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Quantum scrambling with classical shadows

delete2021-08-13
delete41
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OA
AI
R
Roy J. Garcia *
Z
Zhou, You
A
Arthur Jaffe
DOI:10.1103/PhysRevResearch.3.033155delete
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Abstract

Abstract

En 中文
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.
Keywords:
ENTANGLEMENT ENTROPY
DYNAMICS
UNITARY

Journal

Physical Review Research cover
Physical Review Research
IF:
4.2
Papers:
7.6K
Citations:
2.7W

Organization

H
Harvard University
Scholars:
26.5W
Papers: 22.0W
Citations: 28.7W