QuICS Special Seminar: Nicolas Delfosse

Title:  Spacetime codes of Cliffords circuits
Speaker:  Nicolas Delfosse (IonQ)
Time:  Thursday, March 28, 2024 - 3:30pm
Location:  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.

Based on joint work with Adam Paetznick.

https://arxiv.org/abs/2304.05943

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