Capacity theorems for covert bosonic channels

Michael S. Bullock; Christos N. Gagatsos; Boulat A. Bash

doi:10.1109/ITW46852.2021.9457618

Capacity theorems for covert bosonic channels

Michael S. Bullock, Christos N. Gagatsos, Boulat A. Bash

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study quantum-secure covert-communication over lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We derive the expressions for the covert capacity of these channels: L_no-EA, when Alice and Bob share only a classical secret, and L_EA, when they benefit from entanglement assistance. Entanglement assistance alters the fundamental scaling law for covert communication. Instead of L_no-EA^√n−r_no-EA (n), r_no-EA (n) = o(√n), entanglement assistance allows L_EA^√n log n − r_EA (n), r_EA (n) = o(√n log n), covert bits to be transmitted reliably over n channel uses. However, noise in entanglement storage erases the log n gain from our achievability; work on the matching converse is ongoing.

Original language	English (US)
Title of host publication	2020 IEEE Information Theory Workshop, ITW 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728159621
DOIs	https://doi.org/10.1109/ITW46852.2021.9457618
State	Published - Apr 11 2021
Event	2020 IEEE Information Theory Workshop, ITW 2020 - Virtual, Riva del Garda, Italy Duration: Apr 11 2021 → Apr 15 2021

Publication series

Name	2020 IEEE Information Theory Workshop, ITW 2020

Conference

Conference	2020 IEEE Information Theory Workshop, ITW 2020
Country/Territory	Italy
City	Virtual, Riva del Garda
Period	4/11/21 → 4/15/21

ASJC Scopus subject areas

Computational Theory and Mathematics
Information Systems
Signal Processing
Software
Theoretical Computer Science

Access to Document

10.1109/ITW46852.2021.9457618

Cite this

Bullock, MS, Gagatsos, CN & Bash, BA 2021, Capacity theorems for covert bosonic channels. in 2020 IEEE Information Theory Workshop, ITW 2020., 9457618, 2020 IEEE Information Theory Workshop, ITW 2020, Institute of Electrical and Electronics Engineers Inc., 2020 IEEE Information Theory Workshop, ITW 2020, Virtual, Riva del Garda, Italy, 4/11/21. https://doi.org/10.1109/ITW46852.2021.9457618

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title = "Capacity theorems for covert bosonic channels",

abstract = "We study quantum-secure covert-communication over lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We derive the expressions for the covert capacity of these channels: Lno-EA, when Alice and Bob share only a classical secret, and LEA, when they benefit from entanglement assistance. Entanglement assistance alters the fundamental scaling law for covert communication. Instead of Lno-EA√n−rno-EA (n), rno-EA (n) = o(√n), entanglement assistance allows LEA√n log n − rEA (n), rEA (n) = o(√n log n), covert bits to be transmitted reliably over n channel uses. However, noise in entanglement storage erases the log n gain from our achievability; work on the matching converse is ongoing.",

author = "Bullock, {Michael S.} and Gagatsos, {Christos N.} and Bash, {Boulat A.}",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 2020 IEEE Information Theory Workshop, ITW 2020 ; Conference date: 11-04-2021 Through 15-04-2021",

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month = apr,

day = "11",

doi = "10.1109/ITW46852.2021.9457618",

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series = "2020 IEEE Information Theory Workshop, ITW 2020",

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AU - Bullock, Michael S.

AU - Gagatsos, Christos N.

AU - Bash, Boulat A.

PY - 2021/4/11

Y1 - 2021/4/11

N2 - We study quantum-secure covert-communication over lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We derive the expressions for the covert capacity of these channels: Lno-EA, when Alice and Bob share only a classical secret, and LEA, when they benefit from entanglement assistance. Entanglement assistance alters the fundamental scaling law for covert communication. Instead of Lno-EA√n−rno-EA (n), rno-EA (n) = o(√n), entanglement assistance allows LEA√n log n − rEA (n), rEA (n) = o(√n log n), covert bits to be transmitted reliably over n channel uses. However, noise in entanglement storage erases the log n gain from our achievability; work on the matching converse is ongoing.

AB - We study quantum-secure covert-communication over lossy thermal-noise bosonic channels, the quantum-mechanical model for many practical channels. We derive the expressions for the covert capacity of these channels: Lno-EA, when Alice and Bob share only a classical secret, and LEA, when they benefit from entanglement assistance. Entanglement assistance alters the fundamental scaling law for covert communication. Instead of Lno-EA√n−rno-EA (n), rno-EA (n) = o(√n), entanglement assistance allows LEA√n log n − rEA (n), rEA (n) = o(√n log n), covert bits to be transmitted reliably over n channel uses. However, noise in entanglement storage erases the log n gain from our achievability; work on the matching converse is ongoing.

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M3 - Conference contribution

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BT - 2020 IEEE Information Theory Workshop, ITW 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2020 IEEE Information Theory Workshop, ITW 2020

Y2 - 11 April 2021 through 15 April 2021

ER -

Capacity theorems for covert bosonic channels

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