Optimization of quantum divergences between unitary orbits

We find explicitly the extremum values of the generalized quantum Hellinger divergences, the quantum Jensen–Shannon divergences, the traces of the weighted geometric means and weighted spectral geometric means between unitary orbits. Our tools are majorization theory of eigenvalues of matrices, inte...

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Bibliographic Details
Published inQuantum information processing Vol. 22; no. 8
Main Authors Vu, The Khoi, Ho, Minh Toan, Le, Cong Trinh, Dinh, Trung Hoa
Format Journal Article
LanguageEnglish
Published New York Springer US 17.08.2023
Subjects
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Quantum divergence
Fidelity
Hellinger distance
Unitary orbit
Kubo–Ando mean
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Summary:We find explicitly the extremum values of the generalized quantum Hellinger divergences, the quantum Jensen–Shannon divergences, the traces of the weighted geometric means and weighted spectral geometric means between unitary orbits. Our tools are majorization theory of eigenvalues of matrices, integral representation of Kubo–Ando means and Fiedler’s lemma.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-023-04073-3