QLunch: Blazej Ruba

Speaker: Blazej Ruba, Jagiellonian University, Kraków, Poland

Title: Pauli stabilizer codes

Abstract: Pauli stabilizer codes are many body quantum systems whose ground states are described by eigenequations for mutually commuting products of clock and shift matrices. Stabilizer codes were considered first as models of quantum memory. They also provide interesting and tractable examples of exotic phases of spin systems. I will discuss simple examples and rudiments of the mathematical theory based on commutative algebra, developed mostly by J. Haah and recently extended by B. Yang and me.