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arXiv · 2602.08628

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

Gergely Bunth·Eszter Szabó·Dániel Virosztek
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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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Gergely Bunth, Eszter Szabó, Dániel Virosztek. 2026-07-28. Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result. https://arxiv.org/abs/2602.08628

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