Hi Everybody,
Happy new year! David Sutter and Philipp Kammerlander (ETH Zurich) are visiting us this
week (Tuesday to Friday). Please let me know if you want to schedule a meeting. David is
giving a talk tomorrow. Please find details below. I will announce Philipp’s talk
(happening on Thursday) in a separate email.
Best,
cyril
--
Title: Relative entropy, recovery maps, and approximate quantum Markov chains
Place: 6C-442
Time: 1:30 (Jan 5)
Abstract: The Shannon and von Neumann entropies quantify the uncertainty in a system. They
are operationally motivated by natural information processing tasks such as compression,
channel coding or randomness extraction. A mathematical consequence of the postulates of
quantum physics are several entropy inequalities such as the strong subadditivity of
quantum entropy and the monotonicity of quantum relative entropy under physical processes.
A series of recent works showed that these inequalities can be strengthened in the context
of recoverability, i.e., by considering the question of how well a physical process can be
reversed. This also provides an operational definition of approximate quantum Markov
chains. In this talk, I will give an overview about the recent works on recoverability,
present some new results, and discuss open problems. Based on joint work with Omar Fawzi,
Aram Harrow, Marius Junge, Renato Renner, Marco Tomamichel, Mark M. Wilde, and Andreas
Winter (arXiv:1504.07251, arXiv:1507.00303, and arXiv:1509.07127).
--
Cyril Stark
Center for Theoretical Physics
Massachusetts Institute of Technology
77 Massachusetts Ave, 6-304
Cambridge, MA 02139, USA
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