threshold in two dimensions,” Physical Review Letters 98
2007
Cited alongside, same era.
R. Raussendorf, J. Harrington, and K. Goyal, “Topological fault-tolerance in cluster state quantum computation,” New Journal of Physics 9
2007
Cited alongside, same era.
S. Tosoni, C. Tuma, J. Sauer, B. Civalleri, and P. Ugliengo, “A comparison between plane wave and Gaussian-type orbital basis sets for hydrogen bonded systems: Formic acid as a test case,” The Journal of Chemical Physics 127
2007
Cited alongside, same era.
N. D. Drummond and R. J. Needs, “Phase diagram of the low-density two-dimensional homogeneous electron gas,” Physical Review Letters 102
2009
Cited alongside, same era.
Later among the works it cites.
G. H. Low and I. L. Chuang, “Hamiltonian Simulation by Qubitization,” arXiv:1610.06546 (2016)
2016
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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
2016
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I. Kerenidis and A. Prakash, “Quantum Recommendation Systems,” arXiv:1603.08675 (2016)
2016
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2016
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R. Martin, L. Reining, and D. Ceperley, Interacting Electrons (Cambridge Univesity Press, Cambridge, U.K., 2016)
2016
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B. Bauer, D. Wecker, A. J. Millis, M. B. Hastings, and M. Troyer, “Hybrid Quantum-Classical Approach to Correlated Materials,” Physical Review X 6
2016
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A. Kandala, A. Mezzacapo, K. Temme, M. Takita, J. M. Chow, and J. M. Gambetta, “Hardware-efficient Quantum Optimizer for Small Molecules and Quantum Magnets,” Nature 549
2017
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2017
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G. H. Low and I. L. Chuang, “Optimal Hamiltonian Simulation by Quantum Signal Processing,” Physical Review Letters 118
2017
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D. Poulin, A. Y. Kitaev, D. Steiger, M. Hastings, and M. Troyer, “Fast Quantum Algorithm for Spectral Properties,” Physical Review Letters 121
2017
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X. Fu, M. A. Rol, C. C. Bultink, J. van Someren, N. Khammassi, I. Ashraf, R. F. L. Vermeulen, J. C. de Sterke, W. J. Vlothuizen, R. N. Schouten, C. G. Almudever, L. DiCarlo, and K. Bertels, “An experimental microarchitecture for a superconducting quantum processor,” Proceedings of the 50th Annual IEEE/ACM International Symposium on Microarchitecture , 813 (2017)
2017
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M. Reiher, N. Wiebe, K. M. Svore, D. Wecker, and M. Troyer, “Elucidating Reaction Mechanisms on Quantum Computers,” Proceedings of the National Academy of Sciences 114
2017
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S. R. White, “Hybrid grid/basis set discretizations of the Schrödinger equation,” The Journal of Chemical Physics 147
2017
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2017
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C. Gidney, “Halving the cost of quantum addition,” arXiv:1709.06648 (2017)
2017
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2017
Later among the works it cites.
B. J. Brown, K. Laubscher, M. S. Kesselring, and J. R. Wootton, “Poking holes and cutting corners to achieve clifford gates with the surface code,” Physical Review X 7
2017
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A. Paler, A. G. Fowler, and R. Wille, “Synthesis of arbitrary quantum circuits to topological assembly: Systematic, online and compact,” Scientific Reports 7
2017
Later among the works it cites.
I. D. Kivlichan, N. Wiebe, R. Babbush, and A. Aspuru-Guzik, “Bounding the costs of quantum simulation of many-body physics in real space,” Journal of Physics A: Mathematical and Theoretical 50
2017
Later among the works it cites.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi, “Robust Determination of Molecular Spectra on a Quantum Processor,” Physical Review X 8
2018
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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
2018
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A. Dunsworth, A. Megrant, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Fowler, B. Foxen, E. Jeffrey, J. Kelly, P. V. Klimov, E. Lucero, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. C. White, H. Neven, and J. M. Martinis, “Low loss multi-layer wiring for superconducting microwave devices,” Applied Physics Letters 112
2018
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2018
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C. Gidney and R. Babbush, “Quantum Read-Only Memory for Implement Efficient Fault-Tolerant Quantum Oracles,” In preparation (2018)
2018
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2018
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2018
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