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On Hasting's additivity counterexample

Mathematical Physics & Probability

Speaker: Motohisa Fukuda, UC Davis
Location: 2112 MSB
Start time: Wed, May 27 2009, 4:10PM

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.