Experimental quantum error correction with binomial bosonic codes*

Quantum error correction (QEC) is necessary for a practical quantum computer because of the fragile nature of quantum information. A measurement-based QEC requires rapid extraction of error syndromes without perturbing the encoded information and fast feedback control to correct the detected errors. Encoding quantum information on photonic states in a microwave cavity for QEC has attracted a lot of interests. This scheme benefits from the infinite dimensional Hilbert space of a harmonic oscillator for redundant information encoding and only one error syndrome that needs to be monitored, thus greatly reducing the requirements on hardware. In this talk, I will discuss our recent experimental efforts [1] toward both the repetitive QEC using a binomial bosonic code in a circuit quantum electrodynamics architecture and full control on the logical qubit. The demonstrated binomial bosonic codes promise the realization of QEC-enhanced precision measurements and quantum communications, and could also be further explored for fault-tolerant quantum computation.
[1] arXiv:1805.09072