Fetching the paper…
Reading the bibliography…
Fermion-to-qubit mappings that preserve geometric locality are especially useful for simulating lattice fermion models (e.g., the Hubbard model) on a quantum computer.
R. P. Feynman, “Simulating physics with computers,” International Journal of Theoretical Physics 21
1982
Earlier work this paper cites.
B. L. Hammond, W. A. Lester, and P. J. Reynolds, Monte Carlo methods in ab initio quantum chemistry , Vol. 1 (World Scientific, 1994)
1994
Earlier work this paper cites.
J. I. Cirac and P. Zoller, “Quantum Computations with Cold Trapped Ions,” Physical Review Letters 74
1995
Earlier work this paper cites.
W. G. Unruh, “Maintaining coherence in quantum computers,” Physical Review A 51
1995
Earlier work this paper cites.
P. W. Shor, “Scheme for reducing decoherence in quantum computer memory,” Physical Review A 52
1995
Earlier work this paper cites.
S. Lloyd, “Universal Quantum Simulators,” Science 273
1996
Earlier work this paper cites.
A. M. Steane, “Error Correcting Codes in Quantum Theory,” Physical Review Letters 77
1996
Earlier work this paper cites.
A. R. Calderbank and P. W. Shor, “Good quantum error-correcting codes exist,” Physical Review A 54
1996
Earlier work this paper cites.
A. Y. Kitaev, “Quantum computations: algorithms and error correction,” Russian Mathematical Surveys 52
1997
Earlier work this paper cites.
D. Aharonov and M. Ben-Or, “Fault tolerant quantum computation with constant error,” in STOC ’97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing (1997) pp. 176–188
1997
Earlier work this paper cites.
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme, “Quantum algorithms for fermionic simulations,” Physical Review A 64
2001
Earlier work this paper cites.
D. Kielpinski, C. Monroe, and D. J. Wineland, “Architecture for a large-scale ion-trap quantum computer,” Nature 417
2002
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, “Fermionic Quantum Computation,” Annals of Physics 298
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.
M. Levin and X.-G. Wen, “Fermions, strings, and gauge fields in lattice spin models,” Physical Review B 67
2003
Earlier work this paper cites.
X.-G. Wen, “Quantum order from string-net condensations and the origin of light and massless fermions,” Physical Review D 68
2003
Earlier work this paper cites.
M. H. Devoret, A. Wallraff, and J. M. Martinis, “Superconducting Qubits: A Short Review,” arXiv:0411174 (2004)
2004
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, “Mapping local Hamiltonians of fermions to local Hamiltonians of spins,” Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Earlier work this paper cites.
D. Bacon, “Operator quantum error-correcting subsystems for self-correcting quantum memories,” Physical Review A 73
2006
Earlier work this paper cites.
P. Aliferis, D. Gottesman, and J. Preskill, “Quantum Accuracy Threshold for Concatenated Distance-3 Codes,” Quantum Info. Comput. 6
2006
Earlier work this paper cites.
H. Häffner, C. F. Roos, and R. Blatt, “Quantum computing with trapped ions,” Physics Reports 469
2008
Cited alongside, same era.
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: Towards practical large-scale quantum computation,” Physical Review A 86
2012
Cited alongside, same era.
A. A. Houck, H. E. Türeci, and J. Koch, “On-chip quantum simulation with superconducting circuits,” Nature Physics 8
2012
Cited alongside, same era.
S. J. Devitt, A. M. Stephens, W. J. Munro, and K. Nemoto, “Requirements for fault-tolerant factoring on an atom-optics quantum computer,” Nature Communications 4
2013
Cited alongside, same era.
K. C. Young, M. Sarovar, and R. Blume-Kohout, “Error Suppression and Error Correction in Adiabatic Quantum Computation: Techniques and Challenges,” Physical Review X 3
2013
Cited alongside, same era.
Z. Jiang and E. G. Rieffel, “Non-commuting two-local Hamiltonians for quantum error suppression,” Quantum Information Processing 16
2017
Later among the works it cites.
V. Havlíček, M. Troyer, and J. D. Whitfield, “Operator locality in the quantum simulation of fermionic models,” Physical Review A 95
2017
Later among the works it cites.
Y. Li and S. C. Benjamin, “Efficient Variational Quantum Simulator Incorporating Active Error Minimization,” Physical Review X 7
2017
Later among the works it cites.
J. Roffe, D. Headley, N. Chancellor, D. Horsman, and V. Kendon, “Protecting quantum memories using coherent parity check codes,” Quantum Science and Technology 3
2018
Closest in time.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi, “Computation of molecular spectra on a quantum processor with an error-resilient algorithm,” Phys. Rev. X 8
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
I. Georgescu, S. Ashhab, and F. Nori, “Quantum simulation,” Reviews of Modern Physics 86
2014
Cited alongside, same era.
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508
2014
Cited alongside, same era.
M. B. Hastings, D. Wecker, B. Bauer, and M. Troyer, “Improving Quantum Algorithms for Quantum Chemistry,” Quantum Info. Comput. 15
2015
Cited alongside, same era.
D. Wecker, M. B. Hastings, N. Wiebe, B. K. Clark, C. Nayak, and M. Troyer, “Solving strongly correlated electron models on a quantum computer,” Physical Review A 92
2015
Cited alongside, same era.
A. D. Bookatz, E. Farhi, and L. Zhou, “Error suppression in Hamiltonian-based quantum computation using energy penalties,” Physical Review A 92
2015
Cited alongside, same era.
D. Gottesman, “Quantum fault tolerance in small experiments,” arXiv:1610.03507 (2016)
2016
Cited alongside, same era.
R. Barends, A. Shabani, L. Lamata, J. Kelly, A. Mezzacapo, U. L. Heras, R. Babbush, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. C. White, E. Solano, H. Neven, and J. M. Martinis, “Digitized adiabatic quantum computing with a superconducting circuit,” Nature 534
2016
Cited alongside, same era.
2018
Closest in time.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien, “Low-cost error mitigation by symmetry verification,” Physical Review A 98
2018
Closest in time.
R. Babbush, N. Wiebe, J. McClean, J. McClain, H. Neven, and G. K.-L. Chan, “Low-Depth Quantum Simulation of Materials,” Physical Review X 8
2018
Closest in time.
I. D. Kivlichan, J. McClean, N. Wiebe, C. Gidney, A. Aspuru-Guzik, G. K.-L. Chan, and R. Babbush, “Quantum Simulation of Electronic Structure with Linear Depth and Connectivity,” Physical Review Letters 120
2018
Closest in time.
2018
Closest in time.
Z. Jiang, K. J. Sung, K. Kechedzhi, V. N. Smelyanskiy, and S. Boixo, “Quantum Algorithms to Simulate Many-Body Physics of Correlated Fermions,” Physical Review Applied 9
2018
Closest in time.
Y.-A. Chen, A. Kapustin, and D. Radičević, “Exact bosonization in two spatial dimensions and a new class of lattice gauge theories,” Annals of Physics 393
2018
Closest in time.
K. Setia and J. D. Whitfield, “Bravyi-Kitaev Superfast simulation of electronic structure on a quantum computer,” The Journal of Chemical Physics 148
2018
Closest in time.
J. Preskill, “Quantum computing in the NISQ era and beyond,” arXiv:1801.00862 (2018)
2018
Closest in time.
R. Harper and S. T. Flammia, “Fault-Tolerant Logical Gates in the IBM Quantum Experience,” Physical Review Letters 122
2019
Closest in time.
S. McArdle, X. Yuan, and S. Benjamin, “Error-Mitigated Digital Quantum Simulation,” Physical Review Letters 122
2019
Closest in time.
K. Setia, S. Bravyi, A. Mezzacapo, and J. D. Whitfield, “Superfast encodings for fermionic quantum simulation,” Physical Review Research 1
2019
Closest in time.
M. Steudtner and S. Wehner, “Quantum codes for quantum simulation of fermions on a square lattice of qubits,” Physical Review A 99
2019
Closest in time.
2019
Closest in time.
J. R. McClean, Z. Jiang, N. C. Rubin, R. Babbush, and H. Neven, “Decoding quantum errors with subspace expansions,” Nature Communications 11
2020
Closest in time.