Continuous-Variable Quantum Key Distribution - Coherent State Protocols for a Free Space Optical Experiment
Abstract
We test a continuous variable quantum key distribution (CV-QKD) protocol using
coherent states modulated on a 21.1 MHz sideband of a 1550nm fibre laser (Koheras
C15) and demonstrate positive secret keyrates over a lossy channel in a tabletop
experiment. Based on analysis for a GG02 protocol, we estimate a maximum keyrate
with introduced loss of 1.03 +/- 0.17 bits/pulse at 4.5 dB loss on the X quadrature with a
modulation variance of 5.2 SNU and a modulation bandwidth of 500-800 kHz.
We observed positive keyrates at 0dB loss for all modulation bandwidths, with distinct
peaks at lower modulation variances of approximately 0-5 SNU and 30 SNU for most
modulation bandwidths. With introduced loss, the experiment produced positive
keyrates on both quadratures for 500kHz modulation bandwidth at 1.4 dB loss, and on
the X quadrature for 800kHz modulation bandwidth at 4.5 dB loss. Negative but near
zero keyrates were also observed for 600kHz and 1 MHz modulation bandwidths, which
may warrant further investigation using different filtering regimes.
Digital filtering yielded significant improvements, producing both higher overall keyrates
and a much greater number of positive keyrates for filtered versus unfiltered key data.
Additional noise or filtering is needed to consistently produce positive keyrates. We
identified significant noise on the P quadrature, which limits the viability of using this
experiment for a switching protocol. We determined the P quadrature of the laser was
not shot noise limited below 15 MHz, with intermittent noise above this from an
unknown source. Without further reducing the noise on the P quadrature, it will remain a
significant barrier to testing improvements from adaptive optics on this experiment.
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