Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits

Abstract

We propose a new method for implementing mutually unbiased generation and measurement of time-bin qudits using a cascade of electro-optic phase modulator -- coded fiber Bragg grating pairs. Our approach requires only a single spatial mode and can switch rapidly between basis choices. We obtain explicit solutions for dimensions $d=2,3,4$ that realize all $d+1$ possible mutually unbiased bases and analyze the performance of our approach in quantum key distribution. Given its practicality and compatibility with current technology, our approach provides a promising springboard for scalable processing of high-dimensional time-bin states.

11 pages, 12 figures

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• Measuring ultrafast time-bin qudits
• Recent advances in high-dimensional mode-locked quantum frequency combs
• How many mutually unbiased bases are needed to detect bound entangled states?
• Fully tunable and switchable coupler for photonic routing in quantum detection and modulation
• Non-Gaussian photonic state engineering with the quantum frequency processor
• Photonic quantum information with time-bins: Principles and applications