Measuring Quantum Information Leakage Under Detection Threat

Fuente: arXiv
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Main Authors: Farokhi, Farhad, Kim, Sejeong
Format: Preprint
Published: 2024
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author Farokhi, Farhad
Kim, Sejeong
author_facet Farokhi, Farhad
Kim, Sejeong
contents Gentle quantum leakage is proposed as a measure of information leakage to arbitrary eavesdroppers that aim to avoid detection. Gentle (also sometimes referred to as weak or non-demolition) measurements are used to encode the desire of the eavesdropper to evade detection. The gentle quantum leakage meets important axioms proposed for measures of information leakage including positivity, independence, and unitary invariance. Global depolarizing noise, an important family of physical noise in quantum devices, is shown to reduce gentle quantum leakage (and hence can be used as a mechanism to ensure privacy or security). A lower bound for the gentle quantum leakage based on asymmetric approximate cloning is presented. This lower bound relates information leakage to mutual incompatibility of quantum states. A numerical example, based on the encoding in the celebrated BB84 quantum key distribution algorithm, is used to demonstrate the results.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11433
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Measuring Quantum Information Leakage Under Detection Threat
Farokhi, Farhad
Kim, Sejeong
Quantum Physics
Cryptography and Security
Information Theory
Systems and Control
Gentle quantum leakage is proposed as a measure of information leakage to arbitrary eavesdroppers that aim to avoid detection. Gentle (also sometimes referred to as weak or non-demolition) measurements are used to encode the desire of the eavesdropper to evade detection. The gentle quantum leakage meets important axioms proposed for measures of information leakage including positivity, independence, and unitary invariance. Global depolarizing noise, an important family of physical noise in quantum devices, is shown to reduce gentle quantum leakage (and hence can be used as a mechanism to ensure privacy or security). A lower bound for the gentle quantum leakage based on asymmetric approximate cloning is presented. This lower bound relates information leakage to mutual incompatibility of quantum states. A numerical example, based on the encoding in the celebrated BB84 quantum key distribution algorithm, is used to demonstrate the results.
title Measuring Quantum Information Leakage Under Detection Threat
topic Quantum Physics
Cryptography and Security
Information Theory
Systems and Control
url https://arxiv.org/abs/2403.11433