Fetching the paper…
Reading the bibliography…
Out-of-time-order correlation (OTOC) functions provide a powerful theoretical tool for diagnosing chaos and the scrambling of information in strongly-interacting, quantum systems.
A. Larkin and Y. N. Ovchinnikov, Sov Phys JETP 28
1969
Earlier work this paper cites.
J. M. Deutsch, Physical Review A 43
1991
Earlier work this paper cites.
D. N. Page, Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
M. Srednicki, Physical Review E 50
1994
Earlier work this paper cites.
L. K. Grover, in Proceedings of the twenty-eighth annual ACM symposium on Theory of computing (ACM, 1996) pp. 212–219
1996
Earlier work this paper cites.
Z. Hradil, Physical Review A 55
1997
Earlier work this paper cites.
V. Dodonov and V. Man’ko, Physics Letters A 229
1997
Earlier work this paper cites.
D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, Nature 390
1997
Earlier work this paper cites.
H. Tasaki, Physical review letters 80
1998
Earlier work this paper cites.
A. Furusawa, J. L. Sørensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, Science 282
1998
Earlier work this paper cites.
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, Journal of Mathematical Physics 45
2004
Earlier work this paper cites.
H. Häffner, W. Hänsel, C. Roos, J. Benhelm, M. Chwalla, T. Körber, U. Rapol, M. Riebe, P. Schmidt, C. Becher, et al. , Nature 438
2005
Earlier work this paper cites.
P. Hayden and J. Preskill, JHEP 09
2007
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, Nature 452
2008
Earlier work this paper cites.
Y. Sekino and L. Susskind, JHEP 10
2008
Earlier work this paper cites.
P. Hayden, M. Horodecki, A. Winter, and J. Yard, Open Syst. Inf. Dyn. 15
2008
Earlier work this paper cites.
D. Gross, Y.-K. Liu, S. T. Flammia, S. Becker, and J. Eisert, Physical review letters 105
2010
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information (Cambridge university press, 2010)
2010
Cited alongside, same era.
The intuition behind this ambiguity is that for a generic quantum channel, one can decompose its action using Kraus operators but this decomposition is not unique Nielsen and Chuang 2010
2010
Cited alongside, same era.
N. Lashkari, D. Stanford, M. Hastings, T. Osborne, and P. Hayden, JHEP 04
2013
Cited alongside, same era.
A. Kitaev, “Hidden correlations in the hawking radiation and thermal noise,” (2014), talk given at the Fundamental Physics Prize Symposium, Nov. 10, 2014
2014
Cited alongside, same era.
Notable examples of fast quantum information scramblers include: the SYK model Kitaev 2015 , k k -local random spin models Erdős and Schröder 2014 and random quantum circuits Dankert et al. 2009b
2014
J. Maldacena, D. Stanford, and Z. Yang, Fortsch. Phys. 65
2017
Later among the works it cites.
D. A. Roberts and B. Yoshida, JHEP 04
2017
Later among the works it cites.
A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Phys. Rev. X 7
2017
Later among the works it cites.
C. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. Sondhi, (2017), arXiv:1705.08910
2017
Later among the works it cites.
J. Cotler, N. Hunter-Jones, J. Liu, and B. Yoshida, JHEP 11
2017
Later among the works it cites.
R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen, and S. Sachdev, Phys. Rev. B 95
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
L. Erdős and D. Schröder, D. Math Phys Anal Geom 17
2014
Cited alongside, same era.
D. A. Roberts, D. Stanford, and L. Susskind, JHEP 03
2015
Cited alongside, same era.
D. A. Roberts and D. Stanford, Phys. Rev. Lett. 115
2015
Cited alongside, same era.
A. Kitaev, “A simple model of quantum holography,” (2015), talks at KITP, April 7, 2015 and May 27, 2015
2015
Cited alongside, same era.
F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, JHEP 06
2015
Cited alongside, same era.
J. Maldacena and D. Stanford, Phys. Rev. D 94
2016
Cited alongside, same era.
P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, JHEP 02
2016
Cited alongside, same era.
Y. Gu, X.-L. Qi, and D. Stanford, JHEP 05
2017
Later among the works it cites.
B. Yoshida and A. Kitaev, (2017) , arXiv:1710.03363
2017
Later among the works it cites.
S. Banerjee and E. Altman, Physical Review B 95
2017
Later among the works it cites.
A. A. Patel and S. Sachdev, Proceedings of the National Academy of Sciences 114
2017
Later among the works it cites.
M. Gärttner, J. G. Bohnet, A. Safavi-Naini, M. L. Wall, J. J. Bollinger, and A. M. Rey, Nature Physics (2017)
2017
Later among the works it cites.
J. Li, R. Fan, H. Wang, B. Ye, B. Zeng, H. Zhai, X. Peng, and J. Du, Physical Review X 7
2017
Later among the works it cites.
We note that in the presence of arbitrary forms of noise and decoherence, the experimentally “measured” value of the OTOC may depend on the specific measurement protocol. For example, the OTOC measured via interferometric protocols Swingle et al. 2016 ; Yao et al. 2016 ; Zhu et al. 2016 ; Gärttner et al. 2017 ; Li et al. 2017 will generically differ from the OTOC measured via our teleportation protocol. However, for the important case of a purely depolarizing channel as per Eqn. ( 7
2017
Later among the works it cites.
J. Zhang, G. Pagano, P. W. Hess, A. Kyprianidis, P. Becker, H. Kaplan, A. V. Gorshkov, Z.-X. Gong, and C. Monroe, Nature 551
2017
Later among the works it cites.
H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, et al. , Nature 551
2017
Later among the works it cites.
J. Preskill, arXiv preprint arXiv:1801.00862 (2018)
2018
Closest in time.