Secure quantum key distribution using squeezed states

Details Secure quantum key distribution using squeezed states Secure quantum key distribution using squeezed states

2000-08-09

arxiv.org/abs/quant-ph/0008046v2

Phys.Rev. A63 (2001) 022309

Physics

Quantum Physics

19 pages, 3 figures, RevTeX and epsf, new section on channel losses

Scientific paper

10.1103/PhysRevA.63.022309

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 e^r=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.

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