A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy

DOI10.1080/03081087.2015.1057098zbMath1337.81019arXiv1409.3688OpenAlexW1871021964WikidataQ62037110 ScholiaQ62037110MaRDI QIDQ2805664

Junde Wu, Kaifeng Bu, Lin Zhang

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3688

zbMATH Keywords

quantum fidelity\(\max\)-relative entropyFuchs-van de Graaf's inequalitiestracenorm

Mathematics Subject Classification ID

Quantum computation (81P68) Measures of information, entropy (94A17) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

Fidelity of two positive trace-class operators

Cites Work

• The transition probability in the state space of a \(^*\)-algebra
• Transition probability (fidelity) and its relatives
• Quantum skew divergence
• Quantum Computation and Quantum Information
• Telescopic Relative Entropy
• Quantifying Entanglement
• Min- and Max-Relative Entropies and a New Entanglement Monotone