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We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys.
R. Grobe, F. Haake, and H.-J. Sommers, Quantum distinction of regular and chaotic dissipative motion
1902
Earlier work this paper cites.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
A. Dymarsky and A. Gorsky, Quantum chaos as delocalization in Krylov space
1912
Earlier work this paper cites.
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
1950
Earlier work this paper cites.
W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem
1951
Earlier work this paper cites.
A. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators
1972
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices
1975
Earlier work this paper cites.
G. Lindblad, On the generators of quantum dynamical semigroups
1976
Earlier work this paper cites.
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of n‐level systems
1976
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum heisenberg magnet
1993
Earlier work this paper cites.
Lecture Notes in Physics Monographs. Springer Berlin Heidelberg, 1994
V. Viswanath and G. Müller, The Recursion Method: Application to Many Body Dynamics · 1994
Earlier work this paper cites.
D. Knuth, The online encyclopedia of integer sequences: A101280
2005
Earlier work this paper cites.
L. Susskind and Y. Zhao, Complexity and Momentum
2006
Earlier work this paper cites.
Oxford University Press, Oxford, 2007
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems · 2007
Earlier work this paper cites.
Z. Xu, A. Chenu, T. Prosen, and A. del Campo, Thermofield dynamics: Quantum Chaos versus Decoherence
2008
Earlier work this paper cites.
2008
Cited alongside, same era.
2009
Cited alongside, same era.
A. M. García-García and V. Godet, Euclidean wormhole in the Sachdev-Ye-Kitaev model
2010
Cited alongside, same era.
2011
Cited alongside, same era.
P. Zanardi and N. Anand, Information scrambling and chaos in open quantum systems
A. Dymarsky and M. Smolkin, Krylov complexity in conformal field theory
2021
Later among the works it cites.
2022
Closest in time.
2022
Closest in time.
P. Caputa, J. M. Magan, and D. Patramanis, Geometry of Krylov complexity
2022
Closest in time.
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2012
Cited alongside, same era.
X. Cao, A statistical mechanism for operator growth
2012
Cited alongside, same era.
Talk given at KITP
A. Kitaev, “A simple model of quantum holography (part 1) and (part 2).” https://online.kitp.ucsb.edu/online/joint98/kitaev/ , https://online.kitp.ucsb.edu/online/entangled15/kitaev2/ , 2015 · 2015
Cited alongside, same era.
J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model
2016
Cited alongside, same era.
2016
Cited alongside, same era.
J. Maldacena, S. H. Shenker, and D. Stanford, A bound on chaos
2016
Cited alongside, same era.
2018
Cited alongside, same era.
2018
Cited alongside, same era.
2022
Closest in time.
B. Bhattacharjee, X. Cao, P. Nandy, and T. Pathak, Krylov complexity in saddle-dominated scrambling
2022
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2022
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2022
Closest in time.
P. Caputa and S. Datta, Operator growth in 2d CFT
2022
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2022
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2022
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2022
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A. Kulkarni, T. Numasawa, and S. Ryu, Lindbladian dynamics of the Sachdev-Ye-Kitaev model
2022
Closest in time.
L. Sá, P. Ribeiro, and T. Prosen, Lindbladian dissipation of strongly-correlated quantum matter
2022
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2022
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