Quantifying the resource content of quantum channels: An operational approach

Abstract

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a given channel from the set of free channels by free probe states is exactly characterized by the resource generating power, i.e. the maximum amount of resource produced by the action of the channel, given by the trace distance to the set of free states. We apply this framework to the resource theory of quantum coherence, as an informative example. The general results can also be easily applied to other resource theories such as entanglement, magic states, and asymmetry.

arXiv commentv2. 9 pages, new references are added v1. 8 pages, no figures

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Cited by in corpus (33)

• General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
• One-Shot Operational Quantum Resource Theory
• No-Go Theorems for Quantum Resource Purification
• Conformal field theories are magical
• Application of the Resource Theory of Channels to Communication Scenarios
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