Optimization of quantum divergences between unitary orbits

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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Veröffentlicht in:Quantum information processing 2023-08, Vol.22 (8), Article 314
Hauptverfasser: Vu, The Khoi, Ho, Minh Toan, Le, Cong Trinh, Dinh, Trung Hoa
Format: Artikel
Sprache:eng
Schlagworte:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Zusammenfassung: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