Julián Agredo

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In this paper we define a distance W between states in the non-commutative von Neumann algebra B(h) of bounded operators on a separable Hilbert space h, in order to measure deviations from equilibrium using a rate epW ( · ). The restriction of W to the diagonal subalgebra of B(h) coincides with the Wasserstein distance used in optimal transport. Moreover,(More)
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