2017
DOI: 10.1103/physreva.96.042334
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Abstract: We study the impact of the finite-size effect on the continuous-variable measurement-deviceindependent quantum key distribution (CV-MDI QKD) protocol, mainly considering the finite-size effect on the parameter estimation procedure. The central-limit theorem and maximum likelihood estimation theorem are used to estimate the parameters. We also analyze the relationship between the number of exchanged signals and the optimal modulation variance in the protocol. It is proved that when Charlie's position is close t… Show more

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Cited by 44 publications
(23 citation statements)
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“…In fact, tighter bounds may be obtained following a different approach, for example, by invoking the central limit theorem as in Refs. [26,27].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…In fact, tighter bounds may be obtained following a different approach, for example, by invoking the central limit theorem as in Refs. [26,27].…”
Section: Discussionmentioning
confidence: 99%
“…Unlike other authors [23][24][25], our analysis of parameter estimation under collective Gaussian attacks does not rely on the central limit theorem and is therefore mathematically rigorous in the finite-size setting (see instead Refs. [26,27]for a statistical analysis of parameter estimation in CV MDI QKD that exploits the central limit theorem).…”
Section: Statistical Analysis Of Parameter Estimationmentioning
confidence: 99%
“…The secret key rate of the discrete-modulated underwater CV-QKD protocol against collective attack in the finite-size case can be written as [38][39][40][41]…”
Section: Finite-size Analysismentioning
confidence: 99%
“…[33][34][35] for other studies). Unfortunately, developing a protocol that allows exploitation of the practicality of the CV MDI regime at long distance is a difficult problem in recent QKD theory [36][37][38][39]. A great deal of effort has been directed at improving the performance of this type of protocol, with proposals based on virtual photon subtraction [40,41], unidimensional modulation [42], or discrete modulation [43].…”
Section: Introductionmentioning
confidence: 99%