Ryszard Kukulski(The Silesian University of Technology): Application of probabilistic quantum error correction for general noise 

Chaos and quantum chaos seminar at the Institute of Physics, Jagiellonian University.

Probabilistic quantum error correction (pQEC) is an error-correcting procedure which uses postselection to determine if the encoded information was successfully restored. In this talk, I will show an application of pQEC for various types of noise channels, e.g. Schur channels, channels with bounded Choi rank and random channels. I will present how to correct errors caused by an arbitrary unitary interaction with an auxiliary qubit system. Finally, I will discuss the optimization problem related with pQEC procedure.