Scalable implementation of $(d+1)$ mutually unbiased bases for $d$-dimensional quantum key distribution

• URL: http://arxiv.org/abs/2204.02691v2
• Date: Fri, 2 Sep 2022 06:20:00 GMT
• Title: Scalable implementation of $(d+1)$ mutually unbiased bases for $d$-dimensional quantum key distribution
• Authors: Takuya Ikuta, Seiseki Akibue, Yuya Yonezu, Toshimori Honjo, Hiroki Takesue, Kyo Inoue
• Abstract summary: A high-dimensional quantum key distribution (QKD) can improve error rate tolerance and the secret key rate. Many $d$-dimensional QKDs have used two mutually unbiased bases (MUBs) We propose a scalable and general implementation of $(d+1)$ MUBs using $log_p d$ interferometers in prime power dimensions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A high-dimensional quantum key distribution (QKD) can improve error rate tolerance and the secret key rate. Many $d$-dimensional QKDs have used two mutually unbiased bases (MUBs), while $(d+1)$ MUBs enable a more robust QKD, especially against correlated errors. However, a scalable implementation has not been achieved because the setups have required $d$ devices even for two MUBs or a flexible convertor for a specific optical mode. Here, we propose a scalable and general implementation of $(d+1)$ MUBs using $\log_p d$ interferometers in prime power dimensions $d=p^N$. We implemented the setup for time-bin states and observed an average error rate of 3.8% for phase bases, which is lower than the 23.17% required for a secure QKD against coherent attack in $d=4$.

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