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Security Bounds for Quantum Cryptography with Finite Resources

  • Conference paper
Theory of Quantum Computation, Communication, and Cryptography (TQC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5106))

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Abstract

A practical quantum key distribution (QKD) protocol necessarily runs in finite time and, hence, only a finite amount of communication is exchanged. This is in contrast to most of the standard results on the security of QKD, which only hold in the limit where the number of transmitted signals approaches infinity. Here, we analyze the security of QKD under the realistic assumption that the amount of communication is finite. At the level of the general formalism, we present new results that help simplifying the actual implementation of QKD protocols: in particular, we show that symmetrization steps, which are required by certain security proofs (e.g., proofs based on de Finetti’s representation theorem), can be omitted in practical implementations. Also, we demonstrate how two-way reconciliation protocols can be taken into account in the security analysis. At the level of numerical estimates, we present the bounds with finite resources for “device-independent security” against collective attacks.

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Author information

Authors and Affiliations

  1. Centre for Quantum Technologies and Department of Physics, National University of Singapore, Singapore

    Valerio Scarani

  2. Institute for Theoretical Physics, ETH Zurich, Switzerland

    Renato Renner

Authors
  1. Valerio Scarani
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  2. Renato Renner
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Editors and Affiliations

  1. NTT Communication Science Laboratories, 3-1, Morinosato Wakamiya, Atsugi-shi, 243-0198, Kanagawa Pref., Japan

    Yasuhito Kawano

  2. Institute for Quantum Computing, University of Waterloo, N2L 3G1, Waterloo, ON, Canada

    Michele Mosca

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Scarani, V., Renner, R. (2008). Security Bounds for Quantum Cryptography with Finite Resources. In: Kawano, Y., Mosca, M. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2008. Lecture Notes in Computer Science, vol 5106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89304-2_8

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  • DOI: https://doi.org/10.1007/978-3-540-89304-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89303-5

  • Online ISBN: 978-3-540-89304-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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