Covert Quantum Communication Over Optical Channels

Fuente: arXiv
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Autores principales: Anderson, Evan J. D., Eyre, Christopher K., Dailey, Isabel M., Rozpędek, Filip, Bash, Boulat A.
Formato: Preprint
Publicado: 2024
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author Anderson, Evan J. D.
Eyre, Christopher K.
Dailey, Isabel M.
Rozpędek, Filip
Bash, Boulat A.
author_facet Anderson, Evan J. D.
Eyre, Christopher K.
Dailey, Isabel M.
Rozpędek, Filip
Bash, Boulat A.
contents We explore covert communication of qubits over the lossy thermal-noise bosonic channel, which is a quantum-mechanical model of many practical channels, including optical. Covert communication ensures that an adversary is unable to detect the presence of transmissions, which are concealed in channel noise. We show a \emph{square root law} (SRL) for quantum covert communication similar to that for classical: $\propto\sqrt{n}$ qubits can be transmitted covertly and reliably over $n$ uses of an optical channel. Our achievability proof uses photonic dual-rail qubit encoding, which has been proposed for long-range repeater-based quantum communication and entanglement distribution. Our converse employs prior covert signal power limit results and adapts well-known methods to upper bound quantum capacity of optical channels. Finally, we believe that the gap between our lower and upper bounds for the number of reliable covert qubits can be mitigated by improving the quantum error correction codes and quantum channel capacity bounds.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06764
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Covert Quantum Communication Over Optical Channels
Anderson, Evan J. D.
Eyre, Christopher K.
Dailey, Isabel M.
Rozpędek, Filip
Bash, Boulat A.
Quantum Physics
We explore covert communication of qubits over the lossy thermal-noise bosonic channel, which is a quantum-mechanical model of many practical channels, including optical. Covert communication ensures that an adversary is unable to detect the presence of transmissions, which are concealed in channel noise. We show a \emph{square root law} (SRL) for quantum covert communication similar to that for classical: $\propto\sqrt{n}$ qubits can be transmitted covertly and reliably over $n$ uses of an optical channel. Our achievability proof uses photonic dual-rail qubit encoding, which has been proposed for long-range repeater-based quantum communication and entanglement distribution. Our converse employs prior covert signal power limit results and adapts well-known methods to upper bound quantum capacity of optical channels. Finally, we believe that the gap between our lower and upper bounds for the number of reliable covert qubits can be mitigated by improving the quantum error correction codes and quantum channel capacity bounds.
title Covert Quantum Communication Over Optical Channels
topic Quantum Physics
url https://arxiv.org/abs/2401.06764