[QIP-Sem] QIP seminar, Mon 4/25, 4:00, 36-428, Chris King

[Peter Shor]

MIT Quantum Information Processing seminar
Monday 4/25 at 4:00 in 36-428
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Chris King (Northeastern University)

Properties of typical output states from channels in high dimensions

Abstract:

The concentration of measure phenomenon has been used to analyze typical behavior of high-dimensional random channels, leading to the proof of existence of counterexamples to the additivity conjectures. In this talk another application will be described, concerning the behavior of typical output states from multiple products of a fixed channel, when the number of factors in the product increases. Concentration of measure implies that the output entropy per channel use for typical states will converge to the average output entropy per channel use. Explicit calculations are shown for some classes of examples, and the relation to entanglement of typical output states is also discussed. 

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