Multidimensional reconciliation for continuous-variable quantum key distribution

Abstract

We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and homodyne detection. The crucial feature is an eight-dimensional reconciliation method, based on the algebraic properties of octonions. Since the protocol does not use any postselection, it can be proven secure against arbitrary collective attacks, by using well-established theorems on the optimality of Gaussian attacks. By using this new coding scheme with an appropriate signal to noise ratio, the distance for secure continuous-variable quantum key distribution can be significantly extended.

8 pages, 3 figures

References in corpus (4)

• Unconditional optimality of Gaussian attacks against continuous-variable QKD
• Quantum key distribution over 25 km with an all-fiber continuous-variable system
• Optimality of Gaussian Attacks in Continuous Variable Quantum Cryptography
• Security of coherent state quantum cryptography in the presence of Gaussian noise

Cited by in corpus (4)

• Improvement of continuous-variable quantum key distribution systems by using optical preamplifiers
• Field test of a continuous-variable quantum key distribution prototype
• Quaternions, octonions and Bell-type inequalities
• Problems in application of LDPC codes to information reconciliation in quantum key distribution protocols