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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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Journal ArticleDOI

Generic aspects of the resource theory of quantum coherence

TL;DR: In this paper, it was shown that the extreme values of a random point uniformly sampled from the unit simplex are distributed asymptotically as certain explicit homogeneous Markov chains.
Journal ArticleDOI

Nonlocality and coherence in double quantum dot systems

TL;DR: In this article, the relationship among the fidelity, quantum coherence and Bell nonlocality in double quantum dot systems (DQDs) using transmission line resonator (TLR) is examined.
Journal ArticleDOI

Average quantum coherence of pure-state decomposition

TL;DR: In this article, the average quantum coherence over the pure state decompositions of a mixed quantum state is studied, and sufficient conditions for the saturation of the upper bound are shown.
Journal ArticleDOI

Accessible and inaccessible quantum coherence in relativistic quantum systems

- 03 May 2022 - 
TL;DR: In this article , the quantum coherence of a multipartite system is investigated when some of the parties are moving with uniform acceleration and the analysis is carried out using the single-mode approximation.

Limitations on Protecting Information Against Quantum Adversaries

Eneet Kaur
TL;DR: The aim of this thesis is to understand the fundamental limitations on secret key distillation in various settings of quantum key distribution and introduces a conditional mutual information based quantifier for quantum steering, which is called intrinsic steerability and intrinsic non-locality, which are upper bounds on the achievable key rates in one-sided device- independent and device-independent quantum key Distribution protocols.
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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