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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Coherence and entanglement dynamics of vibrating qubits
TL;DR: In this article, the dynamics of coherence and entanglement of vibrating qubits were investigated and it was shown that qubit vibration can lead to prolonging initial coherence in both single qubit and two-qubit systems.
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Average subentropy, coherence and entanglement of random mixed quantum states
TL;DR: In this article, the average sub-entropy and coherence of random bipartite mixed states were investigated and the typicality of the relative entropy of coherence for random mixed states invoking the concentration of measure phenomenon was established.
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Detecting non-Markovianity via quantified coherence: theory and experiments
TL;DR: In this article, the relation between quantum Markovianity and coherence was investigated, providing an effective way for detecting non-Markovianness based on the quantum-incoherent relative entropy of coherence.
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Coherence of quantum channels
TL;DR: In this article, the authors investigated the coherence of quantum channels and established a resource theory for quantifying the quantum coherence, and defined the incoherent channels and incoherent superchannels.
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Of Local Operations and Physical Wires
TL;DR: This work revisits the resource theory defining entanglement, Local Operations and Classical Communication, placing the focus on the underlying quantum nature of the communication channels and defines a resource theory that singles out coherence in the wire connecting the spatially separated systems as an operationally useful resource.
References
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