Operational characterization of incompatibility of quantum channels with quantum state discrimination
arXiv:1906.09859 · doi:10.1103/PhysRevA.101.032331
Abstract
A collection of quantum channels is called incompatible if they cannot be obtained as marginals from a single channel. No-cloning theorem is the most prominent instance of incompatibility of quantum channels. We show that every collection of incompatible channels can be more useful than compatible ones as preprocessings in a state discrimination task with multiple ensembles of states. This is done by showing that the robustness of channel incompatibility which is a measure for incompatibility of channels exactly quantifies the maximum advantage in the state discrimination. We also show that incompatibility of quantum measurement and channel has a similar operational interpretation. Finally, we demonstrate that our result with respect to channel incompatibility includes all other kinds of incompatibility as special cases.
Published version
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- Characterizing and quantifying the incompatibility of quantum instruments
- Incompatibility of local measurements provide advantage in local quantum state discrimination
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- Relating CP divisibility of dynamical maps with compatibility of channels
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