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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.03961 |
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| _version_ | 1866916611234988032 |
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| author | Burchardt, Adam de Jong, Jarn Vandré, Lina |
| author_facet | Burchardt, Adam de Jong, Jarn Vandré, Lina |
| contents | We present an algorithm for verifying the local unitary (LU) equivalence of graph and stabilizer states. Our approach reduces the problem to solving a system of linear equations in modular arithmetic. Furthermore, we demonstrate that any LU transformation between two graph states takes a specific form, naturally generalizing the class of local Clifford (LC) transformations. Lastly, using existing libraries, we verify that for up to $n=11$, the number of LU and LC orbits of stabilizer states is identical. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03961 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algorithm to Verify Local Equivalence of Stabilizer States Burchardt, Adam de Jong, Jarn Vandré, Lina Quantum Physics We present an algorithm for verifying the local unitary (LU) equivalence of graph and stabilizer states. Our approach reduces the problem to solving a system of linear equations in modular arithmetic. Furthermore, we demonstrate that any LU transformation between two graph states takes a specific form, naturally generalizing the class of local Clifford (LC) transformations. Lastly, using existing libraries, we verify that for up to $n=11$, the number of LU and LC orbits of stabilizer states is identical. |
| title | Algorithm to Verify Local Equivalence of Stabilizer States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.03961 |