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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Geometry of skew information-based quantum coherence
TL;DR: In this paper, the skew information-based coherence of quantum states is studied and surfaces of skew information based coherence for Bell-diagonal states and a special class of X states in both computational basis and in mutually unbiased bases are given.
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Quantum Coherence and Transfer of Quantum Information with a Kerr Medium Under Decoherence
TL;DR: In this article, the authors investigate the dynamics of quantum coherence of a system consisting of two interacting atoms coupling with a common cavity which is filled with a nonlinear Kerr-like medium, in the presence of intrinsic decoherence.
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Nonlocal advantage of quantum coherence of coupled qubits in thermal and dephasing reservoirs
TL;DR: In this article, the authors investigated the nonlocal advantage of quantum coherence for two qubits coupled via the Heisenberg interaction and embedded in their respective thermal and dephasing reservoirs.
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Quantum Advantage for Shared Randomness Generation
TL;DR: The non-monopolize social subsidy game was introduced in this paper, where the quantum states leading to the desired advantage must possess non-classicality in the form of quantum discord.
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Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
C. L. Liu,C. L. Liu,Duan-Lu Zhou +2 more
TL;DR: In this article, the authors investigate the transformation from a mixed coherent state into a pure one by using both incoherent operations and stochastic incoherent operation, and they show that both the strictly incoherent and the non-coherence operations can increase the dimension of the maximal pure coherent subspace of a state.
References
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