24 citations · 84 across the 14 of their papers we have counts for
5 papers · 1 filter
Relations between different definitions of the quantum Wasserstein distance
Géza Tóth, József Pitrik
The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function.…
General method for obtaining the energy minimum of spin Hamiltonians for separable states
Géza Tóth, József Pitrik
We present a general method to determine the energy minimum of spin Hamiltonians over separable states when the single-particle reduced density matrices are fixed. For ferromagneti…
Quantum Wasserstein distance and its relation to several types of fidelities
Géza Tóth, József Pitrik
We consider several definitions of the quantum Wasserstein distance based on an optimization over general bipartite quantum states with given marginals. Then, we examine the quanti…
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…
Markov triplets on CCR-algebras
Anna Jencova, Denes Petz, Jozsef Pitrik
The paper contains a detailed computation about the algebra of canonical commutation relation, the representation of the Weyl unitaries, the quasi-free states and their von Neumann…