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During time evolution of many-body systems entanglement grows rapidly, limiting exact simulations to small-scale systems or small timescales.
J. von Neumann, Mathematische grundlagen der quantenmechanik (Springer, Berlin, Heidelberg, 1932)
1932
Earlier work this paper cites.
E. Fehlberg, Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems (National aeronautics and space administration, 1969)
1969
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, The finite group velocity of quantum spin systems, Commun. Math. Phys. 28
1972
Earlier work this paper cites.
D. Petz, Sufficient subalgebras and the relative entropy of states of a von Neumann algebra, Comm. Math. Phys. 105
1986
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.
R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. Van der Vorst, Templates for the solution of linear systems: building blocks for iterative methods (Society for industrial and applied mathematics, Philadelphia, Pennsylvania, US, 1994)
1994
Earlier work this paper cites.
S. Rommer and S. Östlund, Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group, Phys. Rev. B 55
1997
Earlier work this paper cites.
L. Dagum and R. Menon, Openmp: an industry standard api for shared-memory programming, IEEE Computational Science and Engineering 5
1998
Earlier work this paper cites.
2001
Earlier work this paper cites.
H.-P. Breuer and F. Petruccione, The theory of open quantum systems (Oxford University Press, 2002)
2002
Earlier work this paper cites.
G. Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
A. Ben-Israel and T. N. Greville, Generalized inverses: theory and applications , Vol. 15 (Springer Science & Business Media, 2003)
2003
Earlier work this paper cites.
G. Vidal, Efficient simulation of one-dimensional quantum many-body systems, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
S. R. White and A. E. Feiguin, Real-time evolution using the density matrix renormalization group, Phys. Rev. Lett. 93
2004
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.
E. Gabriel, G. E. Fagg, G. Bosilca, T. Angskun, J. J. Dongarra, J. M. Squyres, V. Sahay, P. Kambadur, B. Barrett, A. Lumsdaine, R. H. Castain, D. J. Daniel, R. L. Graham, and T. S. Woodall, Open MPI: Goals, concept, and design of a next generation MPI implementation, in Recent Advances in Parallel Virtual Machine and Message Passing Interface , edited by D. Kranzlmüller, P. Kacsuk, and J. Dongarra (Springer, Berlin, Heidelberg, 2004)
2004
Earlier work this paper cites.
P. Calabrese and J. Cardy, Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech. 2005
2005
Earlier work this paper cites.
A. E. Feiguin and S. R. White, Finite-temperature density matrix renormalization using an enlarged Hilbert space, Phys. Rev. B 72
2005
Earlier work this paper cites.
F. Benatti and R. Floreanini, Open quantum dynamics: complete positivity and entanglement, Int. J. Mod. Phys. B 19
2005
Earlier work this paper cites.
N. Schuch, M. M. Wolf, K. G. H. Vollbrecht, and J. I. Cirac, On entropy growth and the hardness of simulating time evolution, New J. Phys. 10
2008
Earlier work this paper cites.
A. M. Läuchli and C. Kollath, Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model, J. Stat. Mech. 2008
2008
Earlier work this paper cites.
M. Žnidarič, T. Prosen, and I. Pižorn, Complexity of thermal states in quantum spin chains, Phys. Rev. A 78
2008
Cited alongside, same era.
T. Barthel, U. Schollwock, and S. R. White, Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group, Phys. Rev. B 79
2009
Cited alongside, same era.
M. Cramer, M. B. Plenio, S. T. Flammia, R. Somma, D. Gross, S. D. Bartlett, O. Landon-Cardinal, D. Poulin, and Y.-K. Liu, Efficient quantum state tomography, Nat. Commun. 1
2010
Cited alongside, same era.
M. Žnidarič, Exact solution for a diffusive nonequilibrium steady state of an open quantum chain, J. Stat. Mech. 2010
2010
Cited alongside, same era.
J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Time-dependent variational principle for quantum lattices, Phys. Rev. Lett. 107
J. Hauschild, E. Leviatan, J. H. Bardarson, E. Altman, M. P. Zaletel, and F. Pollmann, Finding purifications with minimal entanglement, Phys. Rev. B 98
2018
Later among the works it 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
Later among the works it cites.
C. D. White, M. Zaletel, R. S. K. Mong, and G. Refael, Quantum dynamics of thermalizing systems, Phys. Rev. B 97
2018
Later among the works it cites.
J. Wurtz, A. Polkovnikov, and D. Sels, Cluster truncated wigner approximation in strongly interacting systems, Annals of Physics 395
2018
Later among the works it cites.
A. Chan, A. De Luca, and J. T. Chalker, Solution of a minimal model for many-body quantum chaos, Phys. Rev. X 8
2018
Later among the works it cites.
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2011
Cited alongside, same era.
C. Karrasch, J. H. Bardarson, and J. E. Moore, Finite-temperature dynamical density matrix renormalization group and the Drude weight of spin-1/2 chains, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
A. Rivas and S. F. Huelga, Open quantum systems , Vol. 10 (Springer, 2012)
2012
Cited alongside, same era.
T. Feagin, High-order explicit Runge-Kutta methods using m-symmetry, Neural, Parallel & Scientific Computations 20
2012
Cited alongside, same era.
T. Baumgratz, D. Gross, M. Cramer, and M. B. Plenio, Scalable reconstruction of density matrices, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
C. Karrasch, J. H. Bardarson, and J. E. Moore, Reducing the numerical effort of finite-temperature density matrix renormalization group calculations, New J. Phys. 15
2013
Cited alongside, same era.
H. Kim and D. A. Huse, Ballistic spreading of entanglement in a diffusive nonintegrable system, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
M. Žnidarič and M. Horvat, Transport in a disordered tight-binding chain with dephasing, Eur. Phys. J. B 86
2013
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, Ann. Phys. 411
2019
Later among the works it cites.
J. Richter and R. Steinigeweg, Combining dynamical quantum typicality and numerical linked cluster expansions, Phys. Rev. B 99
2019
Later among the works it cites.
J. Surace, M. Piani, and L. Tagliacozzo, Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture, Phys. Rev. B 99
2019
Later among the works it cites.
L. Pastori, M. Heyl, and J. C. Budich, Disentangling sources of quantum entanglement in quench dynamics, Phys. Rev. Res. 1
2019
Later among the works it cites.
M. Schmitt and M. Heyl, Quantum many-body dynamics in two dimensions with artificial neural networks, Phys. Rev. Lett. 125
2020
Later among the works it cites.
I. Lopéz Gutiérrez and C. B. Mendl, Real time evolution with neural-network quantum states, Quantum 6
2020
Later among the works it cites.
M. M. Rams and M. Zwolak, Breaking the entanglement barrier: Tensor network simulation of quantum transport, Phys. Rev. Lett. 124
2020
Later among the works it cites.
X. Turkeshi and M. Schiró, Diffusion and thermalization in a boundary-driven dephasing model, Phys. Rev. B 104
2021
Later among the works it cites.
T. Klein Kvorning, L. Herviou, and J. H. Bardarson, Time-evolution of local information: thermalization dynamics of local observables, SciPost Phys. 13
2022
Later among the works it cites.
T. Rakovszky, C. W. von Keyserlingk, and F. Pollmann, Dissipation-assisted operator evolution method for capturing hydrodynamic transport, Phys. Rev. B 105
2022
Later among the works it cites.
T. Jin, J. a. S. Ferreira, M. Filippone, and T. Giamarchi, Exact description of quantum stochastic models as quantum resistors, Phys. Rev. Res. 4
2022
Later among the works it cites.
D. Wei, A. Rubio-Abadal, B. Ye, F. Machado, J. Kemp, K. Srakaew, S. Hollerith, J. Rui, S. Gopalakrishnan, N. Y. Yao, et al. , Quantum gas microscopy of kardar-parisi-zhang superdiffusion, Science 376
2022
Later among the works it cites.
C. Artiaco, F. Balducci, M. Heyl, A. Russomanno, and A. Scardicchio, Spatiotemporal heterogeneity of entanglement in many-body localized systems, Phys. Rev. B 105
2022
Later among the works it cites.
C. Mc Keever and M. Lubasch, Classically optimized hamiltonian simulation, Phys. Rev. Res. 5
2023
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