中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Prof. Runyao Duan （University of Technology, Sydney, Australia）
题 目：Activated zero-error classical capacity of quantum channels in the presence of quantum no-signalling correlations
时 间：03.25 (星期五), 09:00--10:00
地 点：数学院南楼N913室
Abstract：
Recently the one-shot quantum no-signalling assisted zero-error classical capacity of a quantum channel was formulated as a semidefinite programming (SDP) depending only on the Choi-Kraus operator space of the channel [Duan and Winter,2014]. In this talk we further study the activated quantum no-signalling assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper. We show that the one-shot activated capacity can also be formulated as a SDP and derive a number of striking properties of this number. In particular, this number is additive under direct sum, and is always greater than or equal to the super-dense coding bound. As a remarkable consequence, we find that one bit noiseless classical communication is able to fully activate any classical-quantum channel to achieve its asymptotic capacity.
