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The performance of quantum algorithms for eigenvalue problems, such as computing Hamiltonian spectra, depends strongly on the overlap of the initial wavefunction and the target eigenvector.
P. Jordan and E. P. Wigner, Ueber das paulische aequivalenzverbot, Zeitschrift fuer Physik (1928)
1928
Earlier work this paper cites.
G. Rumer, Zur theorie der spinvalenz, Ges. d. Wiss. Nachrichten. Math.-Phys. Klasse 377
1932
Earlier work this paper cites.
R. Serber, Extension of the dirac vector model to include several configurations, Physical Review 45
1934
Earlier work this paper cites.
J. H. V. Vleck, Nonorthogonality and ferromagnetism, Physical Review 49
1936
Earlier work this paper cites.
D. J. Thouless, Stability conditions and nuclear rotations in the hartree-fock theory, Nuclear Physics 21
1960
Earlier work this paper cites.
M. KOTANI, A. AMEMIYA, E. ISHIGURO, and T. KIMURA, Tables of Molecular Integrals , 2nd ed. (Maruzen,Tokyo, 1963)
1963
Earlier work this paper cites.
R. Pauncz, Spin Eigenfunctions: Construction and Use (Springer US (New York), 1979)
1979
Earlier work this paper cites.
A. Y. Kitaev, Quantum measurements and the abelian stabilizer problem, arXiv:quant-ph/9511026 (1995)
1995
Earlier work this paper cites.
W. Kohn, Nobel lecture: Electronic structure of matter—wave functions and density functionals, Reviews of Modern Physics 71
1999
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.
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, Quantum computation by adiabatic evolution, arXiv:quant-ph/0001106 (2000)
2000
Earlier work this paper cites.
A. Szabo and N. S. Ostlund, Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory (Dover Publications, 2000)
2000
Earlier work this paper cites.
W. A. Goddard, R. Paul, A. E. D. Vries, and W. A. G. Iii, Improved quantum theory of many‐electron systems. iii. the gf method, The Journal of Chemical Physics 48
2003
Earlier work this paper cites.
W. A. Goddard, Improved quantum theory of many‐electron systems. iv. properties of gf wavefunctions, The Journal of Chemical Physics 48
2003
Earlier work this paper cites.
R. C. Ladner and W. A. Goddard, Improved quantum theory of many‐electron systems. v. the spin‐coupling optimized gi method, The Journal of Chemical Physics 51
2003
Earlier work this paper cites.
M. Möttönen, J. J. Vartiainen, V. Bergholm, and M. M. Salomaa, Transformation of quantum states using uniformly controlled rotations, Quantum Information and Computation 5
2004
Earlier work this paper cites.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Simulated quantum computation of molecular energies, Science 309
2005
Earlier work this paper cites.
C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, Sequential generation of entangled multiqubit states, Physical Review Letters 95
2005
Earlier work this paper cites.
J. Kempe, A. Kitaev, and O. Regev, The complexity of the local hamiltonian problem, SIAM Journal on Computing 35
2006
Earlier work this paper cites.
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
Earlier work this paper cites.
D. Bacon, I. L. Chuang, and A. W. Harrow, Efficient quantum circuits for schur and clebsch-gordan transforms, Physical Review Letters 97
2006
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and F. Verstraete, Lieb-robinson bounds and the generation of correlations and topological quantum order, Physical Review Letters 97
2006
Earlier work this paper cites.
D. P. Tew, W. Klopper, and T. Helgaker, Electron correlation: The many-body problem at the heart of chemistry, Journal of Computational Chemistry 28
2007
Earlier work this paper cites.
R. J. Bartlett and M. Musiał, Coupled-cluster theory in quantum chemistry, Reviews of Modern Physics 79
2007
Earlier work this paper cites.
M. B. Hastings, An area law for one-dimensional quantum systems, Journal of Statistical Mechanics: Theory and Experiment 2007
2007
Earlier work this paper cites.
G. H. Booth, A. J. Thom, and A. Alavi, Fermion monte carlo without fixed nodes: A game of life, death, and annihilation in slater determinant space, Journal of Chemical Physics 131
2009
Earlier work this paper cites.
T. Bastin, C. Thiel, J. V. Zanthier, L. Lamata, E. Solano, and G. S. Agarwal, Operational determination of multiqubit entanglement classes via tuning of local operations, Physical Review Letters 102
2009
Earlier work this paper cites.
D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, Preparation of dicke states in an ion chain, Physical Review A - Atomic, Molecular, and Optical Physics 80
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2010)
2010
Earlier work this paper cites.
A. J. W. Thom, Stochastic coupled cluster theory, Physical Review Letters 105
2010
Earlier work this paper cites.
T. Helgaker, W. Klopper, and D. P. Tew, Quantitative quantum chemistry, Molecular Physics 106
2010
Earlier work this paper cites.
D. Cleland, G. H. Booth, and A. Alavi, Communications: Survival of the fittest: Accelerating convergence in full configuration-interaction quantum monte carlo, Journal of Chemical Physics 132
2010
Earlier work this paper cites.
G. K.-L. Chan and S. Sharma, The density matrix renormalization group in quantum chemistry, Annual Review of Physical Chemistry 62
2011
Earlier work this paper cites.
S. Sharma and G. K. L. Chan, Spin-adapted density matrix renormalization group algorithms for quantum chemistry, The Journal of Chemical Physics 136
2012
Earlier work this paper cites.
A. M. Childs and N. Wiebe, Hamiltonian simulation using linear combinations of unitary operations, Quantum Information and Computation 12
2012
Earlier work this paper cites.
G. K. L. Chan, Low entanglement wavefunctions, Wiley Interdisciplinary Reviews: Computational Molecular Science 2
2012
Earlier work this paper cites.
P. Selinger, Efficient clifford+t approximation of single-qubit operators, Quantum Information and Computation 15
2012
Earlier work this paper cites.
T. Helgaker, P. Jorgensen, and J. Olsen, Molecular Electronic-Structure Theory (John Wiley and Sons, 2014)
2014
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M. H. Yung, X. Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien, A variational eigenvalue solver on a photonic quantum processor, Nature Communications 5
2014
Earlier work this paper cites.
L. Veis and J. Pittner, Adiabatic state preparation study of methylene, Journal of Chemical Physics 140
2014
Earlier work this paper cites.
S. Sharma, K. Sivalingam, F. Neese, and G. K. L. Chan, Low-energy spectrum of iron–sulfur clusters directly from many-particle quantum mechanics, Nature Chemistry 2014 6:10 6
2014
Earlier work this paper cites.
N. J. Ross and P. Selinger, Optimal ancilla-free clifford+t approximation of z-rotations, Quantum Information and Computation 16
2014
Earlier work this paper cites.
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
2015
Earlier work this paper cites.
A. Bocharov, M. Roetteler, and K. M. Svore, Efficient synthesis of universal repeat-until-success quantum circuits, Physical Review Letters 114
2015
Earlier work this paper 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
Earlier work this paper cites.
A. A. Holmes, N. M. Tubman, and C. J. Umrigar, Heat-bath configuration interaction: An efficient selected configuration interaction algorithm inspired by heat-bath sampling, Journal of Chemical Theory and Computation 12
2016
Earlier work this paper cites.
N. M. Tubman, J. Lee, T. Y. Takeshita, M. Head-Gordon, and K. B. Whaley, A deterministic alternative to the full configuration interaction quantum monte carlo method, Journal of Chemical Physics 145
2016
Earlier work this paper cites.
K. Sugisaki, S. Yamamoto, S. Nakazawa, K. Toyota, K. Sato, D. Shiomi, and T. Takui, Quantum chemistry on quantum computers: A polynomial-time quantum algorithm for constructing the wave functions of open-shell molecules, Journal of Physical Chemistry A 120
2016
Cited alongside, same era.
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 of the United States of America 114
2017
Cited alongside, same era.
J. R. McClean, M. E. Kimchi-Schwartz, J. Carter, and W. A. de Jong, Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states, Physical Review A 95
2017
Cited alongside, same era.
F. A. Evangelista, Perspective: Multireference coupled cluster theories of dynamical electron correlation, Journal of Chemical Physics 149
2018
Cited alongside, same era.
A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Theory of trotter error with commutator scaling, Physical Review X 11
2021
Later among the works it cites.
G. H. Low, Halving the cost of quantum multiplexed rotations, arXiv:2110.13439 (2021)
2021
Later among the works it cites.
B. O’Gorman, S. Irani, J. Whitfield, and B. Fefferman, Intractability of electronic structure in a fixed basis, PRX Quantum 3
2022
Later among the works it cites.
2022
Later among the works it cites.
E. R. Anschuetz and B. T. Kiani, Quantum variational algorithms are swamped with traps, Nature Communications 2022 13:1 13
2022
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2018
Cited alongside, same era.
T. Albash and D. A. Lidar, Adiabatic quantum computation, Reviews of Modern Physics 90
2018
Cited alongside, same era.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. D. Jong, and I. Siddiqi, Computation of molecular spectra on a quantum processor with an error-resilient algorithm, Physical Review X 8
2018
Cited alongside, same era.
2018
Cited alongside, same era.
I. D. Kivlichan, J. Mcclean, N. Wiebe, C. Gidney, A. Aspuru-guzik, G. K. lic Chan, and R. Babbush, Quantum simulation of electronic structure with linear depth and connectivity, Physical Review Letters 120
2018
Cited alongside, same era.
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
2018
Cited alongside, same era.
C. Gidney, Halving the cost of quantum addition, Quantum 2
2018
Cited alongside, same era.
Q. Sun, T. C. Berkelbach, N. S. Blunt, et al. , Pyscf: the python‐based simulations of chemistry framework, WIREs Computational Molecular Science 8
2018
Cited alongside, same era.
Later among the works it cites.
J. M. Arrazola, O. D. Matteo, N. Quesada, S. Jahangiri, A. Delgado, and N. Killoran, Universal quantum circuits for quantum chemistry, Quantum 6
2022
Later among the works it cites.
J. F. Gonthier, M. D. Radin, C. Buda, E. J. Doskocil, C. M. Abuan, and J. Romero, Measurements as a roadblock to near-term practical quantum advantage in chemistry: Resource analysis, Physical Review Research 4
2022
Later among the works it cites.
K. Sugisaki, K. Toyota, K. Sato, D. Shiomi, and T. Takui, Adiabatic state preparation of correlated wave functions with nonlinear scheduling functions and broken-symmetry wave functions, Communications Chemistry 2022 5:1 5
2022
Later among the works it cites.
K. Klymko, C. Mejuto-Zaera, S. J. Cotton, et al. , Real-time evolution for ultracompact hamiltonian eigenstates on quantum hardware, PRX Quantum 3
2022
Later among the works it cites.
E. N. Epperly, L. Lin, and Y. Nakatsukasa, A theory of quantum subspace diagonalization, SIAM Journal on Matrix Analysis and Applications 43
2022
Later among the works it cites.
C. L. Cortes and S. K. Gray, Quantum krylov subspace algorithms for ground- and excited-state energy estimation, Physical Review A 105
2022
Later among the works it cites.
G. Wang, S. Sim, and P. D. Johnson, State preparation boosters for early fault-tolerant quantum computation, Quantum 6
2022
Later among the works it cites.
2022
Later among the works it cites.
W. Dobrautz, V. M. Katukuri, N. A. Bogdanov, D. Kats, G. L. Manni, and A. Alavi, Combined unitary and symmetric group approach applied to low-dimensional heisenberg spin systems, Physical Review B 105
2022
Later among the works it cites.
A. Carbone, D. E. Galli, M. Motta, and B. Jones, Quantum circuits for the preparation of spin eigenfunctions on quantum computers, Symmetry 2022, Vol. 14, Page 624 14
2022
Later among the works it cites.
A. Bärtschi and S. Eidenbenz, Short-depth circuits for dicke state preparation, 2022 IEEE International Conference on Quantum Computing and Engineering (QCE) 10.48550/arxiv.2207.09998 (2022)
2022
Later among the works it cites.
S. Aktar, A. Bartschi, A.-H. A. Badawy, and S. Eidenbenz, A divide-and-conquer approach to dicke state preparation, IEEE Transactions on Quantum Engineering 3
2022
Later among the works it cites.
Y. Dong, L. Lin, and Y. Tong, Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices, PRX Quantum 3
2022
Later among the works it cites.
L. Lin and Y. Tong, Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers, PRX Quantum 3
2022
Later among the works it cites.
H. R. Larsson, H. Zhai, C. J. Umrigar, and G. K. L. Chan, The chromium dimer: Closing a chapter of quantum chemistry, Journal of the American Chemical Society 144
2022
Later among the works it cites.
W. J. Huggins, B. A. O’Gorman, N. C. Rubin, D. R. Reichman, R. Babbush, and J. Lee, Unbiasing fermionic quantum monte carlo with a quantum computer, Nature , 1 (2022)
2022
Later among the works it cites.
U. Baek, D. Hait, J. Shee, O. Leimkuhler, W. J. Huggins, T. F. Stetina, M. Head-Gordon, and K. B. Whaley, Say no to optimization: A nonorthogonal quantum eigensolver, PRX Quantum 4
2023
Later among the works it cites.
R. D’Cunha, T. D. Crawford, M. Motta, and J. E. Rice, Challenges in the use of quantum computing hardware-efficient ansätze in electronic structure theory, Journal of Physical Chemistry A 127
2023
Later among the works it cites.
C. Gustiani, R. Meister, and S. C. Benjamin, Exploiting subspace constraints and ab initio variational methods for quantum chemistry, New Journal of Physics 25
2023
Later among the works it cites.
H. G. Burton, D. Marti-Dafcik, D. P. Tew, and D. J. Wales, Exact electronic states with shallow quantum circuits from global optimisation, npj Quantum Information 2023 9:1 9
2023
Later among the works it cites.
S. Lee, J. Lee, H. Zhai, et al. , Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry, Nature Communications 2023 14:1 14
2023
Later among the works it cites.
Y. Shen, K. Klymko, J. Sud, D. B. Williams–Young, W. A. de Jong, and N. M. Tubman, Real-time krylov theory for quantum computing algorithms, Quantum 7
2023
Later among the works it cites.
N. H. Stair, C. L. Cortes, R. M. Parrish, J. Cohn, and M. Motta, Stochastic quantum krylov protocol with double-factorized hamiltonians, Physical Review A 107
2023
Later among the works it cites.
W. Kirby, M. Motta, and A. Mezzacapo, Exact and efficient lanczos method on a quantum computer, Quantum 7
2023
Later among the works it cites.
R. Izsák, A. V. Ivanov, N. S. Blunt, N. Holzmann, and F. Neese, Measuring electron correlation: The impact of symmetry and orbital transformations, Journal of Chemical Theory and Computation 19
2023
Later among the works it cites.
2023
Later among the works it cites.
S. Aktar, A. H. A. Badawy, A. Bärtschi, and S. Eidenbenz, Scalable experimental bounds for dicke and ghz states fidelities, Proceedings of the 20th ACM International Conference on Computing Frontiers 2023, CF 2023 , 176 (2023)
2023
Later among the works it cites.
A. Khamoshi, R. Dutta, and G. E. Scuseria, State preparation of antisymmetrized geminal power on a quantum computer without number projection, Journal of Physical Chemistry A 127
2023
Later among the works it cites.
M. S. Rudolph, J. Chen, J. Miller, A. Acharya, and A. Perdomo-Ortiz, Decomposition of matrix product states into shallow quantum circuits, Quantum Science and Technology 9
2023
Later among the works it cites.
K. Dalton, C. K. Long, Y. S. Yordanov, C. G. Smith, C. H. Barnes, N. Mertig, and D. R. Arvidsson-Shukur, Quantifying the effect of gate errors on variational quantum eigensolvers for quantum chemistry, npj Quantum Information 2024 10:1 10
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2024
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2024
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2024
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2024
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