IQIM Postdoctoral and Graduate Student Seminar
Abstract: Floquet codes are a novel class of error-correcting codes defined using a sequence of measurements such that at each time step, there is an instantaneous stabilizer group with an associated logical qubit. I will introduce Floquet codes using concrete small examples and then present the key ideas for our construction of new Floquet codes that have instantaneous stabilizer groups (ISGs) equivalent to 1) 2D color code 2) 3D toric code 3) X-cube model and 4) certain twisted quantum doubles. The models mentioned in (2)-(4) are subspaces of (stacks of) 2D toric codes and our Floquet codes have the important property that ISGs are always equivalent to the subspace model; they do not alternate between (stacks of) 2D toric codes and the subspace model, so the decoding advantages associated with the subspace model are maintained throughout. I will also discuss the insertion of topological defects in the Floquet code with 2D toric code ISGs and their use for quantum computation. For all of these, we use two-qubit measurements.
Lunch will be provided, following the talk, on the lawn north of the Bridge Arcade
Attendees joining in person must demonstrate that they comply with Caltech's vaccination requirements (present Caltech ID or AWS ID or vaccination and booster confirmation).