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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Activation of indistinguishability-based quantum coherence for enhanced metrological applications with particle statistics imprint
Kai-Le Sun,Zheng-Hao Liu,Yan Wang,Ze-Yan Hao,Xiaoyuan Xu,Jin-Shi Xu,Chuang-Feng Li,Guang-Can Guo,Alessia Castellini,Ludovico Lami,Andreas Winter,Gerardo Adesso,Giuseppe Compagno,Rosario Lo Franco +13 more
TL;DR: In this article , the contribution of spatial indistinguishability to quantum coherence has been investigated, in a controllable fashion, for non-identical and identical particles.
Journal ArticleDOI
Quantifying quantum coherence in polariton condensates
Carolin Lüders,Matthias Pukrop,E. Rozas,Christian Schneider,Sven Höfling,Jan Sperling,Stefan Schumacher,Stefan Schumacher,Marc Aßmann +8 more
TL;DR: In this article, the authors theoretically and experimentally investigate quantum features of an interacting light-matter system from a multidisciplinary perspective, unifying approaches from semiconductor physics, quantum optics, and quantum information science.
Journal ArticleDOI
Freezing and revival of quantum coherence in decoherent reservoir
TL;DR: The dynamical conditions under which the QC is frozen in the Markovian reservoir are derived and the underlying physical mechanisms are explored by investigating the trade-off relation between QC and mixedness of system.
Journal ArticleDOI
Stereographic geometry of coherence and which-path information.
TL;DR: It is shown that the duality-entanglement relation naturally emerges from the stereographic projection geometry, and it is demonstrated that this geometry is complementarity sensitive, in the sense that it is sensitive to the particle nature, wave nature, and entanglement nature of a single photon.
Journal ArticleDOI
Transformations of multilevel coherent states under coherence-preserving operations
TL;DR: In this paper, it was shown that any two multilevel coherent resource pure states can be interconverted with a nonzero probability via a completely positive and trace non-increasing k-coherence-preserving map.
References
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