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Quantum State Preparation Representation
Quantum Wasserstein isometries of the n-qubit state space: a Wigner-type result
arXiv
Authors: Gergely Bunth, Eszter Szabó, Dániel Virosztek
Year
2026
Paper ID
236
Status
Preprint
Abstract Read
~2 min
Abstract Words
49
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N/A
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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- 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...
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