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We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries.
1905
Earlier work this paper cites.
1906
Earlier work this paper cites.
1908
Earlier work this paper cites.
H. W. Lin and L. Susskind, “Complexity Geometry and Schwarzian Dynamics,” JHEP 01
1911
Earlier work this paper cites.
A. Dymarsky and A. Gorsky, “Quantum chaos as delocalization in Krylov space,” Phys. Rev. B 102
1912
Earlier work this paper cites.
The Recursion Method: Application to Many-Body Dynamics, vol. 23 Science Business Media V. Viswanath, G. Müller C. Lanczos, “An iteration method for the solution of the eigenvalue problem of linear differential and integral operators,” J. Res. Natl. Bur. Stand. B 45
1950
Earlier work this paper cites.
J. R. Klauder, “The Action option and a Feynman quantization of spinor fields in terms of ordinary C numbers,” Annals Phys. 11
1960
Earlier work this paper cites.
E. U. Lorenz, Predictability: Does the Flap of a Butterfly’s Wings in Brazil Set off a Tornado in Texas? American Association for the Advancement of Science, 1979 Lorenz, Edward N. (March 1963). ”Deterministic Nonperiodic Flow”. Journal of the Atmospheric Sciences. 20 (2): 130–141
1963
Earlier work this paper cites.
J. R. Klauder and E. C. G. Sudarshan, Fundamentals of quantum optics, (Benjamin, New York) 1968
1968
Earlier work this paper cites.
A. I. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” JETP 28
1969
Earlier work this paper cites.
A. M. Perelomov, Commun. Math. Phys. 26
1972
Earlier work this paper cites.
E. Witten, “Coadjoint Orbits of the Virasoro Group,” Commun. Math. Phys. 114
1988
Earlier work this paper cites.
M. Berry, ”Quantum chaology, not quantum chaos”, Physica Scripta 40, 3, 335-336, 1989
1989
Earlier work this paper cites.
Zhang, Wei-Min and Feng, Da Hsuan and Gilmore, Robert Coherent states: Theory and some applications, Rev. Mod. Phys. 62, 4, 867–927, 1990
1990
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg ferromagnet
1993
Earlier work this paper cites.
Fradkin, E. S. and Palchik, M. Ya., Conformal quantum field theory in D-dimensions
1996
Earlier work this paper cites.
P. Di Francesco, P. Mathieu, D. Senechal (1997) ”Conformal field theory”
1997
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
2001
Earlier work this paper cites.
J. M. Magán and J. Simon, “On operator growth and emergent Poincaré symmetries,” JHEP 05
2002
Earlier work this paper cites.
G. Vidal and R. F. Werner, “Computable measure of entanglement,” Phys. Rev. A 65
2002
Earlier work this paper cites.
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. A. Nielsen, M. R. Dowling, M. Gu and A. C. Doherty Quantum computation as geometry
2006
Earlier work this paper cites.
2009
Earlier work this paper cites.
J.P. Gazeau, ”Coherent States in Quantum Physics”, 2009, Wiley
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
2010
Earlier work this paper cites.
J. .L. F. Barbon and J. M. Magan, Chaotic Fast Scrambling At Black Holes
2011
Earlier work this paper cites.
J. .L. F. Barbon and J. M. Magan, Fast Scramblers Of Small Size
2011
Earlier work this paper cites.
J. .L. F. Barbon and J. M. Magan, Fast Scramblers, Horizons and Expander Graphs
2012
Earlier work this paper cites.
Agarwal, Girish S., Quantum Optics, 2012, Cambridge University Press
2012
Cited alongside, same era.
N. Lashkari, D. Stanford, M. Hastings, T. Osborne and P. Hayden, “Towards the Fast Scrambling Conjecture,” JHEP 04
2013
Cited alongside, same era.
J. .L. F. Barbon and J. M. Magan, Fast Scramblers And Ultrametric Black Hole Horizons
2013
Cited alongside, same era.
T. Hartman and J. Maldacena, “Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 05
2013
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 03
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Multiple Shocks,” JHEP 12
J. Magan, Black holes, Complexity and quantum chaos
2018
Later among the works it cites.
2018
Later among the works it cites.
J. M. Magan, “Decoherence and microscopic diffusion at the Sachdev-Ye-Kitaev model,” Phys. Rev. D 98
2018
Later among the works it cites.
2019
Later among the works it cites.
D. E. Parker, X. Cao, A. Avdoshkin, T. Scaffidi and E. Altman, “A Universal Operator Growth Hypothesis,” Phys. Rev. X 9
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2014
Cited alongside, same era.
D. Stanford and L. Susskind, Complexity and Shock Wave Geometries
2014
Cited alongside, same era.
J. Cardy, “Thermalization and Revivals after a Quantum Quench in Conformal Field Theory,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
A. Kitaev, A simple model of quantum holography
2015
Cited alongside, same era.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi and K. Watanabe, “Distance between Quantum States and Gauge-Gravity Duality,” Phys. Rev. Lett. 115
2015
Cited alongside, same era.
J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP 08
2016
Cited alongside, same era.
2016
Cited alongside, same era.
2019
Later among the works it cites.
J. L. F. Barbón, E. Rabinovici, R. Shir and R. Sinha, “On The Evolution Of Operator Complexity Beyond Scrambling,” JHEP 10
2019
Later among the works it cites.
H. W. Lin, J. Maldacena and Y. Zhao, “Symmetries Near the Horizon,” JHEP 08
2019
Later among the works it cites.
P. Caputa and J. M. Magan, “Quantum Computation as Gravity,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
D. Ge and G. Policastro, “Circuit Complexity and 2D Bosonisation,” JHEP 10
2019
Later among the works it cites.
A. Belin, A. Lewkowycz and G. Sárosi, “Complexity and the bulk volume, a new York time story,” JHEP 03
2019
Later among the works it cites.
J. De Boer, J. Järvelä and E. Keski-Vakkuri, “Aspects of capacity of entanglement,” Phys. Rev. D 99
2019
Later among the works it cites.
R. Q. Yang, Y. S. An, C. Niu, C. Y. Zhang and K. Y. Kim, “Principles and symmetries of complexity in quantum field theory,” Eur. Phys. J. C 79
2019
Later among the works it cites.
J. Kudler-Flam, M. Nozaki, S. Ryu and M. T. Tan, “Quantum vs. classical information: operator negativity as a probe of scrambling,” JHEP 01
2020
Later among the works it cites.
F. M. Haehl and Y. Zhao, “Size and momentum of an infalling particle in the black hole interior,” JHEP 21
2020
Later among the works it cites.
J. De Boer and L. Lamprou, “Holographic Order from Modular Chaos,” JHEP 06
2020
Later among the works it cites.
M. Flory and M. P. Heller, “Conformal field theory complexity from Euler-Arnold equations,” JHEP 12
2020
Later among the works it cites.
T. Tada, “Time development of conformal field theories associated with L 1 L_{1} and L − 1 L_{-1} operators,” J. Phys. A 53
2020
Later among the works it cites.
J. Erdmenger, M. Gerbershagen and A. L. Weigel, “Complexity measures from geometric actions on Virasoro and Kac-Moody orbits,” JHEP 11
2020
Later among the works it cites.
G. Di Giulio and E. Tonni, “Complexity of mixed Gaussian states from Fisher information geometry,” JHEP 12
2020
Later among the works it cites.
S. K. Jian, B. Swingle and Z. Y. Xian, “Complexity growth of operators in the SYK model and in JT gravity,” JHEP 03
2021
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2021
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J. L. F. Barbon, J. Martin-Garcia and M. Sasieta, “A Generalized Momentum/Complexity Correspondence,” JHEP 04
2021
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R. Auzzi, S. Baiguera, G. B. De Luca, A. Legramandi, G. Nardelli and N. Zenoni, “Geometry of quantum complexity,” Phys. Rev. D 103
2021
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V. Balasubramanian, M. Decross, A. Kar, Y. Li and O. Parrikar, “Complexity growth in integrable and chaotic models,” JHEP 07
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F. G. S. L. Brandão, W. Chemissany, N. Hunter-Jones, R. Kueng and J. Preskill, “Models of Quantum Complexity Growth,” PRX Quantum 2
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J. Boruch, P. Caputa, D. Ge and T. Takayanagi, “Holographic path-integral optimization,” JHEP 07
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B. Chen, B. Czech and Z. z. Wang, “Query complexity and cutoff dependence of the CFT2 ground state,” Phys. Rev. D 103
2021
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K. Kawabata, T. Nishioka, Y. Okuyama and K. Watanabe, “Probing Hawking radiation through capacity of entanglement,” JHEP 05
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P. Nandy, “Capacity of entanglement in local operators,” JHEP 07
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Y. Sekino and L. Susskind, Fast Scramblers
2096
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