Quantum scrambling with classical shadows

• URL: http://arxiv.org/abs/2102.01008v1
• Date: Mon, 1 Feb 2021 17:37:39 GMT
• Title: Quantum scrambling with classical shadows
• Authors: Roy J. Garcia and You Zhou and Arthur Jaffe
• Abstract summary: 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.
• Score: 1.3496380954381821
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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