Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result
Mathematical Physics
2026-02-10 v1 math.MP
Operator Algebras
Quantum Physics
Abstract
We determine the isometry group of the -qubit state space with respect to the quantum Wasserstein distance induced by the so-called symmetric transport cost for all It turns out that the isometries are precisely the Wigner symmetries, that is, the unitary or anti-unitary conjugations.
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Cite
@article{arxiv.2602.08628,
title = {Quantum Wasserstein isometries of the $n$-qubit state space: a Wigner-type result},
author = {Gergely Bunth and Eszter Szabó and Dániel Virosztek},
journal= {arXiv preprint arXiv:2602.08628},
year = {2026}
}
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14 pages