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Quantum Information Processing

Unitary orbit optimization of quantum f-divergence

  • 01-03-2025
Published in:
Authors
Haojian Li
Xiaojing Yan
Published in
Quantum Information Processing | Issue 3/2025

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Abstract

The article delves into the optimization of quantum f-divergence, a crucial measure in quantum information theory, by focusing on unitary orbits. It introduces a new approach to optimize this divergence, demonstrating that the problem reduces to optimizing the hockey-stick divergence. The authors prove that this optimization holds even for mixed unitary orbits, encompassing previous results on Umegaki divergence. The study also highlights open problems and conjectures related to the optimization of Rényi divergence, inviting further research in the field.
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Title
Unitary orbit optimization of quantum f-divergence
Authors
Haojian Li
Xiaojing Yan
Publication date
01-03-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04688-8
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