Fetching the paper…
Reading the bibliography…
Ground state preparation is classically intractable for general Hamiltonians.
R. P. Feynman, Simulating physics with computers, International Journal of Theoretical Physics 21
1982
Earlier work this paper cites.
D. Ceperley and B. Alder, Quantum Monte Carlo, Science 231
1986
Earlier work this paper cites.
E. Y. Loh, J. E. Gubernatis, R. T. Scalettar, S. R. White, D. J. Scalapino, and R. L. Sugar, Sign problem in the numerical simulation of many-electron systems, Physical Review B 41
1990
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups, Physical Review Letters 69
1992
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
X.-G. Wen, Quantum Orders in an Exact Soluble Model, Physical Review Letters 90
2003
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.
R. Raussendorf, S. Bravyi, and J. Harrington, Long-range quantum entanglement in noisy cluster states, Physical Review A 71
2005
Earlier work this paper cites.
F. Verstraete, M. M. Wolf, D. Perez-Garcia, and J. I. Cirac, Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States, Physical Review Letters 96
2006
Earlier work this paper cites.
A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological Entanglement Entropy, Physical Review Letters 96
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.
B. Collins and P. Śniady, Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group, Communications in Mathematical Physics 264
2006
Earlier work this paper cites.
G. Vidal, Entanglement Renormalization, Physical Review Letters 99
2007
Earlier work this paper cites.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Computational Complexity of Projected Entangled Pair States, Physical Review Letters 98
2007
Earlier work this paper cites.
C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, Sequential generation of matrix-product states in cavity QED, Physical Review A 75
2007
Earlier work this paper cites.
S. Trebst, P. Werner, M. Troyer, K. Shtengel, and C. Nayak, Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension, Phys. Rev. Lett. 98
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.
Y. Sekino and L. Susskind, Fast scramblers, Journal of High Energy Physics 2008
2008
Earlier work this paper cites.
M. C. Bañuls, D. Pérez-García, M. M. Wolf, F. Verstraete, and J. I. Cirac, Sequentially generated states for the study of two-dimensional systems, Physical Review A 77
2008
Earlier work this paper cites.
I. L. Markov and Y. Shi, Simulating Quantum Computation by Contracting Tensor Networks, SIAM Journal on Computing 38
2008
Earlier work this paper cites.
G. Vidal, Class of Quantum Many-Body States That Can Be Efficiently Simulated, Physical Review Letters 101
2008
Earlier work this paper cites.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326
2011
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.
F. Wu, Y. Deng, and N. Prokof’ev, Phase diagram of the toric code model in a parallel magnetic field, Phys. Rev. B 85
2012
Earlier work this paper cites.
N. Lashkari, D. Stanford, M. Hastings, T. Osborne, and P. Hayden, Towards the fast scrambling conjecture, Journal of High Energy Physics 2013
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
Earlier work this paper cites.
J. D. Biamonte, J. Morton, and J. Turner, Tensor Network Contractions for #SAT, Journal of Statistical Physics 160
2015
Earlier work this paper cites.
See Supplemental Material for preliminaries on unitary designs and the Weingarten calculus, basic setup, theoretical derivations including rigorous definitions and complete proofs, and additional numerical results with technical details, which includes Refs. Collins and Śniady 2006 ; Hastings 2007 ; Haferkamp et al. 2020 ; Bravyi et al. 2021 ; Zheng et al. 2017 ; Qin et al. 2020 ; Huang et al. 2017 ; Vidal 2008 ; Malz et al. 2023 ; Landau et al. 2015 ; Chen et al. 2011a ; Chen et al. 2011b ; Schuch et al. 2011 ; Zeng et al. 2019 ; Gray and Kourtis 2021 ; Anshu et al. 2016 ; Schwarz et al. 2017 ; Ran et al. 2020 ; Orús 2019 ; Bluvstein et al. 2022 ; Bluvstein et al. 2023 ; Chu et al. 2023 ; Anshu et al. 2023 ; Bravyi et al. 2023 ; Xu et al. 2023 ; Pan et al. 2020 ; Pan et al. 2022 ; Paeckel et al. 2019 ; Raussendorf et al. 2005 ; Piroli et al. 2021 ; Verresen et al. 2021 ; Tantivasadakarn et al. 2021 ; Bravyi et al. 2022 ; Tantivasadakarn et al. 2023a ; Tantivasadakarn et al. 2023b
2015
Earlier work this paper cites.
Z. Landau, U. Vazirani, and T. Vidick, A polynomial time algorithm for the ground state of one-dimensional gapped local Hamiltonians, Nature Physics 11
2015
Earlier work this paper cites.
A. Anshu, I. Arad, and A. Jain, How local is the information in tensor networks of matrix product states or projected entangled pairs states, Physical Review B 94
2016
Earlier work this paper cites.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets, Nature 549
2017
Earlier work this paper cites.
B.-X. Zheng, C.-M. Chung, P. Corboz, G. Ehlers, M.-P. Qin, R. M. Noack, H. Shi, S. R. White, S. Zhang, and G. K.-L. Chan, Stripe order in the underdoped region of the two-dimensional Hubbard model, Science 358
2017
Earlier work this paper cites.
E. W. Huang, C. B. Mendl, S. Liu, S. Johnston, H.-C. Jiang, B. Moritz, and T. P. Devereaux, Numerical evidence of fluctuating stripes in the normal state of high-$T_c$ cuprate superconductors, Science 358
2017
Earlier work this paper cites.
M. Schwarz, O. Buerschaper, and J. Eisert, Approximating local observables on projected entangled pair states, Physical Review A 95
2017
Earlier work this paper cites.
J. Preskill, Quantum Computing in the NISQ era and beyond, Quantum 2
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.
F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. S. L. Brandao, D. A. Buell, B. Burkett, Y. Chen, Z. Chen, B. Chiaro, R. Collins, W. Courtney, A. Dunsworth, E. Farhi, B. Foxen, A. Fowler, C. Gidney, M. Giustina, R. Graff, K. Guerin, S. Habegger, M. P. Harrigan, M. J. Hartmann, A. Ho, M. Hoffmann, T. Huang, T. S. Humble, S. V. Isakov, E. Jeffrey, Z. Jiang, D. Kafri, K. Kechedzhi, J. Kelly, P. V. Klimov, S. Knysh, A. Korotkov, F. Kostritsa, D. Landhuis, M. Lindmark, E. Lucero, D. Lyakh, S. Mandrà, J. R. McClean, M. McEwen, A. Megrant, X. Mi, K. Michielsen, M. Mohseni, J. Mutus, O. Naaman, M. Neeley, C. Neill, M. Y. Niu, E. Ostby, A. Petukhov, J. C. Platt, C. Quintana, E. G. Rieffel, P. Roushan, N. C. Rubin, D. Sank, K. J. Satzinger, V. Smelyanskiy, K. J. Sung, M. D. Trevithick, A. Vainsencher, B. Villalonga, T. White, Z. J. Yao, P. Yeh, A. Zalcman, H. Neven, and J. M. Martinis, Quantum supremacy using a programmable superconducting processor, Nature 574
2021
Later among the works it cites.
L. Bittel and M. Kliesch, Training Variational Quantum Algorithms Is NP-Hard, Physical Review Letters 127
2021
Later among the works it cites.
S. Bravyi, D. Gosset, and R. Movassagh, Classical algorithms for quantum mean values, Nature Physics 17
2021
Later among the works it cites.
J. Gray and S. Kourtis, Hyper-optimized tensor network contraction, Quantum 5
2021
Later among the works it cites.
L. Piroli, G. Styliaris, and J. I. Cirac, Quantum Circuits Assisted by Local Operations and Classical Communication: Transformations and Phases of Matter, Physical Review Letters 127
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2019
Cited alongside, same era.
H. R. Grimsley, S. E. Economou, E. Barnes, and N. J. Mayhall, An adaptive variational algorithm for exact molecular simulations on a quantum computer, Nature Communications 10
2019
Cited alongside, same era.
E. Grant, L. Wossnig, M. Ostaszewski, and M. Benedetti, An initialization strategy for addressing barren plateaus in parametrized quantum circuits, Quantum 3
2019
Cited alongside, same era.
B. Zeng, X. Chen, D.-L. Zhou, and X.-G. Wen, Quantum Information Meets Quantum Matter, Quantum Science and Technology (Springer New York, New York, NY, 2019)
2019
Cited alongside, same era.
R. Orús, Tensor networks for complex quantum systems, Nature Reviews Physics 1
2019
Cited alongside, same era.
S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck, and C. Hubig, Time-evolution methods for matrix-product states, Annals of Physics 411
2019
Cited alongside, same era.
H.-S. Zhong, H. Wang, Y.-H. Deng, M.-C. Chen, L.-C. Peng, Y.-H. Luo, J. Qin, D. Wu, X. Ding, Y. Hu, P. Hu, X.-Y. Yang, W.-J. Zhang, H. Li, Y. Li, X. Jiang, L. Gan, G. Yang, L. You, Z. Wang, L. Li, N.-L. Liu, C.-Y. Lu, and J.-W. Pan, Quantum computational advantage using photons, Science 370
2020
Cited alongside, same era.
K. M. Nakanishi, K. Fujii, and S. Todo, Sequential minimal optimization for quantum-classical hybrid algorithms, Phys. Rev. Res. 2
2020
Cited alongside, same era.
S.-J. Ran, Encoding of matrix product states into quantum circuits of one- and two-qubit gates, Physical Review A 101
2020
Cited alongside, same era.
M. P. Zaletel and F. Pollmann, Isometric Tensor Network States in Two Dimensions, Physical Review Letters 124
2020
Cited alongside, same era.
2021
Later among the works it cites.
2021
Later among the works it cites.
2022
Later among the works it cites.
A. Arrasmith, Z. Holmes, M. Cerezo, and P. J. Coles, Equivalence of quantum barren plateaus to cost concentration and narrow gorges, Quantum Science and Technology 7
2022
Later among the works it cites.
Z. Holmes, K. Sharma, M. Cerezo, and P. J. Coles, Connecting Ansatz Expressibility to Gradient Magnitudes and Barren Plateaus, PRX Quantum 3
2022
Later among the works it cites.
L. Gioia and C. Wang, Nonzero Momentum Requires Long-Range Entanglement, Physical Review X 12
2022
Later among the works it cites.
Z.-Y. Wei, D. Malz, and J. I. Cirac, Sequential Generation of Projected Entangled-Pair States, Physical Review Letters 128
2022
Later among the works it cites.
R. Haghshenas, J. Gray, A. C. Potter, and G. K.-L. Chan, Variational Power of Quantum Circuit Tensor Networks, Physical Review X 12
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 13
2022
Later among the works it cites.
D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and M. D. Lukin, A quantum processor based on coherent transport of entangled atom arrays, Nature 604
2022
Later among the works it cites.
F. Pan, K. Chen, and P. Zhang, Solving the Sampling Problem of the Sycamore Quantum Circuits, Physical Review Letters 129
2022
Later among the works it cites.
2022
Later among the works it cites.
C. Tabares, A. Muñoz de las Heras, L. Tagliacozzo, D. Porras, and A. González-Tudela, Variational Quantum Simulators Based on Waveguide QED, Physical Review Letters 131
2023
Closest in time.
H. R. Grimsley, N. J. Mayhall, G. S. Barron, E. Barnes, and S. E. Economou, Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus, npj Quantum Information 9
2023
Closest in time.
E. Cervero Martín, K. Plekhanov, and M. Lubasch, Barren plateaus in quantum tensor network optimization, Quantum 7
2023
Closest in time.
2023
Closest in time.
R. J. Garcia, C. Zhao, K. Bu, and A. Jaffe, Barren plateaus from learning scramblers with local cost functions, Journal of High Energy Physics 2023
2023
Closest in time.
2023
Closest in time.
R.-Y. Sun, T. Shirakawa, and S. Yunoki, Parametrized quantum circuit for weight-adjustable quantum loop gas, Physical Review B 107
2023
Closest in time.
L. Haller, W.-t. Xu, Y.-j. Liu, and F. Pollmann, Quantum phase transition between symmetry enriched topological phases in tensor-network states, Physical Review Research 5
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, J. P. B. Ataides, N. Maskara, I. Cong, X. Gao, P. S. Rodriguez, T. Karolyshyn, G. Semeghini, M. J. Gullans, M. Greiner, V. Vuletić, and M. D. Lukin, Logical quantum processor based on reconfigurable atom arrays, Nature (2023), 10.1038/s41586-023-06927-3
2023
Closest in time.
2023
Closest in time.
A. Anshu, N. P. Breuckmann, and C. Nirkhe, NLTS Hamiltonians from Good Quantum Codes, in Proceedings of the 55th Annual ACM Symposium on Theory of Computing (ACM, New York, NY, USA, 2023) pp. 1090–1096
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.