Title:Â Spacetime codes of Cliffords circuits Speaker:Â Â Nicolas Delfosse (IonQ) Time:Â Â Thursday, March 28, 2024 - 3:30pm Location:Â Â ATL 3100A and Virtual Via Zoom: https://umd.zoom.us/j/96213063691?pwd=YjRBemE4R2lNdjVTMDl6WVA2bFFCdz09, Meeting ID: 962 1306 3691, password: 375291
In this talk, I will discuss a general formalism for detecting and correcting faults in a Clifford circuit. The scheme is based on the observation that the set of all possible outcome bit-strings of a Clifford circuit is a linear code, which we call the outcome code. From the outcome code we construct a corresponding stabilizer code, the spacetime code. Our construction extends the circuit-to-code construction of Bacon, Flammia, Harrow and Shi, revisited recently by Gottesman. With this correspondence, we reduce the problem of correcting faults in a circuit to the well-studied problem of correcting errors in a stabilizer code.