Optimal Discrimination Between Two Pure States and Dolinar-Type Coherent-State Detection

Itamar Katz, Yuval Kochman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the problem of discrimination between two pure quantum states. We present a unified approach which finds the optimal measurement under any distortion measure that satisfies a convexity relation with respect to the Bhattacharyya distance. The well-known results for the error probability, log-loss and 'erasure-distortion' criteria are obtained as special cases. We also treat a special setting of great practical interest, the discrimination between two coherent-light waveforms. Dolinar showed that a simple detector, with an optimal local signal, obtains the quantum-optimal error probability. By applying the convexity approach, we obtain in a unified manner the optimal local signal for the same criteria as in the general setting.

Original languageAmerican English
Title of host publication2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350399981
DOIs
StatePublished - 2022
Event58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022 - Monticello, United States
Duration: 27 Sep 202230 Sep 2022

Publication series

Name2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022

Conference

Conference58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
Country/TerritoryUnited States
CityMonticello
Period27/09/2230/09/22

Bibliographical note

Publisher Copyright:
© 2022 IEEE.

Fingerprint

Dive into the research topics of 'Optimal Discrimination Between Two Pure States and Dolinar-Type Coherent-State Detection'. Together they form a unique fingerprint.

Cite this