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Finite Speed of Quantum Scrambling with Long Range Interactions

Chen, Chi-Fang and Lucas, Andrew (2019) Finite Speed of Quantum Scrambling with Long Range Interactions. Physical Review Letters, 123 (25). Art. No. 250605. ISSN 0031-9007.

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In a locally interacting many-body system, two isolated qubits, separated by a large distance r, become correlated and entangled with each other at a time t≥r/v. This finite speed v of quantum information scrambling limits quantum information processing, thermalization, and even equilibrium correlations. Yet most experimental systems contain long range power-law interactions—qubits separated by r have potential energy V(r)∝r^(−α). Examples include the long range Coulomb interactions in plasma (α=1) and dipolar interactions between spins (α=3). In one spatial dimension, we prove that the speed of quantum scrambling remains finite for sufficiently large α. This result parametrically improves previous bounds, compares favorably with recent numerical simulations, and can be realized in quantum simulators with dipolar interactions. Our new mathematical methods lead to improved algorithms for classically simulating quantum systems, and improve bounds on environmental decoherence in experimental quantum information processors.

Item Type:Article
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URLURL TypeDescription Paper
Chen, Chi-Fang0000-0001-5589-7896
Additional Information:© 2019 American Physical Society. Received 15 August 2019; published 20 December 2019. We thank Alexey Gorshkov, Andrew Guo, and Minh Tran for pointing out an error in a previous version of the Letter. This work was supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant No. GBMF4302.
Funding AgencyGrant Number
Gordon and Betty Moore FoundationGBMF4302
Issue or Number:25
Record Number:CaltechAUTHORS:20191220-102009312
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100389
Deposited By: Tony Diaz
Deposited On:20 Dec 2019 19:37
Last Modified:20 Dec 2019 19:37

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