Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.5039796
Title: On the near-optimality of one-shot classical communication over quantum channels
Authors: Anshu, Anurag
RAHUL JAIN 
NAQUEEB AHMAD WARSI 
Keywords: Science & Technology
Physical Sciences
Physics, Mathematical
Physics
ENTANGLEMENT-ASSISTED CAPACITY
CONVERSE BOUNDS
CODING THEOREM
Issue Date: 1-Jan-2019
Publisher: AMER INST PHYSICS
Citation: Anshu, Anurag, RAHUL JAIN, NAQUEEB AHMAD WARSI (2019-01-01). On the near-optimality of one-shot classical communication over quantum channels. JOURNAL OF MATHEMATICAL PHYSICS 60 (1) : 012204. ScholarBank@NUS Repository. https://doi.org/10.1063/1.5039796
Abstract: © 2019 Author(s). We study the problem of transmission of classical messages through a quantum channel in several network scenarios in the one-shot setting. We consider both the entanglement assisted and unassisted cases for the point to point quantum channel, the quantum multiple-access channel, the quantum channel with a state, and the quantum broadcast channel. We show that it is possible to near-optimally characterize the amount of communication that can be transmitted in these scenarios, using the position-based decoding strategy introduced in a prior study (A. Anshu, R. Jain, and N. Warsi, https://ieee.org/document/8399830). In the process, we provide a short and elementary proof of the converse for entanglement-assisted quantum channel coding in terms of the quantum hypothesis testing divergence [obtained earlier in the work of W. Matthews and S. Wehner, IEEE Trans. Inf. Theory 60, 7317-7329 (2014)]. Our proof has the additional utility that it naturally extends to various network scenarios mentioned above. Furthermore, none of our achievability results require a simultaneous decoding strategy, existence of which is an important open question in quantum Shannon theory.
Source Title: JOURNAL OF MATHEMATICAL PHYSICS
URI: https://scholarbank.nus.edu.sg/handle/10635/159545
ISSN: 0022-2488
1089-7658
DOI: 10.1063/1.5039796
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