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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Quantum coherence bounds the distributed discords
TL;DR: In this article , the authors studied the distribution of coherence in a bipartite quantum state by using the relations of relative entropy and mutual information, and showed that quantum correlations are the essential resource for such tasks.
Measures of coherence based on projective measurements
TL;DR: In this article , the authors generalize the concept of coherence to encompass the case where experimental capabilities are not so fine to prepare a preferred basis of states, rather only a set of projectors are at disposal of the experimenter.
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Quantum-memory-assisted entropic uncertainty relations
TL;DR: The history of the development of the uncertainty relations is discussed, especially focusing on the recent progress with regard to quantum-memory-assisted entropic uncertainty relations and dynamical characteristics of the measured uncertainty in some explicit physical systems.
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Quantifying coherence in terms of Fisher information
TL;DR: In this paper , the authors present coherence measures in terms of quantum Fisher information by directly considering the post-selective non-unitary parametrization process, which demonstrates the apparent operational meaning by the exact connection between coherence and parameter estimation accuracy.
Peer Review
Continuous-variable quantum optics and resource theory for ultrafast semiconductor spectroscopy
Carolin Luders,Franziska Barkhausen,Matthias Pukrop,E. Rozas,Jan Sperling,Stefan Schumacher,Marc Aßmann +6 more
TL;DR: In this paper , the authors discuss the use of continuous variable spectroscopy techniques for investigating quantum coherence and light-matter interactions in semiconductor systems with ultrafast dynamics and demonstrate the enhanced resourcefulness of the produced system states for modern quantum protocols.
References
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