Operational Resource Theory of Coherence.
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...In general, a Kraus operator for an IO can be represented as Ki = ∑ i ci| f (i)〉〈i|, with the coefficient ci ∈ [0, 1] and f (i) a function on the index set (Winter and Yang, 2016)....
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...This is an entropic measure of coherence which has a clear physical interpretation, as Cr(ρ) equals to the optimal rate of the distilled maximally coherent states by IO in the asymptotic limit of many copies of ρ (Winter and Yang, 2016)....
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...This type of operations also admit an incoherent Kraus decomposition {Ki} for which not only Ki but also K † i (∀ i) is incoherent (Winter and Yang, 2016)....
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"Operational Resource Theory of Cohe..." refers background in this paper
...…more recently Baumgratz et al. [5] have proposed to consider any non-trivial superposition as a resource, and to create a theory in which computational basis states and their probabilistic mixtures are for free (or worthless), and operations preserving these “incoherent” states are free as well....
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...…Autònoma de Barcelona, ES-08193 Bellaterra (Barcelona), Spain 3Laboratory for Quantum Information, China Jiliang University, Hangzhou, Zhejiang 310018, China (Dated: 16 January 2016) We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing…...
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...07 97 5v 3 [ qu an t- ph ] 1 9 Ja n 20 16 Operational Resource Theory of Coherence Andreas Winter1, 2, ∗ and Dong Yang2, 3, † 1ICREA – Institució Catalana de Recerca i Estudis Avançats, Pg. Llúıs Companys, 23, 08010 Barcelona, Spain 2F́ısica Teòrica: Informació i Fenòmens Quàntics, Universitat Autònoma de Barcelona, ES-08193 Bellaterra (Barcelona), Spain 3Laboratory for Quantum Information, China Jiliang University, Hangzhou, Zhejiang 310018, China (Dated: 16 January 2016) We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks....
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