Operational Resource Theory of Coherence.
TLDR
An operational theory of coherence (or of superposition) in quantum systems is established, by focusing on the optimal rate of performance of certain tasks, by demonstrating that the coherence theory is generically an irreversible theory by a simple criterion that completely characterizes all reversible states.Abstract:
We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts-"coherence distillation" and "coherence cost"-in the processing quantum states under so-called incoherent operations [Baumgratz, Cramer, and Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. We, then, show that, in the asymptotic limit of many copies of a state, both are given by simple single-letter formulas: the distillable coherence is given by the relative entropy of coherence (in other words, we give the relative entropy of coherence its operational interpretation), and the coherence cost by the coherence of formation, which is an optimization over convex decompositions of the state. An immediate corollary is that there exists no bound coherent state in the sense that one would need to consume coherence to create the state, but no coherence could be distilled from it. Further, we demonstrate that the coherence theory is generically an irreversible theory by a simple criterion that completely characterizes all reversible states.read more
Citations
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Conversion of Gaussian states under incoherent Gaussian operations
TL;DR: In this paper , the authors study the question of when a coherent Gaussian state can be converted into another under incoherent Gaussian operations and build the no-go theorem of purification of coherent Gaussian states.
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Monotonicity of skew information and its applications in quantum resource theory
TL;DR: The strong monotonicity of skew information under particular quantum Trace-Preserving and Completely Positive maps is confirmed and a family of new quantum resource measures is introduced if the resource can be characterized by a resource destroying map and the free operation should be also modified.
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Accessible bounds for general quantum resources
TL;DR: A general framework that provides quantitative lower bounds to any resource quantifier that satisfies the essential property of monotonicity under the corresponding set of free operations is described.
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Optimal decomposition of incoherent qubit channel
Swapan Rana,Maciej Lewenstein +1 more
TL;DR: In this article, it was shown that any incoherent qubit channel can be decomposed into four incoherent Kraus operators by decomposing the corresponding Choi-Jamiolkowski-Sudarshan matrix.
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Experimental demonstration of optimal probabilistic enhancement of quantum coherence
TL;DR: In this paper, the authors theoretically and experimentally investigate conditional enhancement of overall coherence of quantum states by probabilistic quantum operations that apply to the input state a quantum filter diagonal in the basis of incoherent states.
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