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quant-ph2022★ 11 cited
Quantum Wasserstein distance based on an optimization over separable states
Géza Tóth, József Pitrik
We define the quantum Wasserstein distance such that the optimization of the coupling is carried out over bipartite separable states rather than bipartite quantum states in general…
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…