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Open AccessJournal ArticleDOI

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.

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Citations
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Inequalities witnessing coherence, nonlocality, and contextuality

TL;DR: This work introduces a graph-based approach to derive classicality inequalities that bound local, non- contextual, and coherence-free models, and recovers all non-contextuality inequalities of the exclusivity graph approach.
Journal ArticleDOI

Classical evolution in quantum systems

Jan Sperling, +1 more
- 01 Jun 2020 - 
TL;DR: In this article, the authors derive from first principles equations of motions that describe the classical propagation in quantum systems and compare them with the actual temporal quantum behavior to identify quantum phenomena in the system's dynamics and distinguish them from static quantum features at individual points in time.
Journal ArticleDOI

Optimal Photon Blockade on the Maximal Atomic Coherence

TL;DR: In this article, a weakly driven cavity QED system with a two-level atom trapped was designed, and it was shown for the first time that the maximal atomic coherence has a perfect correspondence with the optimal photon blockade.
Journal ArticleDOI

Exposure of subtle multipartite quantum nonlocality

TL;DR: In this paper, the authors show that a naively defined criterion for multipartite steering allows, like in Bell nonlocality, for a contradictory effect whereby local operations could create steering seemingly from scratch.
Proceedings ArticleDOI

Moderate deviation analysis of majorisation-based resource interconversion

TL;DR: This work derives the optimal trade-off in the so-called moderate deviation regime, where the rate of interconversion rn approaches its optimum in the asymptotic limit of unbounded resources (n → ∞), while the error ϵn vanishes in the same limit.
References
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Book

Elements of information theory

TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Journal ArticleDOI

Entanglement of Formation of an Arbitrary State of Two Qubits

TL;DR: In this article, an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix was conjectured.
Journal ArticleDOI

Quantum entanglement

TL;DR: In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.
Book

Inequalities: Theory of Majorization and Its Applications

TL;DR: In this paper, Doubly Stochastic Matrices and Schur-Convex Functions are used to represent matrix functions in the context of matrix factorizations, compounds, direct products and M-matrices.
Journal ArticleDOI

Quantifying Coherence

TL;DR: In this article, a rigorous framework for quantification of coherence and identification of intuitive and easily computable measures for coherence has been proposed by adopting coherence as a physical resource.
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