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Add an example in which a two-qubit gate error is empirically estimated for implementing PEC

Open andreamari opened this issue 2 years ago • 0 comments

Issue Description

PEC requires the knowledge of the noise model, or at least a simplified approximation of it. A crude approximation is assuming that noise is dominant for two-qubit gates and that it can be approximated by a depolarizing channel. Even this crude approximation, still requires knowing at least the size of a real parameter: the two-qubit gate error.

This parameter could be deduced from the hardware properties as suggested in #1400 . Alternatively, it would be nice to show a more empirical method in which one can estimate such two-qubit error probability.

Proposed Solution

A brute force method could be performing a gate tomography. However, it would be nice to show a simpler empirical way.

E.g. Evaluating the survival probability for circuits like (CNOT CNOT)^n, fitting an exponential decay, deducing the two-qubit gate error from the exponent of the exponential decay.

More advanced or more rigorous ways are welcome, as long as they are not too involved to implement in practice.

andreamari avatar Jul 25 '22 09:07 andreamari