Superadditivity in trade-off capacities of quantum channels
Name
1708.04314.pdf
Description
Submitted version
Size
403.71 KB
Format
Adobe PDF
Checksum (MD5)
ea67f23c29b5324db953a417af6c48e7
Author(s)
Zhu, Elton
Zhuang, Quntao
Shor, Peter Williston
Date Issued
June 2019
Journal
IEEE transactions on information theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
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)
Version
Original manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/TIT.2018.2889082
