Quantum error correction with higher Gottesman-Kitaev-Preskill codes: Minimal measurements and linear optics

Abstract

With a focus on fault tolerance, the authors propose multiple schemes to diagnose errors, or obtain syndrome information, in quantum error-correction codes. They show that when GKP codes are concatenated with a stabilizer code, the number of measurements needed to make a full error diagnosis is lower than previously thought. Their methods use simple linear optical operations combined with ``off-line'' squeezing, rather than the noisy in-line squeezing required by previous schemes.

Topics & Concepts