Out-of-time-ordered-correlator quasiprobabilities robustly witness scrambling - INSPIRE

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Out-of-time-ordered-correlator quasiprobabilities robustly witness scrambling

José Raúl González Alonso
(
- Chapman U.
)
,
Nicole Yunger Halpern
(
- Caltech and
- Caltech, IQI
)
,
Justin Dressel
(
- Chapman U.
)

Jun 25, 2018

12 pages

Published in:

Phys.Rev.Lett. 122 (2019) 4, 040404

Published: Feb 2, 2019

e-Print:

1806.09637 [quant-ph]

DOI:

10.1103/PhysRevLett.122.040404

View in:

ADS Abstract Service

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Abstract: (APS)

Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as qualitative witnesses of information scrambling in many-body quantum systems. Theoretical discussions of OTOCs typically focus on closed systems, raising the question of their suitability as scrambling witnesses in realistic open systems. We demonstrate empirically that the nonclassical negativity of the quasiprobability distribution (QPD) behind the OTOC is a more sensitive witness for scrambling than the OTOC itself. Nonclassical features of the QPD evolve with timescales that are robust with respect to decoherence and are immune to false positives caused by decoherence. To reach this conclusion, we numerically simulate spin-chain dynamics and three measurement protocols (the interferometric, quantum-clock, and weak-measurement schemes) for measuring OTOCs. We target experiments based on quantum-computing hardware such as superconducting qubits and trapped ions.

Note:

12 pages, 8 figures; v2: published version

General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.
computer: quantum
decoherence
correlation function
superconductivity
many-body problem
interferometer
hardware
qubit
ion: capture

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