IQC-QuICS Math and Computer Science Seminar
Random quantum circuits transform local noise into global white noise
Alexander Dalzell, Caltech/AWS
We examine the distribution over measurement outcomes of noisy random quantum circuits in the low-fidelity regime. We will show that, for local noise that is sufficiently weak and unital, the output distribution p_noisy of typical circuits can be approximated by F*p_ideal + (1−F)*p_unif, where F is the probability that no local errors occur, p_ideal is the distribution that would arise if there were no errors, and p_unif is the uniform distribution.