Optimal measurement preserving qubit channels

Optimal measurement preserving qubit channels

We consider the problem of discriminating qubit states that are sent over a quantum channel and derive a necessary and sufficient condition for an optimal measurement to be preserved by the channel. We apply the result to the characterization of optimal measurement preserving (OMP) channels for a gi...

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Bibliographic Details
Main Authors: Kechrimparis, Spiros, Bae, Joonwoo
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Science::Physics
Quantum State Discrimination
Quantum Channels
Online Access:https://hdl.handle.net/10356/147178
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Institution: Nanyang Technological University
Language: English
Description
Summary:We consider the problem of discriminating qubit states that are sent over a quantum channel and derive a necessary and sufficient condition for an optimal measurement to be preserved by the channel. We apply the result to the characterization of optimal measurement preserving (OMP) channels for a given qubit ensemble, e.g., a set of two states or a set of multiple qubit states with equal a priori probabilities. Conversely, we also characterize qubit ensembles for which a given channel is OMP, such as unitary and depolarization channels. Finally, we show how the sets of OMP channels for a given ensemble can be constructed.

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