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quant-ph2026
Relations between different definitions of the quantum Wasserstein distance for qubits
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.…
quant-ph2026
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…
quant-ph2026
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…