Quantum error correction in SYK-like models.

Title: Quantum error correction in SYK-like models
Speaker: Masaki Tezuka (Department of Physics, Kyoto University)

Start Date/Time: 2022-06-01 / 10:30 (Taipei time)
End Date/Time: 2022-06-01 / 12:00
Venue: Online Zoom [Registration
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Host : Prof. Pochung Chen (Department of Physics, NTHU)

Abstract : In the Hayden-Preskill protocol, which was proposed as a toy model for studying the black hole information loss problem from a quantum information theoretical viewpoint, black holes and their Hawking radiation are treated as composed of quantum bits. For an old black hole entangled with much Hawking radiation, an observer with the knowledge of the details of the black hole and the previous radiation would be able to gain the knowledge on new quantum information thrown into the black hole just by collecting new radiation of a similar amount. This information recovery is due to the scrambling dynamics of the quantum chaotic black hole and can be regarded as an information theoretical characterization of scrambling. We have quantitatively studied the relationship between the chaotic dynamics by quantum many-body Hamiltonian and quantum error correction accuracy [2]. In this talk, we discuss the cases of the Sachdev-Ye-Kitaev model and its two variants, namely the SYK4+2 model [3], in which the chaotic behavior is suppressed, and a version [4] of the sparse SYK model [5] where the absolute value of the couplings is limited to a constant.

[1] P. Hayden and J. Preskill, JHEP 0709, 120 (2007)[arXiv:0708.4025][2] B. Yoshida and A. Kitaev, arXiv:1710.03363.

[2] Y. Nakata and M. Tezuka, in preparation.

[3] see e.g. A. M. García-García, B. Loureiro, A. Romero-Bermúdez, and M. Tezuka, Phys. Rev. Lett. 120, 241603 (2018) [arXiv:1707.02197]; F. Monteiro, T. Micklitz, M. Tezuka, and A. Altland, Phys. Rev. Research 3, 013023 (2021) [arXiv:2005.12809]; F. Monteiro, M. Tezuka, A. Altland, D. A. Huse, and T. Micklitz, Phys. Rev. Lett. 127, 030601 (2021) [arXiv:2012.07884].

[4] M. Tezuka et al., in preparation.

[5] B. Swingle, talk at Workshop: Applications of Random Matrix Theory to Many-Body Physics (2019) ; S. Xu, L. Susskind, Y. Su, and B. Swingle, arXiv:2008.02303; A. M. García-García, Y. Jia, D. Rosa, and J. J. M. Verbaarschot, Phys. Rev. D 103, 106002 (2021) [arXiv:2007.13837].

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