Abstract

In this paper, we put forward a new approach towards realizing measurement-device-independent quantum key distribution with passive heralded single-photon sources. In this approach, both Alice and Bob prepare the parametric down-conversion source, where the heralding photons are labeled according to different types of clicks from the local detectors, and the heralded ones can correspondingly be marked with different tags at the receiver’s side. Then one can obtain four sets of data through using only one-intensity of pump light by observing different kinds of clicks of local detectors. By employing the newest formulae to do parameter estimation, we could achieve very precise prediction for the two-single-photon pulse contribution. Furthermore, by carrying out corresponding numerical simulations, we compare the new method with other practical schemes of measurement-device-independent quantum key distribution. We demonstrate that our new proposed passive scheme can exhibit remarkable improvement over the conventional three-intensity decoy-state measurement-device-independent quantum key distribution with either heralded single-photon sources or weak coherent sources. Besides, it does not need intensity modulation and can thus diminish source-error defects existing in several other active decoy-state methods. Therefore, if taking intensity modulating errors into account, our new method will show even more brilliant performance.

Highlights

  • Into different species, so that we can possess many input parameters and carry out very accurate estimations for the two-single-photon pulse contributions

  • The paper is organized as follow: At the beginning, we present the core idea on how to generate the passive heralded single-photon sources; Second, we propose to implement the passive heralded single-photon sources into the MDI-quantum key distribution (QKD); Third, we carry out corresponding numerical simulations and compare its performance with other often used decoy-state proposals, e.g., the standard three-intensity decoy-state measurement-device-independent quantum-key-distribution (MDI-QKD) using either the heralded-single photon sources (HSPS) or the weak coherent sources (WCS)

  • The two-mode sentIsnamn ons-tpfhoortmonerstHatSeP, SPns(cμh)em=esnμ,n!teh−eμ,idanledr field can be written as: Ψ IS = ∑∞n=0 Pn n I μ is the average photon number per time slot. mode is often locally detected with a photon n S, where |n〉reprediode at the sender’s side, and the signal mode is encoded with useful information and sent to the receiver through the quantum channel

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Summary

Now with the

We will denote the above X1, X2 and X3 events as the x, y and z state respectively. In the photon-number space, we have ρξ = ∑nPnξ n n , with Pnξ = f n Pxi n, (ξ =x, y, z). According to Eqs [1,2,3,4,5], we get the simplified photon-number distribution for the x, y and z state as. For simplicity we have assumed that all the local detectors have the same dark count rate, i.e., di = d.

Pnz Pn y
Below we define
Numerical simulation
Conclusion
Findings
Additional Information
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