Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result
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| Format: | Preprint |
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2026
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| _version_ | 1866910016582189056 |
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| author | Bunth, Gergely Szabó, Eszter Virosztek, Dániel |
| author_facet | Bunth, Gergely Szabó, Eszter Virosztek, Dániel |
| contents | We determine the isometry group of the $n$-qubit state space with respect to the quantum Wasserstein distance induced by the so-called symmetric transport cost for all $n \in \mathbb{N}.$ It turns out that the isometries are precisely the Wigner symmetries, that is, the unitary or anti-unitary conjugations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08628 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result Bunth, Gergely Szabó, Eszter Virosztek, Dániel Mathematical Physics Operator Algebras Quantum Physics Primary: 49Q22, 81P16. Secondary: 81Q10 We determine the isometry group of the $n$-qubit state space with respect to the quantum Wasserstein distance induced by the so-called symmetric transport cost for all $n \in \mathbb{N}.$ It turns out that the isometries are precisely the Wigner symmetries, that is, the unitary or anti-unitary conjugations. |
| title | Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result |
| topic | Mathematical Physics Operator Algebras Quantum Physics Primary: 49Q22, 81P16. Secondary: 81Q10 |
| url | https://arxiv.org/abs/2602.08628 |