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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Journal ArticleDOI
Operational Advantage of Quantum Resources in Subchannel Discrimination.
Ryuji Takagi,Bartosz Regula,Bartosz Regula,Kaifeng Bu,Kaifeng Bu,Zi-Wen Liu,Zi-Wen Liu,Gerardo Adesso +7 more
TL;DR: It is established in particular that any resource state enables an advantage in a channel discrimination task, allowing for a strictly greater success probability than any state without the given resource.
Journal ArticleDOI
Convex resource theory of non-Gaussianity
Ryuji Takagi,Quntao Zhuang +1 more
TL;DR: A monotone is introduced to quantify the genuine non-Gaussianity of resource states, in analogy to the stabilizer theory, and a protocol is given that allows the distillation of cubic phase states, which enables universal quantum computation when combined with free operations.
Journal ArticleDOI
Genuine quantum coherence
TL;DR: This framework captures coherence under additional constrains such as energy preservation and all genuinely incoherent operations are incoherent regardless of their particular experimental realization, and introduces the full class of operations with this property, which is called fully incoherent.
Journal ArticleDOI
Quantifying Operations with an Application to Coherence.
TL;DR: This work presents two measures quantifying the ability of an operation to detect, i.e., to use, coherence, one of them with an operational interpretation, and provides methods to evaluate them.
Journal ArticleDOI
Quantum processes which do not use coherence
TL;DR: In this article, a resource theory of quantum coherence is proposed, and a physical interpretation in terms of interferometry and a dilation theorem is given, showing how these operations can always be constructed by interacting the system in an incoherent way with an ancilla.
References
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