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- W3021622235 abstract "We investigate the problem of simulating classical stochastic processes through quantum dynamics and present three scenarios where memory or time quantum advantages arise. First, by introducing and analyzing a quantum version of the embeddability problem for stochastic matrices, we show that quantum memoryless dynamics can simulate classical processes that necessarily require memory. Second, by extending the notion of space-time cost of a stochastic process P to the quantum domain, we prove an advantage of the quantum cost of simulating P over the classical cost. Third, we demonstrate that the set of classical states accessible via Markovian master equations with quantum controls is larger than the set of those accessible with classical controls, leading, e.g., to a potential advantage in cooling protocols.2 MoreReceived 20 May 2020Revised 5 November 2020Accepted 3 March 2021DOI:https://doi.org/10.1103/PhysRevX.11.021019Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasQuantum controlQuantum information processingResource theoriesQuantum Information" @default.
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- W3021622235 date "2021-04-22" @default.
- W3021622235 modified "2023-10-16" @default.
- W3021622235 title "Quantum Advantage in Simulating Stochastic Processes" @default.
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- W3021622235 doi "https://doi.org/10.1103/physrevx.11.021019" @default.
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