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Isometries of the qubit state space with respect to quantum Wasserstein distances
- Publication Year :
- 2024
-
Abstract
- In this paper we study isometries of quantum Wasserstein distances and divergences on the quantum bit state space. We describe isometries with respect to the symmetric quantum Wasserstein divergence $d_{sym}$, the divergence induced by all of the Pauli matrices. We also give a complete characterization of isometries with respect to $D_z$, the quantum Wasserstein distance corresponding to the single Pauli matrix $\sigma_z$.<br />Comment: 11 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2408.09879
- Document Type :
- Working Paper