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Resilience of scrambling measurements

Swingle, Brian and Yunger Halpern, Nicole (2018) Resilience of scrambling measurements. Physical Review A, 97 (6). Art. No. 062113. ISSN 2469-9926. doi:10.1103/PhysRevA.97.062113.

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Most experimental protocols for measuring scrambling require time evolution with a Hamiltonian and with the Hamiltonian's negative counterpart (backward time evolution). Engineering controllable quantum many-body systems for which such forward and backward evolution is possible is a significant experimental challenge. Furthermore, if the system of interest is quantum chaotic, one might worry that any small errors in the time reversal will be rapidly amplified, obscuring the physics of scrambling. This paper undermines this expectation: We exhibit a renormalization protocol that extracts nearly ideal out-of-time-ordered-correlator measurements from imperfect experimental measurements. We analytically and numerically demonstrate the protocol's effectiveness, up to the scrambling time, in a variety of models and for sizable imperfections. The scheme extends to errors from decoherence by an environment.

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URLURL TypeDescription Paper
Yunger Halpern, Nicole0000-0001-8670-6212
Additional Information:© 2018 American Physical Society. Received 11 February 2018; revised manuscript received 8 May 2018; published 14 June 2018. N.Y.H. is grateful for funding from the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support of the Gordon and Betty Moore Foundation (Grant No. GBMF-2644); for partial support from the Walter Burke Institute for Theoretical Physics at Caltech; for support through a Graduate Fellowship from the Kavli Institute for Theoretical Physics; for a Barbara Groce Graduate Fellowship; and to Justin Dressel for weak-measurement discussions. B.G.S. was supported by the Simons Foundation, through the “It From Qubit Collaboration,” and by the National Science Foundation, under Grant No. NSF PHY-1125915, and acknowledges useful discussions with Monika Schleier-Smith and Norm Yao.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Kavli Institute for Theoretical PhysicsUNSPECIFIED
Barbara Groce Graduate Fellowship, CaltechUNSPECIFIED
Simons FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20180614-080416976
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87095
Deposited By: Tony Diaz
Deposited On:14 Jun 2018 16:50
Last Modified:15 Nov 2021 20:45

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