An operator system approach to self-testing
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913906743574528 |
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| author | Crann, Jason Todorov, Ivan G. Turowska, Lyudmila |
| author_facet | Crann, Jason Todorov, Ivan G. Turowska, Lyudmila |
| contents | We develop a general framework for self-testing, in which bipartite correlations are described by states on the commuting tensor product of a pair of operator systems. We propose a definition of a local isometry between bipartite quantum systems in the commuting operator model, and define self-testing and abstract self-testing in the latter generality. We show that self-tests are in the general case always abstract self-tests and that, in some cases, the converse is also true. We apply our framework in a variety of instances, including to correlations with quantum inputs and outputs, quantum commuting correlations for the CHSH game, synchronous correlations, contextuality scenarios, quantum colourings and Schur quantum channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17980 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An operator system approach to self-testing Crann, Jason Todorov, Ivan G. Turowska, Lyudmila Quantum Physics Functional Analysis Operator Algebras We develop a general framework for self-testing, in which bipartite correlations are described by states on the commuting tensor product of a pair of operator systems. We propose a definition of a local isometry between bipartite quantum systems in the commuting operator model, and define self-testing and abstract self-testing in the latter generality. We show that self-tests are in the general case always abstract self-tests and that, in some cases, the converse is also true. We apply our framework in a variety of instances, including to correlations with quantum inputs and outputs, quantum commuting correlations for the CHSH game, synchronous correlations, contextuality scenarios, quantum colourings and Schur quantum channels. |
| title | An operator system approach to self-testing |
| topic | Quantum Physics Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2506.17980 |