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| Title: | OPTIMAL DECOUPLING | |
| DOI No: | 10.1142/9789814304634_0047 | |
| Source: | XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS (pp 541-545) | |
| Author(s): | RENATO RENNER
Institute for Theoretical Physics, ETH Zurich, Switzerland |
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| Abstract: | Given a bipartite quantum system with parts A and R, we say that a mapping  applied to A decouples A from R if the outcome of  is uncorrelated to R. The notion of decoupling plays a crucial role in various information-theoretic arguments and is also used for foundational considerations in the context of statistical mechanics.Here, we consider decoupling operations  which take the form of projective measurements. We review a recent result which shows that a randomly chosen projective measurement achieves decoupling if and only if a certain entropic quantity, called smooth entropy, is sufficiently large. Furthermore, the random choice is almost always optimal. |
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| Keywords: | Quantum information theory; state merging; smooth entropies; decoupling |
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| Full Text: | View full text in PDF format (260KB) | |
| TOC: | Back to Table of Contents | |
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