Quantum Error Correction for Realistic Decoherence Models.

Abstract

Quantum Computing has garnered the attention of the scientific community, due to its revolutionary potential to tackle problems that are infeasible with classical computation. Quantum Error Correction is the field of study in quantum communication that focuses on detecting and correcting errors, caused by decoherence, that corrupt quantum information, in order to make fault-tolerant Quantum Computing feasible. Quantum channels model the effects of decoherence, which, in recent studies, have been proven to be time-variant. Current correction schemes, which were designed considering static decoherence models, under-perform under time-varying noise scenarios. In order to adapt these schemes, it is necessary to correctly estimate the channel error and detect its time variations. With this framework, the goal of this project is to study how to estimate quantum channel error probabilities with its time fluctuations effectively and with minimum delay.