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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abcc9b |
| _version_ | 1797750277977145344 |
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| author | Spiros Kechrimparis Joonwoo Bae |
| author_facet | Spiros Kechrimparis Joonwoo Bae |
| author_sort | Spiros Kechrimparis |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:31:21Z |
| format | Article |
| id | doaj.art-48e0b061bfb9488db135cf4a2016f502 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:21Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-48e0b061bfb9488db135cf4a2016f5022023-08-08T15:29:11ZengIOP PublishingNew Journal of Physics1367-26302020-01-01221212302410.1088/1367-2630/abcc9bOptimal measurement preserving qubit channelsSpiros Kechrimparis0https://orcid.org/0000-0002-8731-9334Joonwoo Bae1https://orcid.org/0000-0002-2345-1619School of Physical and Mathematical Sciences, Nanyang Technological University , 637371, Singapore; School of Electrical Engineering, Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro Yuseong-gu, Daejeon 34141, Republic of KoreaSchool of Electrical Engineering, Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro Yuseong-gu, Daejeon 34141, Republic of KoreaWe 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.https://doi.org/10.1088/1367-2630/abcc9bquantum state discriminationquantum channelsoptimal measurement preserving channelsquantum measurementsquantum communication |
| spellingShingle | Spiros Kechrimparis Joonwoo Bae Optimal measurement preserving qubit channels New Journal of Physics quantum state discrimination quantum channels optimal measurement preserving channels quantum measurements quantum communication |
| title | Optimal measurement preserving qubit channels |
| title_full | Optimal measurement preserving qubit channels |
| title_fullStr | Optimal measurement preserving qubit channels |
| title_full_unstemmed | Optimal measurement preserving qubit channels |
| title_short | Optimal measurement preserving qubit channels |
| title_sort | optimal measurement preserving qubit channels |
| topic | quantum state discrimination quantum channels optimal measurement preserving channels quantum measurements quantum communication |
| url | https://doi.org/10.1088/1367-2630/abcc9b |
| work_keys_str_mv | AT spiroskechrimparis optimalmeasurementpreservingqubitchannels AT joonwoobae optimalmeasurementpreservingqubitchannels |