Journal
ADVANCES IN MATHEMATICS
Volume 380, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2021.107595
Keywords
Quantum Jensen-Shannon divergence; Metric property
Categories
Funding
- European Union [846294]
- Hungarian National Research, Development and Innovation Office (NKFIH) [K124152, KH129601]
- Marie Curie Actions (MSCA) [846294] Funding Source: Marie Curie Actions (MSCA)
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The note proves that the square root of the quantum Jensen-Shannon divergence is a true metric on the cone of positive matrices, including the quantum state space.
In this short note, we prove that the square root of the quantum Jensen-Shannon divergence is a true metric on the cone of positive matrices, and hence in particular on the quantum state space. (C) 2021 Elsevier Inc. All rights reserved.
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