Bounding Dimensions by Statistical Testing

Research output: Poster presentation without proceedings


Quantum Key Distribution Protocols using continuous variables are mathematically described in infinite-dimensional Hilbert spaces. This makes security analyses, in particular recent numerical methocs difficult and necessitates techniques that allow to restrict considerations to an appropriate finite-dimensional subspace. We present a method that allows to bound the weight of infinite-dimensional quantum states outside a finite-dimensional cutoff space, based on statistical tests. This allows to rigorously prove security of DM CV-QKD protocols against collective attacks in the finite-size regime. This talk is based on recent work [1].

[1] "Finite-Size Security for Discrete-Modulated Continuous-Variable Quantum Key Distribution Protocols", F. Kanitschar, I. George, J. Lin, T. Upadhyaya and N. Lütkenhaus, PRX Quantum 4, 040306 (2023)
Original languageEnglish
Publication statusPublished - Sept 2023
EventSecurity Proof Workshop - Institute for Quantum Computing, Waterloo, Canada
Duration: 11 Sept 202313 Sept 2023


ConferenceSecurity Proof Workshop

Research Field

  • Enabling Digital Technologies


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