Bounding Dimensions by Statistical Testing

Florian Peter Kanitschar

Bounding Dimensions by Statistical Testing

Florian Peter Kanitschar (Speaker)

Research output: Poster presentation without proceedings

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)

Original language	English
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
Country/Territory	Canada
City	Waterloo
Period	11/09/23 → 13/09/23

Research Field

Former Research Field - Enabling Digital Technologies

Cite this

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title = "Bounding Dimensions by Statistical Testing",

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. L{\"u}tkenhaus, PRX Quantum 4, 040306 (2023)",

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A2 - Kanitschar, Florian Peter

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N2 - 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)

AB - 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)

M3 - Poster presentation without proceedings

T2 - Security Proof Workshop

Y2 - 11 September 2023 through 13 September 2023

ER -

Bounding Dimensions by Statistical Testing

Abstract

Conference

Research Field

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Cite this