Quantum Matter Seminar

In my talk, I will introduce our recent generalizations of Floquet codes, which are a new kind of quantum error-correcting codes defined by periodic measurement sequences. In particular, we propose a new kind of measurement-based quantum computation inspired by these codes. In this model, the quantum logical gates are implemented by short sequences of low-weight (namely, two- and rarely, three-qubit) measurements which simultaneously encode logical information and enable error correction.

Our model for quantum computation can be viewed as a nontrivial dynamics of quantum information that is both induced and protected by the same set of measurements. We introduce a new class of quantum error-correcting codes which we call dynamic automorphism codes. We construct explicit examples, called dynamic automorphism color codes, that can implement the full Clifford group in 2+1d and a non-Clifford gate in 3+1d, making the first step towards universal quantum computation in this model.