Contextual Advantages and Certification for Maximum-Confidence Discrimination
One of the most fundamental results in quantum information theory is that no measurement can perfectly discriminate between nonorthogonal quantum states. In this work, we investigate quantum advantages for discrimination tasks over noncontextual theories by considering a maximum-confidence measureme...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-09-01
|
| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/PRXQuantum.3.030337 |
| _version_ | 1828147913528705024 |
|---|---|
| author | Kieran Flatt Hanwool Lee Carles Roch I Carceller Jonatan Bohr Brask Joonwoo Bae |
| author_facet | Kieran Flatt Hanwool Lee Carles Roch I Carceller Jonatan Bohr Brask Joonwoo Bae |
| author_sort | Kieran Flatt |
| collection | DOAJ |
| description | One of the most fundamental results in quantum information theory is that no measurement can perfectly discriminate between nonorthogonal quantum states. In this work, we investigate quantum advantages for discrimination tasks over noncontextual theories by considering a maximum-confidence measurement that unifies different strategies of quantum state discrimination, including minimum-error and unambiguous discrimination. We first show that maximum-confidence discrimination, as well as unambiguous discrimination, contains contextual advantages. We then consider a semi-device-independent scenario of certifying maximum-confidence measurement. The scenario naturally contains undetected events, making it a natural setting to explore maximum-confidence measurements. We show that the certified maximum confidence in quantum theory also contains contextual advantages. Our results establish how the advantages of quantum theory over a classical model may appear in a realistic scenario of a discrimination task. |
| first_indexed | 2024-04-11T21:07:16Z |
| format | Article |
| id | doaj.art-d6cc456747904d168a98d1847dbfed58 |
| institution | Directory Open Access Journal |
| issn | 2691-3399 |
| language | English |
| last_indexed | 2024-04-11T21:07:16Z |
| publishDate | 2022-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj.art-d6cc456747904d168a98d1847dbfed582022-12-22T04:03:14ZengAmerican Physical SocietyPRX Quantum2691-33992022-09-013303033710.1103/PRXQuantum.3.030337Contextual Advantages and Certification for Maximum-Confidence DiscriminationKieran FlattHanwool LeeCarles Roch I CarcellerJonatan Bohr BraskJoonwoo BaeOne of the most fundamental results in quantum information theory is that no measurement can perfectly discriminate between nonorthogonal quantum states. In this work, we investigate quantum advantages for discrimination tasks over noncontextual theories by considering a maximum-confidence measurement that unifies different strategies of quantum state discrimination, including minimum-error and unambiguous discrimination. We first show that maximum-confidence discrimination, as well as unambiguous discrimination, contains contextual advantages. We then consider a semi-device-independent scenario of certifying maximum-confidence measurement. The scenario naturally contains undetected events, making it a natural setting to explore maximum-confidence measurements. We show that the certified maximum confidence in quantum theory also contains contextual advantages. Our results establish how the advantages of quantum theory over a classical model may appear in a realistic scenario of a discrimination task.http://doi.org/10.1103/PRXQuantum.3.030337 |
| spellingShingle | Kieran Flatt Hanwool Lee Carles Roch I Carceller Jonatan Bohr Brask Joonwoo Bae Contextual Advantages and Certification for Maximum-Confidence Discrimination PRX Quantum |
| title | Contextual Advantages and Certification for Maximum-Confidence Discrimination |
| title_full | Contextual Advantages and Certification for Maximum-Confidence Discrimination |
| title_fullStr | Contextual Advantages and Certification for Maximum-Confidence Discrimination |
| title_full_unstemmed | Contextual Advantages and Certification for Maximum-Confidence Discrimination |
| title_short | Contextual Advantages and Certification for Maximum-Confidence Discrimination |
| title_sort | contextual advantages and certification for maximum confidence discrimination |
| url | http://doi.org/10.1103/PRXQuantum.3.030337 |
| work_keys_str_mv | AT kieranflatt contextualadvantagesandcertificationformaximumconfidencediscrimination AT hanwoollee contextualadvantagesandcertificationformaximumconfidencediscrimination AT carlesrochicarceller contextualadvantagesandcertificationformaximumconfidencediscrimination AT jonatanbohrbrask contextualadvantagesandcertificationformaximumconfidencediscrimination AT joonwoobae contextualadvantagesandcertificationformaximumconfidencediscrimination |