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Published February 1, 2001 | public
Journal Article Open

Secure quantum key distribution using squeezed states

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.

Additional Information

©2001 The American Physical Society Received 10 August 2000; published 18 January 2001 We thank Andrew Doherty, Steven van Enk, Jim Harrington, Jeff Kimble, and especially Hoi-Kwong Lo for useful discussions and comments. This work has been supported in part by the Department of Energy under Grant No. DEFG03-92-ER40701, and by DARPA through the Quantum Information and Computation (QUIC) project administered by the Army Research Office under Grant No. DAAH04-96-1-0386. Some of this work was done at the Aspen Center for Physics.

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August 21, 2023
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