From Event: SPIE Optical Engineering + Applications, 2017
This paper is focused on the problem of Information Reconciliation (IR) for continuous variable Quantum Key Distribution
(QKD). The main problem is quantization and assignment of labels to the samples of the Gaussian variables observed at
Alice and Bob. Trouble is that most of the samples, assuming that the Gaussian variable is zero mean which is de-facto
the case, tend to have small magnitudes and are easily disturbed by noise. Transmission over longer and longer distances
increases the losses corresponding to a lower effective Signal to Noise Ratio (SNR) exasperating the problem. Here we
propose to use Permutation Modulation (PM) as a means of quantization of Gaussian vectors at Alice and Bob over a
d-dimensional space with d ≫ 1. The goal is to achieve the necessary coding efficiency to extend the achievable range of
continuous variable QKD by quantizing over larger and larger dimensions. Fractional bit rate per sample is easily achieved
using PM at very reasonable computational cost. Ordered statistics is used extensively throughout the development from
generation of the seed vector in PM to analysis of error rates associated with the signs of the Gaussian samples at Alice
and Bob as a function of the magnitude of the observed samples at Bob.
Fred Daneshgaran, Marina Mondin, and Khashayar Olia, "Permutation modulation for quantization and information reconciliation in CV-QKD systems," Proc. SPIE 10409, Quantum Communications and Quantum Imaging XV, 104090J (Presented at SPIE Optical Engineering + Applications: August 06, 2017; Published: 30 August 2017); https://doi.org/10.1117/12.2275339.
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