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We study real-time operator evolution using sparse Pauli dynamics, a recently developed method for simulating expectation values of quantum circuits.
E. Barouch and B. M. McCoy, Statistical Mechanics of the XY Model. II. Spin-Correlation Functions, Phys. Rev. A 3
1971
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, The finite group velocity of quantum spin systems, Communications in Mathematical Physics 28
1972
Earlier work this paper cites.
H. W. J. Blöte and Y. Deng, Cluster Monte Carlo simulation of the transverse Ising model, Phys. Rev. E 66
2002
Earlier work this paper cites.
F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
M. Zwolak and G. Vidal, Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
A. E. Feiguin and S. R. White, Time-step targeting methods for real-time dynamics using the density matrix renormalization group, Phys. Rev. B 72
2005
Earlier work this paper cites.
I. Kuprov, N. Wagner-Rundell, and P. Hore, Polynomially scaling spin dynamics simulation algorithm based on adaptive state-space restriction, J. Magn. Reson. 189
2007
Earlier work this paper cites.
I. Kuprov, Polynomially scaling spin dynamics II: Further state-space compression using Krylov subspace techniques and zero track elimination, J. Magn. Reson. 195
2008
Earlier work this paper cites.
A. Karabanov, I. Kuprov, G. T. P. Charnock, A. van der Drift, L. J. Edwards, and W. Köckenberger, On the accuracy of the state space restriction approximation for spin dynamics simulations, J. Chem. Phys. 135
2011
Earlier work this paper cites.
H. Hogben, M. Krzystyniak, G. Charnock, P. Hore, and I. Kuprov, Spinach – A software library for simulation of spin dynamics in large spin systems, J. Magn. Reson. 208
2011
Earlier work this paper cites.
H. Kim and D. A. Huse, Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System, Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
R. Steinigeweg, F. Heidrich-Meisner, J. Gemmer, K. Michielsen, and H. De Raedt, Scaling of diffusion constants in the spin- 1 2 \frac{1}{2} XX ladder, Phys. Rev. B 90
2014
Earlier work this paper cites.
C. Karrasch, D. M. Kennes, and F. Heidrich-Meisner, Spin and thermal conductivity of quantum spin chains and ladders, Phys. Rev. B 91
2015
Earlier work this paper cites.
2016
Earlier work this paper cites.
E. Ronca, Z. Li, C. A. Jimenez-Hoyos, and G. K. L. Chan, Time-Step Targeting Time-Dependent and Dynamical Density Matrix Renormalization Group Algorithms with ab Initio Hamiltonians, J. Chem. Theory Comput. 13
2017
Earlier work this paper cites.
A. Nahum, S. Vijay, and J. Haah, Operator Spreading in Random Unitary Circuits, Phys. Rev. X 8
2018
Earlier work this paper cites.
C. W. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws, Phys. Rev. X 8
2018
Earlier work this paper cites.
V. Khemani, A. Vishwanath, and D. A. Huse, Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws, Phys. Rev. X 8
2018
Earlier work this paper cites.
B. Kloss, Y. B. Lev, and D. Reichman, Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential, Phys. Rev. B 97
2018
Cited alongside, same era.
T. Rakovszky, F. Pollmann, and C. W. von Keyserlingk, Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation, Phys. Rev. X 8
2018
Cited alongside, same era.
P. Rall, D. Liang, J. Cook, and W. Kretschmer, Simulation of qubit quantum circuits via pauli propagation, Phys. Rev. A 99
2019
Cited alongside, same era.
P. Czarnik, J. Dziarmaga, and P. Corboz, Time evolution of an infinite projected entangled pair state: An efficient algorithm, Phys. Rev. B 99
2019
Cited alongside, same era.
M. Schmitt and M. Heyl, Quantum Many-Body Dynamics in Two Dimensions with Artificial Neural Networks, Phys. Rev. Lett. 125
2020
Cited alongside, same era.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. Van Den Berg, S. Rosenblatt, H. Nayfeh, Y. Wu, M. Zaletel, K. Temme, and A. Kandala, Evidence for the utility of quantum computing before fault tolerance, Nature 618
2023
Later among the works it cites.
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J. Gray and S. Kourtis, Hyper-optimized tensor network contraction, Quantum 5
2021
Cited alongside, same era.
C. Huang, F. Zhang, M. Newman, X. Ni, D. Ding, J. Cai, X. Gao, T. Wang, F. Wu, G. Zhang, et al. , Efficient parallelization of tensor network contraction for simulating quantum computation, Nature Computational Science 1
2021
Cited alongside, same era.
Á. M. Alhambra and J. I. Cirac, Locally Accurate Tensor Networks for Thermal States and Time Evolution, PRX Quantum 2
2021
Cited alongside, same era.
B. Bertini, F. Heidrich-Meisner, C. Karrasch, T. Prosen, R. Steinigeweg, and M. Žnidarič, Finite-temperature transport in one-dimensional quantum lattice models, Rev. Mod. Phys. 93
2021
Cited alongside, same era.
J. Dziarmaga, Time evolution of an infinite projected entangled pair state: Neighborhood tensor update, Phys. Rev. B 104
2021
Cited alongside, same era.
T. Rakovszky, C. von Keyserlingk, and F. Pollmann, Dissipation-assisted operator evolution method for capturing hydrodynamic transport, Phys. Rev. B 105
2022
Cited alongside, same era.
C. von Keyserlingk, F. Pollmann, and T. Rakovszky, Operator backflow and the classical simulation of quantum transport, Phys. Rev. B 105
2022
Cited alongside, same era.
H. Zhai, H. R. Larsson, S. Lee, Z.-H. Cui, T. Zhu, C. Sun, L. Peng, R. Peng, K. Liao, J. Tölle, J. Yang, S. Li, and G. K.-L. Chan, Block2
2023
Later among the works it cites.
J. Gray and G. K.-L. Chan, Hyperoptimized Approximate Contraction of Tensor Networks with Arbitrary Geometry, Phys. Rev. X 14
2024
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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, Sci. Adv. 10
2024
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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 Gener. Comput. Syst. 153
2024
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J. Tindall, M. Fishman, E. M. Stoudenmire, and D. Sels, Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment, PRX Quantum 5
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S. Patra, S. S. Jahromi, S. Singh, and R. Orús, Efficient tensor network simulation of IBM’s largest quantum processors, Phys. Rev. Res. 6
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S. Yi-Thomas, B. Ware, J. D. Sau, and C. D. White, Comparing numerical methods for hydrodynamics in a one-dimensional lattice spin model, Phys. Rev. B 110
2024
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C. Artiaco, C. Fleckenstein, D. Aceituno Chávez, T. K. Kvorning, and J. H. Bardarson, Efficient large-scale many-body quantum dynamics via local-information time evolution, PRX Quantum 5
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J. Wang, M. H. Lamann, R. Steinigeweg, and J. Gemmer, Diffusion constants from the recursion method, Phys. Rev. B 110
2024
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T. Begušić and G. Chan, Data for ”real-time operator evolution in two and three dimensions via sparse pauli dynamics”, 10.5281/zenodo.14502420 (2024)
2024
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