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Journal of Optics

Implementing quantum key distribution based on coincidence detection captured from two different single photon detection modules

Hawraa Abd Ghanem, Shelan Khasro Tawfeeq

Published Feb 10, 2025• 0 citations
Publisher
DOI
10.1007/s12596-025-02496-y

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This paper proposes a candidate framework for free-space quantum key distribution (QKD) based on geometrical-configuration modulation (GM). In the minimal implementation considered here, Alice coherently splits a single photon emitted from one source into two spatial output modes with a tunable separation, and uses the source separation RRR as the GM variable that defines the prepared single-photon spatial superposition state. Bob records the single-photon detection coordinate in the far field or Fourier plane, providing the correlated data used for soft-input information reconciliation. Based on this physical mechanism, we first establish an R−xR-xR−x protocol model in which the source separation RRR and the single-photon detection coordinate xxx are random variables, and further propose an R−ΔxR-ΔxR−Δx extension based on the difference variable ΔxΔxΔx between adjacent accepted detection events to mitigate slowly varying center drift in free-space links. The framework specifies state preparation, far-field conditional probabilities, soft-input information generation, parameter estimation, reconciliation, and asymptotic candidate key-rate formulas. A complete composable security analysis further requires derive an explicit computable upper bound on Eve's information from experimentally observed parameters, together with finite-key analysis and experimental validation under free-space conditions. The proposed candidate framework (GM-QKD) provides a modulation approach based on spatial degrees of freedom in which the source geometry serves as the modulation variable.
Abstract In theory, quantum key distribution (QKD) provides unconditional security; however, its practical implementations are susceptible to exploitable vulnerabilities. This investigation tackles the constraints in practical QKD implementations using weak coherent pulses. The conventional approach of using decoy pulses is improved by integrating it with the coincidence detection (CD) protocol. Additionally, an easy‐to‐implement technique is employed to compute asymptotic key rates for the protocol secure under specific photon number splitting (PNS) attacks. Furthermore, an experimental implementation of the protocol, where it is demonstrated that monitoring coincidences in the decoy state protocol leads to enhanced key rates under realistic experimental conditions, is carried out.