## Abstract

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)

[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 language | English |
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Publication status | Published - Sept 2023 |

Event | Security Proof Workshop - Institute for Quantum Computing, Waterloo, Canada Duration: 11 Sept 2023 → 13 Sept 2023 |

### Conference

Conference | Security Proof Workshop |
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Country/Territory | Canada |

City | Waterloo |

Period | 11/09/23 → 13/09/23 |

## Research Field

- Enabling Digital Technologies