Quantum privacy: introducing mutual independence
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If you have a question about this talk, please contact Lawrence Ioannou.
We introduce the concept of mutual independence—correlations shared
between distant parties which are independent of the environment. This
notion is more general than the standard idea of a secret key—it is a
fully quantum and more general form of privacy. The states which possess
mutual independence also generalize the so called private states—
those that possess private key. We then show that the problem of
distributed compression of quantum information can be solved in terms of
mutual independence. We suspect that mutual independence is a highly
singular quantity, i.e. that it is positive only on a set of measure
zero; furthermore, we believe that its presence is seen on the single
copy level. This appears to be born out in the classical case.
This talk is part of the CQIF Seminar series.
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