Secure quantum key distribution using squeezed states

Daniel Gottesman and John Preskill
Phys. Rev. A 63, 022309 – Published 18 January 2001
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Abstract

We prove the security of a quantum key distribution scheme based on transmission of squeezed quantum states of a harmonic oscillator. Our proof employs quantum error-correcting codes that encode a finite-dimensional quantum system in the infinite-dimensional Hilbert space of an oscillator, and protect against errors that shift the canonical variables p and q. If the noise in the quantum channel is weak, squeezing signal states by 2.51 dB (a squeeze factor er=1.34) is sufficient in principle to ensure the security of a protocol that is suitably enhanced by classical error correction and privacy amplification. Secure key distribution can be achieved over distances comparable to the attenuation length of the quantum channel.

  • Received 10 August 2000

DOI:https://doi.org/10.1103/PhysRevA.63.022309

©2001 American Physical Society

Authors & Affiliations

Daniel Gottesman1 and John Preskill2,*

  • 1Microsoft Corporation, One Microsoft Way, Redmond, Washington 98052
  • 2California Institute of Technology, Pasadena, California 91125

  • *Email address: preskill@theory.caltech.edu

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Vol. 63, Iss. 2 — February 2001

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