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Title: One-shot manipulation of dynamical quantum resources
Authors: Regula, Bartosz
Takagi, Ryuji
Keywords: Science::Physics
Issue Date: 2021
Source: Regula, B. & Takagi, R. (2021). One-shot manipulation of dynamical quantum resources. Physical Review Letters, 127(6), 060402-.
Project: NRF-NRFF2016- 02
Journal: Physical Review Letters
Abstract: 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.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.127.060402
Schools: School of Physical and Mathematical Sciences 
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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