One-shot manipulation of dynamical quantum resources
We develop a unified framework to characterize one-shot transformations of dynamical quantum resources in terms of resource quantifiers, establishing universal conditions for exact and approximate transformations in general resource theories. Our framework encompasses all dynamical resources represe...
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sg-ntu-dr.10356-1536352023-02-28T20:00:19Z One-shot manipulation of dynamical quantum resources Regula, Bartosz Takagi, Ryuji School of Physical and Mathematical Sciences Science::Physics Entanglement Channel We develop a unified framework to characterize one-shot transformations of dynamical quantum resources in terms of resource quantifiers, establishing universal conditions for exact and approximate transformations in general resource theories. Our framework encompasses all dynamical resources represented as quantum channels, including those with a specific structure-such as boxes, assemblages, and measurements-thus immediately applying in a vast range of physical settings. For the particularly important manipulation tasks of distillation and dilution, we show that our conditions become necessary and sufficient for broad classes of important theories, enabling an exact characterization of these tasks and establishing a precise connection between operational problems and resource monotones based on entropic divergences. We exemplify our results by considering explicit applications to quantum communication, where we obtain exact expressions for one-shot quantum capacity and simulation cost assisted by no-signaling, separability-preserving, and positive partial transpose-preserving codes; as well as to nonlocality, contextuality, and measurement incompatibility, where we present operational applications of a number of relevant resource measures. Ministry of Education (MOE) National Research Foundation (NRF) Published version B. R. was supported by the Presidential Postdoctoral Fellowship from Nanyang Technological University, Singapore. R. T. acknowledges the support of NSF, ARO, IARPA, AFOSR, the Takenaka Scholarship Foundation, the National Research Foundation (NRF) Singapore, under its NRFF Fellow programme (Grant No. NRF-NRFF2016- 02), and the Singapore Ministry of Education Tier 1 Grant No. 2019-T1-002-015. 2022-01-07T01:54:48Z 2022-01-07T01:54:48Z 2021 Journal Article Regula, B. & Takagi, R. (2021). One-shot manipulation of dynamical quantum resources. Physical Review Letters, 127(6), 060402-. https://dx.doi.org/10.1103/PhysRevLett.127.060402 0031-9007 https://hdl.handle.net/10356/153635 10.1103/PhysRevLett.127.060402 34420334 2-s2.0-85112386481 6 127 060402 en NRF-NRFF2016- 02 2019-T1-002-015 Physical Review Letters © 2021. Published 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. application/pdf |
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Science::Physics Entanglement Channel Regula, Bartosz Takagi, Ryuji One-shot manipulation of dynamical quantum resources |
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We develop a unified framework to characterize one-shot transformations of dynamical quantum resources in terms of resource quantifiers, establishing universal conditions for exact and approximate transformations in general resource theories. Our framework encompasses all dynamical resources represented as quantum channels, including those with a specific structure-such as boxes, assemblages, and measurements-thus immediately applying in a vast range of physical settings. For the particularly important manipulation tasks of distillation and dilution, we show that our conditions become necessary and sufficient for broad classes of important theories, enabling an exact characterization of these tasks and establishing a precise connection between operational problems and resource monotones based on entropic divergences. We exemplify our results by considering explicit applications to quantum communication, where we obtain exact expressions for one-shot quantum capacity and simulation cost assisted by no-signaling, separability-preserving, and positive partial transpose-preserving codes; as well as to nonlocality, contextuality, and measurement incompatibility, where we present operational applications of a number of relevant resource measures. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Regula, Bartosz Takagi, Ryuji |
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Article |
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Regula, Bartosz Takagi, Ryuji |
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Regula, Bartosz |
title |
One-shot manipulation of dynamical quantum resources |
title_short |
One-shot manipulation of dynamical quantum resources |
title_full |
One-shot manipulation of dynamical quantum resources |
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One-shot manipulation of dynamical quantum resources |
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One-shot manipulation of dynamical quantum resources |
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one-shot manipulation of dynamical quantum resources |
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2022 |
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https://hdl.handle.net/10356/153635 |
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1759856665375539200 |