xQIT W. M. Keck Foundation Center For Extreme Quantum Information Theory at the Massachusetts Institute of Technology
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Jonathan Oppenheim

University of Cambridge

Mutual Independence

November 20, 2008 - 11:40-12:05pm

RLE Conference Center 36-428


After a quick introduction to the core ideas of quantum information theory (or quantum Shannon theory), we turn to one of the simpler open problems -- fully quantum distributed compression. Here, one is interested in the total number of qubits needed to transmit a shared state (between Alice and Bob) to a decoder Charlie. We explain how to solve the problem by introducing the notion of mutual independence -- correlations shared between distant parties which are product with the environment. This notion is more general than the standard notion of quantum privacy. The states which possess mutual independence generalise the so called private states - those that give a private key upon measurement.

Jonathan Oppenheim is a Royal Society University Research Fellow in the Department of Applied Mathematics and Theoretical Physics. He received his Ph.D. under Bill Unruh at the University of British Columbia in 2001. His research interests include quantum information theory, foundations of quantum mechanics, quantum gravity, and black hole thermodynamics.