A channel-based framework for steering, non-locality and beyond
Non-locality and steering are both non-classical phenomena witnessed in nature as a result of quantum entanglement. It is now well-established that one can study non-locality independently of the formalism of quantum mechanics, in the so-called device-independent framework. With regards to steering,...
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| Format: | Journal article |
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IOP Publishing
2018
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| _version_ | 1826256569704120320 |
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| author | Hoban, MJ Sainz, AB |
| author_facet | Hoban, MJ Sainz, AB |
| author_sort | Hoban, MJ |
| collection | OXFORD |
| description | Non-locality and steering are both non-classical phenomena witnessed in nature as a result of quantum entanglement. It is now well-established that one can study non-locality independently of the formalism of quantum mechanics, in the so-called device-independent framework. With regards to steering, although one cannot study it completely independently of the quantum formalism, 'post-quantum steering' has been described, which is steering that cannot be reproduced by measurements on entangled states but does not lead to superluminal signalling. In this work we present a framework based on the study of quantum channels in which one can study steering (and non-locality) in quantum theory and beyond. In this framework, we show that kinds of steering, whether quantum or post-quantum, are directly related to particular families of quantum channels that have been previously introduced by Beckman et al (2001 Phys. Rev. A 64 052309). Utilizing this connection we also demonstrate new analytical examples of post-quantum steering, give a quantum channel interpretation of almost quantum non-locality and steering, easily recover and generalize the celebrated Gisin–Hughston–Jozsa–Wootters theorem, and initiate the study of post-quantum Buscemi non-locality and non-classical teleportation. In this way, we see post-quantum non-locality and steering as just two aspects of a more general phenomenon. |
| first_indexed | 2024-03-06T18:04:18Z |
| format | Journal article |
| id | oxford-uuid:00e91550-0d38-40ec-b045-e847a29e0704 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:04:18Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:00e91550-0d38-40ec-b045-e847a29e07042022-03-26T08:32:00ZA channel-based framework for steering, non-locality and beyondJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:00e91550-0d38-40ec-b045-e847a29e0704Symplectic Elements at OxfordIOP Publishing2018Hoban, MJSainz, ABNon-locality and steering are both non-classical phenomena witnessed in nature as a result of quantum entanglement. It is now well-established that one can study non-locality independently of the formalism of quantum mechanics, in the so-called device-independent framework. With regards to steering, although one cannot study it completely independently of the quantum formalism, 'post-quantum steering' has been described, which is steering that cannot be reproduced by measurements on entangled states but does not lead to superluminal signalling. In this work we present a framework based on the study of quantum channels in which one can study steering (and non-locality) in quantum theory and beyond. In this framework, we show that kinds of steering, whether quantum or post-quantum, are directly related to particular families of quantum channels that have been previously introduced by Beckman et al (2001 Phys. Rev. A 64 052309). Utilizing this connection we also demonstrate new analytical examples of post-quantum steering, give a quantum channel interpretation of almost quantum non-locality and steering, easily recover and generalize the celebrated Gisin–Hughston–Jozsa–Wootters theorem, and initiate the study of post-quantum Buscemi non-locality and non-classical teleportation. In this way, we see post-quantum non-locality and steering as just two aspects of a more general phenomenon. |
| spellingShingle | Hoban, MJ Sainz, AB A channel-based framework for steering, non-locality and beyond |
| title | A channel-based framework for steering, non-locality and beyond |
| title_full | A channel-based framework for steering, non-locality and beyond |
| title_fullStr | A channel-based framework for steering, non-locality and beyond |
| title_full_unstemmed | A channel-based framework for steering, non-locality and beyond |
| title_short | A channel-based framework for steering, non-locality and beyond |
| title_sort | channel based framework for steering non locality and beyond |
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