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math-ph2022★ 9 cited
Quantum Wasserstein isometries on the qubit state space
György Pál Gehér, József Pitrik, Tamás Titkos +1
We describe Wasserstein isometries of the quantum bit state space with respect to distinguished cost operators. We derive a Wigner-type result for the cost operator involving all t…
math.MG2022★ 10 cited
Isometric rigidity of Wasserstein tori and spheres
György Pál Gehér, Tamás Titkos, Dániel Virosztek
We prove isometric rigidity for -Wasserstein spaces over finite-dimensional tori and spheres for all . We present a unified approach to proving rigidity that relies on the ro…