Superadditivity in trade-off capacities of quantum channels
Author(s)Zhu, Elton; Zhuang, Quntao; Shor, Peter Williston
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In this paper, we investigate the additivity phenomenon in the quantum dynamic capacity region of a quantum channel for trading the resources of classical communication, quantum communication, and entanglement. Understanding such an additivity property is important if we want to optimally use a quantum channel for general communication purposes. However, in a lot of cases, the channel one will be using only has an additive single or double resource capacity region, and it is largely unknown if this could lead to a strictly superadditive double or triple resource capacity region, respectively. For example, if a channel has additive classical and quantum capacities, can the classical-quantum capacity region be strictly superadditive? In this paper, we answer such questions affirmatively. We give proof-of-principle requirements for these channels to exist. In most cases, we can provide an explicit construction of these quantum channels. The existence of these superadditive phenomena is surprising in contrast to the result that the additivity of both classical-entanglement and classical-quantum capacity regions imply the additivity of the triple resource capacity region for a given channel.
DepartmentMassachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Department of Mathematics
IEEE transactions on information theory
Institute of Electrical and Electronics Engineers (IEEE)
Zhu, Elton Yechao et al. “Superadditivity in trade-off capacities of quantum channels.” IEEE transactions on information theory, vol. 65, no. 6, 2019, pp. 3973-3989 © 2019 The Author(s)