Probabilistic Error Cancellation

Probabilistic error cancellation (PEC) is an error mitigation technique in which ideal operations are represented as linear combinations of noisy operations. In PEC, unbiased estimates of expectation values are obtained by Monte Carlo averaging over different noisy circuits (see What is the theory behind PEC? for more information on the theory).

Workflow of the implementation of PEC in Mitiq, further detailed in the What happens when I use PEC? section.

You can read more about PEC in Mitiq in the following sections:

• How do I use PEC?
• When should I use PEC?
• What additional options are available in PEC?
• What happens when I use PEC?
• What is the theory behind PEC?

Here are some tutorials on how to use PEC in Mitiq:

• Learning quasiprobability representations with a depolarizing noise model

• Probabilistic error cancellation (PEC) with Mirror Circuits

You can find many more examples on a variety of error mitigation techniques in the Examples section of the documentation.