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On Hasting's additivity counterexample
Probability| Speaker: | Motohisa Fukuda, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, May 27 2009, 4:10PM |
Description
Hastings recently provided a proof of the existence of channels which
violate the additivity conjecture for minimal output entropy of
quantum channels and then also settled the question of additivity of
Holevo capacity for quantum channels. I.e., the conjecture that the
Holevo capacity should be a single-letter formula for classical
capacity of quantum channels was disproved. In the seminar the main
ideas of his proof are explained.