Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key
Distribution Protocol
- URL: http://arxiv.org/abs/2208.03548v1
- Date: Sat, 6 Aug 2022 17:28:54 GMT
- Title: Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key
Distribution Protocol
- Authors: Hasnaa Hajji, Morad El Baz
- Abstract summary: Semi-quantum key distribution is traditionally based on two-level quantum systems.
We first consider the three dimensional case using three and four mutually unbiased bases.
We then generalize the result to a semi-quantum key distribution protocol that employs different number of mutually unbiased bases for four-dimensional states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Semi-quantum key distribution is traditionally based on two-level quantum
systems. In this paper, an unconditional security of a semi quantum key
distribution protocol based on higher-dimensional systems using various
mutually unbiased bases is presented. We first consider the three dimensional
case using three and four mutually unbiased bases and derive a lower bound for
the key rate as a function of the quantum channel's noise. We then generalize
the result to a semi-quantum key distribution protocol that employs different
number of mutually unbiased bases for four-dimensional states. It is found that
basing the semi-quantum key distribution protocol on higher-dimensional
mutually unbiased bases can increase the tolerable threshold of the noise and
the maximum achievable value of the secret key rate.
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