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math-ph2024★ 2 cited
Isometries of the qubit state space with respect to quantum Wasserstein distances
Richárd Simon, Dániel Virosztek
In this paper we study isometries of quantum Wasserstein distances and divergences on the quantum bit state space. We describe isometries with respect to the symmetric quantum Wass…
math-ph2024★ 6 cited
On the metric property of quantum Wasserstein divergences
Gergely Bunth, József Pitrik, Tamás Titkos +1
Quantum Wasserstein divergences are modified versions of quantum Wasserstein distances defined by channels, and they are conjectured to be genuine metrics on quantum state spaces b…