Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result

• URL: http://arxiv.org/abs/2602.08628v1
• Date: Mon, 09 Feb 2026 13:21:27 GMT
• Title: Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result
• Authors: Gergely Bunth, Eszter Szabó, Dániel Virosztek,
• Abstract summary: 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 $n in mathbbN.$<n>It turns out that the isometries are precisely the Wigner symmetries, that is, the unitary or anti-unitary conjugations.
• Score: 1.529342790344802
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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