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Title: Quantum scrambling with classical shadows
Authors: Garcia, Roy J.
Zhou, You
Jaffe, Arthur
Keywords: Science::Physics
Issue Date: 2021
Source: Garcia, R. J., Zhou, Y. & Jaffe, A. (2021). Quantum scrambling with classical shadows. Physical Review Research, 3(3), 033155-.
Project: RG162/19
NRF2017-NRF-ANR004 VanQuTe
Journal: Physical Review Research
Abstract: Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measurement is challenging. We propose higher-point OTOCs to reveal early-time scrambling behavior, and present protocols to measure any higher-point OTOC using the shadow estimation method. The protocols circumvent the need for time-reversal evolution and ancillary control. They can be implemented in near-term quantum devices with single-qubit readout.
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.3.033155
Schools: School of Physical and Mathematical Sciences 
Rights: © 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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