Fetching the paper…
Reading the bibliography…
Quantum computers hold the promise of solving certain problems that lie beyond the reach of conventional computers.
1910
Earlier work this paper cites.
T. W. B. Kibble, Topology of cosmic domains and strings, J. Phys. A 9
1976
Earlier work this paper cites.
S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Optimization by Simulated Annealing, Science 220
1983
Earlier work this paper cites.
W. H. Zurek, Cosmological experiments in superfluid helium?, Nature 317
1985
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Finitely correlated states on quantum spin chains, Commun. Math. Phys. 144
1992
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical recipes in C (2nd ed.): the art of scientific computing (Cambridge University Press, USA, 1992)
1992
Earlier work this paper cites.
A. Gelman and D. B. Rubin, Inference from iterative simulation using multiple sequences, Statistical Science 7
1992
Earlier work this paper cites.
S. R. White, Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B 48
1993
Earlier work this paper cites.
M. Guo, R. N. Bhatt, and D. A. Huse, Quantum critical behavior of a three-dimensional Ising spin glass in a transverse magnetic field, Physical Review Letters 72
1994
Earlier work this paper cites.
H. Rieger and A. P. Young, Zero-temperature quantum phase transition of a two-dimensional Ising spin glass, Physical Review Letters 72
1994
Earlier work this paper cites.
N. Read, S. Sachdev, and J. Ye, Landau theory of quantum spin glasses of rotors and Ising spins, Physical Review B 52
1995
Earlier work this paper cites.
T. Kadowaki and H. Nishimori, Quantum annealing in the transverse Ising model, Physical Review E 58
1998
Earlier work this paper cites.
S.-I. Amari, Natural gradient works efficiently in learning, Neural computation 10
1998
Earlier work this paper cites.
J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, Quantum Annealing of a Disordered Magnet, Science 284
1999
Earlier work this paper cites.
G. Vidal, Efficient Classical Simulation of Slightly Entangled Quantum Computations, Physical Review Letters 91
2003
Earlier work this paper cites.
2003
Earlier work this paper cites.
P. Grassberger, Entropy estimates from insufficient samplings (2003), arXiv:physics/0307138
2003
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Renormalization algorithms for quantum-many body systems in two and higher dimensions (2004), arXiv:cond-mat/0407066
2004
Earlier work this paper cites.
Y. Nishio, N. Maeshima, A. Gendiar, and T. Nishino, Tensor product variational formulation for quantum systems (2004), arXiv:cond-mat/0401115
2004
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement entropy and quantum field theory, Journal of statistical mechanics: theory and experiment 2004
2004
Earlier work this paper cites.
P. Calabrese and J. Cardy, Evolution of entanglement entropy in one-dimensional systems, Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Earlier work this paper cites.
P. Calabrese and J. Cardy, Time Dependence of Correlation Functions Following a Quantum Quench, Physical Review Letters 96
2006
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, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
Y.-Y. Shi, L.-M. Duan, and G. Vidal, Classical simulation of quantum many-body systems with a tree tensor network, Phys. Rev. A 74
2006
Earlier work this paper cites.
S. Kumar and P. Majumdar, A travelling cluster approximation for lattice fermions strongly coupled to classical degrees of freedom, The European Physical Journal B 50
2006
Earlier work this paper cites.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Computational complexity of projected entangled pair states, 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.
G. Vidal, Entanglement renormalization, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
L. Cincio, J. Dziarmaga, M. M. Rams, and W. H. Zurek, Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model, Physical Review A 75
2007
Earlier work this paper cites.
A. Das and B. K. Chakrabarti, Colloquium: Quantum annealing and analog quantum computation, Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
F. Verstraete, V. Murg, and J. Cirac, Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems, Adv. Phys. 57
2008
Earlier work this paper cites.
M. Rizzi, S. Montangero, and G. Vidal, Simulation of time evolution with multiscale entanglement renormalization ansatz, Phys. Rev. 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.
H. C. Jiang, Z. Y. Weng, and T. Xiang, Accurate determination of tensor network state of quantum lattice models in two dimensions, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Entanglement in many-body systems, Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
G. Alvarez, The density matrix renormalization group for strongly correlated electron systems: A generic implementation, Computer Physics Communications 180
2009
Earlier work this paper cites.
J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy, Reviews of Modern Physics 82
2010
Earlier work this paper cites.
R. Harris, J. Johansson, A. J. Berkley, M. W. Johnson, T. Lanting, S. Han, P. Bunyk, E. Ladizinsky, T. Oh, I. Perminov, E. Tolkacheva, S. Uchaikin, E. M. Chapple, C. Enderud, C. Rich, M. Thom, J. Wang, B. Wilson, and G. Rose, Experimental demonstration of a robust and scalable flux qubit, Physical Review B 81
2010
Earlier work this paper cites.
V. Murg, F. Verstraete, Ö. Legeza, and R. M. Noack, Simulating strongly correlated quantum systems with tree tensor networks, Phys. Rev. B 82
2010
Earlier work this paper cites.
J. Dziarmaga, Dynamics of a quantum phase transition and relaxation to a steady state, Adv. Phys. 59
2010
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, 2011)
2011
Earlier work this paper cites.
A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Reviews of Modern Physics 83
2011
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.
J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Time-dependent variational principle for quantum lattices, Physical Review Letters 107
2011
Earlier work this paper cites.
J. Preskill, Quantum computing and the entanglement frontier (2012), arXiv:1203.5813
2012
Earlier work this paper cites.
E. Stoudenmire and S. R. White, Studying Two-Dimensional Systems with the Density Matrix Renormalization Group, Annual Review of Condensed Matter Physics 3
2012
Earlier work this paper cites.
G. Carleo, F. Becca, M. Schiró, and M. Fabrizio, Localization and glassy dynamics of many-body quantum systems, Scientific reports 2
2012
Earlier work this paper cites.
A. Gelman, J. Carlin, H. Stern, D. Dunson, A. Vehtari, and D. Rubin, Bayesian Data Analysis (Chapman and Hall/CRC, 2013)
2013
Earlier work this paper cites.
S. Boixo, T. Albash, F. M. Spedalieri, N. Chancellor, and D. A. Lidar, Experimental signature of programmable quantum annealing, Nature Communications 4
2013
Earlier work this paper cites.
E. Canovi, E. Ercolessi, P. Naldesi, L. Taddia, and D. Vodola, Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition, Physical Review B 89
2014
Earlier work this paper cites.
A. del Campo and W. H. Zurek, Universality of phase transition dynamics: Topological defects from symmetry breaking, International Journal of Modern Physics A 29
2014
Cited alongside, same era.
R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics 349
2014
Cited alongside, same era.
M. Lubasch, J. I. Cirac, and M.-C. Bañuls, Algorithms for finite projected entangled pair states, Phys. Rev. B 90
2014
Cited alongside, same era.
T. F. Rønnow, Z. Wang, J. Job, S. Boixo, S. V. Isakov, D. Wecker, J. M. Martinis, D. A. Lidar, and M. Troyer, Defining and detecting quantum speedup, Science 345
2014
Cited alongside, same era.
J. A. Smolin and G. Smith, Classical signature of quantum annealing, Frontiers in Physics 2
2014
Cited alongside, same era.
J. Dziarmaga, Time evolution of an infinite projected entangled pair state: Neighborhood tensor update, Phys. Rev. B 104
2021
Later among the works it cites.
T. Vieijra, J. Haegeman, F. Verstraete, and L. Vanderstraeten, Direct sampling of projected entangled-pair states, Phys. Rev. B 104
2021
Later among the works it cites.
R. Alkabetz and I. Arad, Tensor networks contraction and the belief propagation algorithm, Phys. Rev. Res. 3
2021
Later among the works it cites.
2021
Later among the works it cites.
J. Carrasquilla, D. Luo, F. Pérez, A. Milsted, B. K. Clark, M. Volkovs, and L. Aolita, Probabilistic simulation of quantum circuits using a deep-learning architecture, Phys. Rev. A 104
2021
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2014
Cited alongside, same era.
C.-W. Liu, A. Polkovnikov, A. W. Sandvik, and A. P. Young, Universal dynamic scaling in three-dimensional Ising spin glasses, Physical Review E 92
2015
Cited alongside, same era.
D. Venturelli, S. Mandrà, S. Knysh, B. O’Gorman, R. Biswas, and V. Smelyanskiy, Quantum Optimization of Fully Connected Spin Glasses, Physical Review X 5
2015
Cited alongside, same era.
J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken, and F. Verstraete, Unifying time evolution and optimization with matrix product states, Phys. Rev. B 94
2016
Cited alongside, same era.
Y. Ge and J. Eisert, Area laws and efficient descriptions of quantum many-body states, New Journal of Physics 18
2016
Cited alongside, same era.
A. P. Lund, M. J. Bremner, and T. C. Ralph, Quantum sampling problems, bosonsampling and quantum supremacy, NPJ Quantum Information 3
2017
Cited alongside, same era.
G. Carleo and M. Troyer, Solving the quantum many-body problem with artificial neural networks, Science 355
2017
Cited alongside, same era.
Later among the works it cites.
S. Barison, F. Vicentini, and G. Carleo, An efficient quantum algorithm for the time evolution of parameterized circuits, Quantum 5
2021
Later among the works it cites.
T. Albash and J. Marshall, Comparing Relaxation Mechanisms in Quantum and Classical Transverse-Field Annealing, Physical Review Applied 15
2021
Later among the works it cites.
L. S. Madsen, F. Laudenbach, M. F. Askarani, F. Rortais, T. Vincent, et al. , Quantum computational advantage with a programmable photonic processor, Nature 606
2022
Later among the works it cites.
S. Ebadi, A. Keesling, M. Cain, T. T. Wang, H. Levine, D. Bluvstein, G. Semeghini, A. Omran, J.-G. Liu, R. Samajdar, X.-Z. Luo, B. Nash, X. Gao, B. Barak, E. Farhi, S. Sachdev, N. Gemelke, L. Zhou, S. Choi, H. Pichler, S.-T. Wang, M. Greiner, V. Vuletić, and M. D. Lukin, Quantum optimization of maximum independent set using Rydberg atom arrays, Science 376
2022
Later among the works it cites.
A. D. King, S. Suzuki, J. Raymond, A. Zucca, T. Lanting, et al. , Coherent quantum annealing in a programmable 2,000 qubit Ising chain, Nature Physics 18
2022
Later among the works it cites.
M. Schmitt, M. M. Rams, J. Dziarmaga, M. Heyl, and W. H. Zurek, Quantum phase transition dynamics in the two-dimensional transverse-field Ising model, Science Advances 8
2022
Later among the works it cites.
M. Fishman, S. White, and E. Stoudenmire, The ITensor Software Library for Tensor Network Calculations, SciPost Physics Codebases 4
2022
Later among the works it cites.
W.-Y. Liu, J. Hasik, S.-S. Gong, D. Poilblanc, W.-Q. Chen, and Z.-C. Gu, Emergence of gapless quantum spin liquid from deconfined quantum critical point, Phys. Rev. X 12
2022
Later among the works it cites.
F. Pan, K. Chen, and P. Zhang, Solving the sampling problem of the sycamore quantum circuits, Phys. Rev. Lett. 129
2022
Later among the works it cites.
T. Schmale, M. Reh, and M. Gärttner, Efficient quantum state tomography with convolutional neural networks, npj Quantum Information 8
2022
Later among the works it cites.
2022
Later among the works it cites.
I. L. Gutiérrez and C. B. Mendl, Real time evolution with neural-network quantum states, Quantum 6
2022
Later among the works it cites.
F. Vicentini, D. Hofmann, A. Szabó, D. Wu, C. Roth, C. Giuliani, G. Pescia, J. Nys, V. Vargas-Calderón, N. Astrakhantsev, and G. Carleo, NetKet 3: Machine Learning Toolbox for Many-Body Quantum Systems, SciPost Phys. Codebases , 7 (2022)
2022
Later among the works it cites.
Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. van den Berg, et al. , Evidence for the utility of quantum computing before fault tolerance, Nature 618
2023
Later among the works it cites.
A. Zlokapa, B. Villalonga, S. Boixo, and D. A. Lidar, Boundaries of quantum supremacy via random circuit sampling, NPJ Quantum Information 9
2023
Later among the works it cites.
D. Aharonov, X. Gao, Z. Landau, Y. Liu, and U. Vazirani, A polynomial-time classical algorithm for noisy random circuit sampling, in Proceedings of the 55th Annual ACM Symposium on Theory of Computing (ACM, 2023) pp. 945–957
2023
Later among the works it cites.
C. Oh, L. Jiang, and B. Fefferman, Spoofing Cross-Entropy Measure in Boson Sampling, Physical Review Letters 131
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
A. D. King, J. Raymond, T. Lanting, R. Harris, A. Zucca, et al. , Quantum critical dynamics in a 5,000-qubit programmable spin glass, Nature 617
2023
Later among the works it cites.
K. Donatella, Z. Denis, A. Le Boité, and C. Ciuti, Dynamics with autoregressive neural quantum states: Application to critical quench dynamics, Physical Review A 108
2023
Later among the works it cites.
K. Chern, K. Boothby, J. Raymond, P. Farré, and A. D. King, Tutorial: calibration refinement in quantum annealing, Frontiers in Computer Science 5
2023
Later among the works it cites.
M. Ganahl, J. Beall, M. Hauru, A. G. Lewis, T. Wojno, J. H. Yoo, Y. Zou, and G. Vidal, Density matrix renormalization group with tensor processing units, PRX Quantum 4
2023
Later among the works it cites.
J. Unfried, J. Hauschild, and F. Pollmann, Fast time evolution of matrix product states using the qr decomposition, Phys. Rev. B 107
2023
Later among the works it cites.
T. N. Ikeda, A. Abrar, I. L. Chuang, and S. Sugiura, Minimum Trotterization Formulas for a Time-Dependent Hamiltonian, Quantum 7
2023
Later among the works it cites.
J. Dziarmaga and J. M. Mazur, Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to the superfluid phase in the two-dimensional Bose-Hubbard model, Physical Review B 107
2023
Later among the works it cites.
M. Hibat-Allah, R. G. Melko, and J. Carrasquilla, Investigating topological order using recurrent neural networks, Phys. Rev. B 108
2023
Later among the works it cites.
A. Sinibaldi, C. Giuliani, G. Carleo, and F. Vicentini, Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution, Quantum 7
2023
Later among the works it cites.
A. L. Shaw, Z. Chen, J. Choi, D. K. Mark, P. Scholl, R. Finkelstein, A. Elben, S. Choi, and M. Endres, Benchmarking highly entangled states on a 60-atom analogue quantum simulator, Nature 628
2024
Closest in time.
A. Morvan, B. Villalonga, X. Mi, S. Mandrà, A. Bengtsson, et al. , Phase transitions in random circuit sampling, Nature 634
2024
Closest in time.
K. Kechedzhi, S. Isakov, S. Mandrà, B. Villalonga, X. Mi, S. Boixo, and V. Smelyanskiy, Effective quantum volume, fidelity and computational cost of noisy quantum processing experiments, Future Generation Computer Systems 153
2024
Closest in time.
J. Tindall, M. Fishman, E. M. Stoudenmire, and D. Sels, Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment, PRX Quantum 5
2024
Closest in time.
T. Begušić, J. Gray, and G. K.-L. Chan, Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance, Science Advances 10
2024
Closest in time.
M. Bernaschi, I. González-Adalid Pemartín, V. Martín-Mayor, and G. Parisi, The quantum transition of the two-dimensional Ising spin glass, Nature , 1 (2024)
2024
Closest in time.
J.-W. Li, A. Gleis, and J. von Delft, Time-Dependent Variational Principle with Controlled Bond Expansion for Matrix Product States, Physical Review Letters 133
2024
Closest in time.
S. Patra, S. S. Jahromi, S. Singh, and R. Orús, Efficient tensor network simulation of IBM’s largest quantum processors, Physical Review Research 6
2024
Closest in time.
2024
Closest in time.
B. Dozier and J. Sapir, Simple versus nonsimple loops on random regular graphs, Journal of Graph Theory 105
2024
Closest in time.
H. Lange, F. Döschl, J. Carrasquilla, and A. Bohrdt, Neural network approach to quasiparticle dispersions in doped antiferromagnets, Communications Physics 7
2024
Closest in time.
K. Sprague and S. Czischek, Variational Monte Carlo with large patched transformers, Communications Physics 7
2024
Closest in time.
R. Rende, L. L. Viteritti, L. Bardone, F. Becca, and S. Goldt, A simple linear algebra identity to optimize large-scale neural network quantum states, Communications Physics 7
2024
Closest in time.
D. Wu, R. Rossi, F. Vicentini, N. Astrakhantsev, F. Becca, X. Cao, J. Carrasquilla, F. Ferrari, A. Georges, M. Hibat-Allah, et al. , Variational benchmarks for quantum many-body problems, Science 386
2024
Closest in time.
M. Bortone, Y. Rath, and G. H. Booth, Impact of conditional modelling for a universal autoregressive quantum state, Quantum 8
2024
Closest in time.
M. Rams, G. Wójtowicz, A. Sinha, and J. Hasik, YASTN: Yet another symmetric tensor networks; A Python library for Abelian symmetric tensor network calculations, SciPost Physics Codebases , 52 (2025)
2025
Closest in time.