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The out-of-time-ordered correlation (OTOC) and entanglement are two physically motivated and widely used probes of the "scrambling" of quantum information, a phenomenon that has drawn great interest recently in quantum gravity and many-body physics.
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Gapless spin-fluid ground state in a random quantum heisenberg magnet
Subir Sachdev and Jinwu Ye · 1993
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On the capacities of bipartite hamiltonians and unitary gates
Charles H Bennett, Aram Wettroth Harrow, Debbie W Leung, and John A Smolin · 2003
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Matthew B Hastings and Tohru Koma · 2006
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Lieb-robinson bounds and the exponential clustering theorem
Bruno Nachtergaele and Robert Sims · 2006
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Patrick Hayden and John Preskill · 2007
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Yasuhiro Sekino and Leonard Susskind · 2008
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Aram W Harrow and Richard A Low · 2009
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Arijeet Pal and David A Huse · 2010
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Pseudo-randomness and learning in quantum computation, 2010
Richard A Low · 2010
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Winton Brown and Omar Fawzi · 2012
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http://online.kitp.ucsb.edu/online/entangled15/kitaev/,http://online.kitp.ucsb.edu/online/entangled15/kitaev2/ , 2015
Alexei Kitaev · 2015
Cited alongside, same era.
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Winton Brown and Omar Fawzi · 2015
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Scrambling time and causal structure of the photon sphere of a Schwarzschild black hole, 2018
Peter W. Shor · 2018
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Entanglement, quantum randomness, and complexity beyond scrambling
Zi-Wen Liu, Seth Lloyd, Elton Zhu, and Huangjun Zhu · 2018
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Operator spreading in random unitary circuits
Adam Nahum, Sagar Vijay, and Jeongwan Haah · 2018
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Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
Vedika Khemani, Ashvin Vishwanath, and David A. Huse · 2018
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Approximate unitary t t -designs by short random quantum circuits using nearest-neighbor and long-range gates, 2018
Aram Harrow and Saeed Mehraban · 2018
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Coarse-grained dynamics of operator and state entanglement, 2018
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Fast scrambling on sparse graphs
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Quantum many-body dynamics on the star graph, 2019
Andrew Lucas · 2019
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