Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case
Functional Analysis
2017-01-17 v2
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.
Keywords
Cite
@article{arxiv.1612.05914,
title = {Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case},
author = {Yongxin Chen and Tryphon T. Georgiou and Allen Tannenbaum},
journal= {arXiv preprint arXiv:1612.05914},
year = {2017}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1610.03041