In this note, I define error exponents and strong converse exponents for the tasks of distinguishability distillation and dilution. These are counterparts to the one-shot distillable distinguishability and the one-shot distinguishability cost, as previously defined in the resource theory of asymmetric distinguishability. I show that they can be evaluated by semi-definite programming, establish a number of their properties, bound them using Renyi relative entropies, and relate them to each other.Comment: v2: 29 pages, minor changes, published in Quantum Information Processin
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© 2017, Springer Science+Business Media B.V. Distance measures between quantum states like the trace...
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Distance measures between quantum states like the trace distance and the fidelity can naturally be d...
We consider the additional entropy production (EP) incurred by a fixed quantum or classical process ...
Abstract: Having a distance measure between quantum states satisfying the right properties is of fun...
The Rains relative entropy of a bipartite quantum state is the tightest known upper bound on its dis...
This paper systematically develops the resource theory of asymmetric distinguishability, as initiate...
It is known that the variance and entropy of quantum observables decompose into intrinsically quantu...
We introduce a new quantum decoder based on a variant of the pretty good measurement, but defined vi...
This paper develops the resource theory of asymmetric distinguishability for quantum channels, gener...
© 2017, Springer Science+Business Media B.V. Distance measures between quantum states like the trace...
Integral representations of quantum relative entropy, and of the directional second and higher order...
This paper studies the difficulty of discriminating between an arbitrary quantum channel and a “repl...
We show that the maximum fidelity obtained by a positive partial transpose (p.p.t.) distillation pro...
Summary: We study the difficulty of discriminating between an arbitrary quantum channel and a "...
We provide a transparent, simple and unified treatment of recent results on the equality conditions ...
Purely multiplicative comparisons of quantum relative entropy are desirable but challenging to prove...
Distance measures between quantum states like the trace distance and the fidelity can naturally be d...
We consider the additional entropy production (EP) incurred by a fixed quantum or classical process ...
Abstract: Having a distance measure between quantum states satisfying the right properties is of fun...
The Rains relative entropy of a bipartite quantum state is the tightest known upper bound on its dis...