Speaker: Shankar Balasubramanian, MIT

Title: Dynamic codes, automorphisms, and quantum computation

Abstract: Dynamic, or Floquet, codes are a new class of quantum error correcting codes that fall outside stabilizer or subsystem code formalisms.  They have also attracted attention for their practical utility.  In this talk, I will summarize some of our recent results on Floquet codes.  A key observation is that Floquet codes are capable of implementing automorphisms of a topological order, which are in one-to-one correspondence with logical gates.  Motivated by this, we introduce the concept of dynamic automorphism (DA) codes, which utilize sequences of measurements to simultaneously encode information, perform error correction, and perform arbitrary quantum computation.  We construct examples of DA codes, one of which implements the full logical Clifford group using sequences of low-weight Pauli measurements, and another which implements a non-Clifford logical gate via non-Pauli and adaptive measurements.