Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case
classification
🧮 math.FA
keywords
densityinterpolationmatricesmatrix-valuedmeasuresmechanicalquantumunbalanced
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In this note, we propose an unbalanced version of the quantum mechanical version of optimal mass transport that was based on the Lindblad equation. We formulate a natural interpolation framework between density matrices and matrix-valued measures via a quantum mechanical formulation of Fisher-Rao information and the matricial Wasserstein distance.
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