The disjointness for stabilizer codes in quantum error correction is an algebraic quantity tied to the structure of the stabilizer generators of a code. It can be used to characterize the properties of different classes of logical gates, placing bounds on the level of the Clifford hierarchy attainable by constant depth circuits. This talk will introduce the notion of disjointness, highlight its usefulness with several examples, and posit open questions for which the disjointness may be useful in addressing.
Tomas Jochym-O'Connor is a research staff member in the IBM Quantum group at the IBM T.J. Watson Research Center. His research interests encompass quantum information, error correction, and fault tolerance.