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arXiv · 1612.05914

Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case

Yongxin Chen·Tryphon T. Georgiou·Allen Tannenbaum
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Abstract

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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Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum. 2016-12-18. Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case. https://arxiv.org/abs/1612.05914

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