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Variational quantum eigensolver (VQE) solves the ground state problem of a given Hamiltonian by finding the parameters of a quantum circuit ansatz that minimizes the Hamiltonian expectation value.
L. Landau, “On the theory of phase transitions,” Zh. Eksp. Teor. Fiz 7
1937
Earlier work this paper cites.
P. Pfeuty, “The one-dimensional ising model with a transverse field,” ANNALS of Physics 57
1970
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
M. Suzuki, “Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems,” Communications in Mathematical Physics 51
1976
Earlier work this paper cites.
F. D. M. Haldane, “Nonlinear field theory of large-spin heisenberg antiferromagnets: semiclassically quantized solitons of the one-dimensional easy-axis néel state,” Physical Review Letters 50
1983
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, “Rigorous results on valence-bond ground states in antiferromagnets,” Physical Review Letters 59
1987
Earlier work this paper cites.
X.-G. Wen, Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons (OUP Oxford, 2004)
2004
Earlier work this paper cites.
F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, “Renormalization-group transformations on quantum states,” Physical Review Letters 94
2005
Earlier work this paper cites.
T. Byrnes and Y. Yamamoto, “Simulating lattice gauge theories on a quantum computer,” Physical Review A 73
2006
Earlier work this paper cites.
T. J. Osborne, “Simulating adiabatic evolution of gapped spin systems,” Physical Review A 75
2007
Earlier work this paper cites.
H. Häffner, C. F. Roos, and R. Blatt, “Quantum computing with trapped ions,” Physics reports 469
2008
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and S. Michalakis, “Topological quantum order: stability under local perturbations,” Journal of mathematical physics 51
2010
Earlier work this paper cites.
H. Wagner and U. Schollwoeck, “Mermin-Wagner Theorem,” Scholarpedia 5
2010
Earlier work this paper cites.
M. Saffman, T. G. Walker, and K. Mølmer, “Quantum information with rydberg atoms,” Reviews of modern physics 82
2010
Earlier work this paper cites.
N. Schuch, D. Pérez-García, and I. Cirac, “Classifying quantum phases using matrix product states and projected entangled pair states,” Physical Review B 84
2011
Earlier work this paper cites.
W. Son, L. Amico, and V. Vedral, “Topological order in 1d cluster state protected by symmetry,” Quantum Information Processing 11
2011
Earlier work this paper cites.
S. Bachmann, S. Michalakis, B. Nachtergaele, and R. Sims, “Automorphic equivalence within gapped phases of quantum lattice systems,” Communications in Mathematical Physics 309
2012
Earlier work this paper cites.
M. H. Devoret and R. J. Schoelkopf, “Superconducting circuits for quantum information: an outlook,” Science 339
2013
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
Cited alongside, same era.
2014
Cited alongside, same era.
T. Harty, D. Allcock, C. J. Ballance, L. Guidoni, H. Janacek, N. Linke, D. Stacey, and D. Lucas, “High-fidelity preparation, gates, memory, and readout of a trapped-ion quantum bit,” Physical review letters 113
2014
Cited alongside, same era.
D. Wecker, M. B. Hastings, and M. Troyer, “Progress towards practical quantum variational algorithms,” Physical Review A 92
2015
Cited alongside, same era.
T. Senthil, “Symmetry-protected topological phases of quantum matter,” Annu. Rev. Condens. Matter Phys. 6
2019
Later among the works it cites.
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, “Variational ansatz-based quantum simulation of imaginary time evolution,” npj Quantum Information 5
2019
Later among the works it cites.
S. S. Du, X. Zhai, B. Poczos, and A. Singh, “Gradient descent provably optimizes over-parameterized neural networks,” in International Conference on Learning Representations (2019)
2019
Later among the works it cites.
D. Wierichs, C. Gogolin, and M. Kastoryano, “Avoiding local minima in variational quantum eigensolvers with the natural gradient optimizer,” Physical Review Research 2
2020
Later among the works it cites.
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2015
Cited alongside, same era.
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
Cited alongside, same era.
J. P. Gaebler, T. R. Tan, Y. Lin, Y. Wan, R. Bowler, A. C. Keith, S. Glancy, K. Coakley, E. Knill, D. Leibfried, et al. , “High-fidelity universal gate set for be 9+ ion qubits,” Physical review letters 117
2016
Cited alongside, same era.
F. D. M. Haldane, “Nobel lecture: Topological quantum matter,” Reviews of Modern Physics 89
2017
Cited alongside, same era.
Y. Yamamoto, K. Aihara, T. Leleu, K.-i. Kawarabayashi, S. Kako, M. Fejer, K. Inoue, and H. Takesue, “Coherent ising machines—optical neural networks operating at the quantum limit,” npj Quantum Information 3
2017
Cited alongside, same era.
J. Preskill, “Quantum Computing in the NISQ era and beyond,” Quantum 2
2018
Cited alongside, same era.
G. Zonzo and S. M. Giampaolo, “n-cluster models in a transverse magnetic field,” Journal of Statistical Mechanics: Theory and Experiment 2018
2018
Cited alongside, same era.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, “Barren plateaus in quantum neural network training landscapes,” Nature communications 9
2018
Cited alongside, same era.
R. Wiersema, C. Zhou, Y. de Sereville, J. F. Carrasquilla, Y. B. Kim, and H. Yuen, “Exploring entanglement and optimization within the hamiltonian variational ansatz,” PRX Quantum 1
2020
Later among the works it cites.
S. Bravyi, A. Kliesch, R. Koenig, and E. Tang, “Obstacles to variational quantum optimization from symmetry protection,” Physical Review Letters 125
2020
Later among the works it cites.
J. Stokes, J. Izaac, N. Killoran, and G. Carleo, “Quantum natural gradient,” Quantum 4
2020
Later among the works it cites.
L. Hackl, T. Guaita, T. Shi, J. Haegeman, E. Demler, and J. I. Cirac, “Geometry of variational methods: dynamics of closed quantum systems,” SciPost Phys. 9
2020
Later among the works it cites.
C.-Y. Park and M. J. Kastoryano, “Geometry of learning neural quantum states,” Physical Review Research 2
2020
Later among the works it cites.
L. Henriet, L. Beguin, A. Signoles, T. Lahaye, A. Browaeys, G.-O. Reymond, and C. Jurczak, “Quantum computing with neutral atoms,” Quantum 4
2020
Later among the works it cites.
I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K. Sabapathy, “Progress towards practical qubit computation using approximate gottesman-kitaev-preskill codes,” Physical Review A 101
2020
Later among the works it cites.
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, et al. , “Variational quantum algorithms,” Nature Reviews Physics 3
2021
Closest in time.
D. Stilck França and R. Garcia-Patron, “Limitations of optimization algorithms on noisy quantum devices,” Nature Physics 17
2021
Closest in time.
C.-Y. Park, https://github.com/chaeyeunpark/efficient-vqe-symmetry-breaking (2021)
2021
Closest in time.
F. Pan, K. Chen, and P. Zhang, “Solving the sampling problem of the sycamore quantum circuits,” Physical Review Letters 129
2022
Closest in time.
Z. Holmes, K. Sharma, M. Cerezo, and P. J. Coles, “Connecting ansatz expressibility to gradient magnitudes and barren plateaus,” PRX Quantum 3
2022
Closest in time.
Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. Van Den Berg, S. Rosenblatt, H. Nayfeh, Y. Wu, M. Zaletel, K. Temme, et al. , “Evidence for the utility of quantum computing before fault tolerance,” Nature 618
2023
Closest in time.