A note on the stabilizer formalism via noncommutative graphs
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910348119900160 |
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| author | Araiza, Roy Cai, Jihong Chen, Yushan Holtermann, Abraham Hsu, Chieh Mohan, Tushar Wu, Peixue Yu, Zeyuan |
| author_facet | Araiza, Roy Cai, Jihong Chen, Yushan Holtermann, Abraham Hsu, Chieh Mohan, Tushar Wu, Peixue Yu, Zeyuan |
| contents | In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary representations of compact groups, and suitably chosen operators on finite-dimensional Hilbert spaces. Furthermore, in this framework, we generalize previous results in this area for determining when such noncommutative graphs have anticliques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00762 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on the stabilizer formalism via noncommutative graphs Araiza, Roy Cai, Jihong Chen, Yushan Holtermann, Abraham Hsu, Chieh Mohan, Tushar Wu, Peixue Yu, Zeyuan Information Theory Operator Algebras Quantum Physics In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary representations of compact groups, and suitably chosen operators on finite-dimensional Hilbert spaces. Furthermore, in this framework, we generalize previous results in this area for determining when such noncommutative graphs have anticliques. |
| title | A note on the stabilizer formalism via noncommutative graphs |
| topic | Information Theory Operator Algebras Quantum Physics |
| url | https://arxiv.org/abs/2310.00762 |