Entropy contraction of GNS-symmetric quantum channels

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• Li Gao, Wuhan University
• Monday 09 December 2024, 14:00-15:00
• MR19.

If you have a question about this talk, please contact Subhayan Roy Moulik.

Quantum relative entropy is a fundamental measure in quantum information theory. The key property behind its wide applications is the monotonicity over quantum channels, called data processing inequality. In this talk, I will present an improved data processing inequality that relative entropy becomes strictly smaller for GNS symmetric quantum channel. As an application, this gives a tight relative entropy decay rate of quantum Markov semigroups. This talk is based on a joint work with Marius Junge, Nicholas LaRacuente and Haojian Li.

This talk is part of the CQIF Seminar series.

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