Imperfect Phase-Randomisation and Generalised Decoy-State Quantum Key Distribution

Fuente: arXiv
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Autori principali: Nahar, Shlok, Upadhyaya, Twesh, Lütkenhaus, Norbert
Natura: Preprint
Pubblicazione: 2023
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author Nahar, Shlok
Upadhyaya, Twesh
Lütkenhaus, Norbert
author_facet Nahar, Shlok
Upadhyaya, Twesh
Lütkenhaus, Norbert
contents Decoy-state methods [1-3] are essential to perform quantum key distribution (QKD) at large distances in the absence of single photon sources. However, the standard techniques apply only if laser pulses are used that are independent and identically distributed (iid). Moreover, they require that the laser pulses are fully phase-randomised. However, realistic high-speed QKD setups do not meet these stringent requirements [4]. In this work, we generalise decoy-state analysis to accommodate laser sources that emit imperfectly phase-randomised states. We also develop theoretical tools to prove the security of protocols with lasers that emit pulses that are independent, but not identically distributed. These tools can be used with recent work [5] to prove the security of laser sources with correlated phase distributions as well. We quantitatively demonstrate the effect of imperfect phase-randomisation on key rates by computing the key rates for a simple implementation of the three-state protocol.
format Preprint
id arxiv_https___arxiv_org_abs_2304_09401
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Imperfect Phase-Randomisation and Generalised Decoy-State Quantum Key Distribution
Nahar, Shlok
Upadhyaya, Twesh
Lütkenhaus, Norbert
Quantum Physics
Decoy-state methods [1-3] are essential to perform quantum key distribution (QKD) at large distances in the absence of single photon sources. However, the standard techniques apply only if laser pulses are used that are independent and identically distributed (iid). Moreover, they require that the laser pulses are fully phase-randomised. However, realistic high-speed QKD setups do not meet these stringent requirements [4]. In this work, we generalise decoy-state analysis to accommodate laser sources that emit imperfectly phase-randomised states. We also develop theoretical tools to prove the security of protocols with lasers that emit pulses that are independent, but not identically distributed. These tools can be used with recent work [5] to prove the security of laser sources with correlated phase distributions as well. We quantitatively demonstrate the effect of imperfect phase-randomisation on key rates by computing the key rates for a simple implementation of the three-state protocol.
title Imperfect Phase-Randomisation and Generalised Decoy-State Quantum Key Distribution
topic Quantum Physics
url https://arxiv.org/abs/2304.09401