Information transmission with continuous variable quantum erasure channels

Zhong, Changchun; Oh, Changhun; Jiang, Liang

doi:10.22331/q-2023-03-06-939

Information transmission with continuous variable quantum erasure channels

Journal Article · Mon Mar 06 00:00:00 EST 2023 · Quantum

DOI:https://doi.org/10.22331/q-2023-03-06-939· OSTI ID:2423788

Zhong, Changchun ^[1]; Oh, Changhun ^[1]; Jiang, Liang ^[1]

University of Chicago, IL (United States). Pritzker School of Molecular Engineering

Quantum capacity, as the key figure of merit for a given quantum channel, upper bounds the channel's ability in transmitting quantum information. Identifying different types of channels, evaluating the corresponding quantum capacity, and finding the capacity-approaching coding scheme are the major tasks in quantum communication theory. Quantum channel in discrete variables has been discussed enormously based on various error models, while error model in the continuous variable channel has been less studied due to the infinite dimensional problem. In this paper, we investigate a general continuous variable quantum erasure channel. By defining an effective subspace of the continuous variable system, we find a continuous variable random coding model. We then derive the quantum capacity of the continuous variable erasure channel in the framework of decoupling theory. The discussion in this paper fills the gap of a quantum erasure channel in continuous variable setting and sheds light on the understanding of other types of continuous variable quantum channels.

View Accepted Manuscript (DOE)

Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). Next Generation Quantum Science and Engineering (Q-NEXT)

Sponsoring Organization:: USDOE; US Army Research Office (ARO); US Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF); David and Lucile Packard Foundation

Grant/Contract Number:: AC02-06CH11357; W911NF-18-1-0020; W911NF-18-1-0212; W911NF-16-1-0349; W911NF-21-1-0325; FA9550-19-1-0399; FA9550-21-1-0209; FA8649-21-P-0781; OMA-1936118; EEC-1941583; OMA-2137642; 2020-71479

OSTI ID:: 2423788

Journal Information:: Quantum, Vol. 7; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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