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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The resource theory of dephasing estimation in multiqubit systems
TL;DR: In this paper , the power of a multi-qubit system as a probe in the task of dephasing estimation was investigated and two sets of free operations were proposed based on the monotonicity of quantum Fisher information.
Quantum Coherence and non-Markovianity in a Noisy Quantum Tunneling Problem
TL;DR: In this paper , the coherence and non-Markovianity of a quantum tunnelling system whose barrier is strengthened by a telegraph noise, and its energy gap is modulated by a Gaussian noise are investigated.
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System of six-level atom interacting with a quantized field in the existence of time-varying coupling
TL;DR: In this article , the authors extend the Jaynes-Cummings model in the framework of six-level atom (LA) system in the presence of a quantized field described by an ordinary coherent state or a superposition state.
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Coherence, purity and correlation for superconducting charge qubits
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Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness
Kobra Mahdavipour,Mahshid Khazaei Shadfar,H. Rangani Jahromi,Roberto Morandotti,Rosario Lo Franco +4 more
TL;DR: In this paper , the Hilbert-Schmidt speed (HSS) is used to detect non-Markovianity in high-dimensional and multipartite open quantum systems with finite Hilbert spaces.
References
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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.
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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.