The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

Photonics is the platform of choice to build a modular, easy-to-network quantum computer
operating at room temperature. However, no concrete architecture has been presented so …

We present a family of local quantum channels whose steady states exhibit stable mixed-
state symmetry-protected topological (SPT) order. Motivated by recent experimental …

A fault-tolerant quantum computer will be supported by a classical decoding system
interfacing with quantum hardware to perform quantum error correction. It is important that …

A systematic approach to dualities in symmetric (1+ 1) d quantum lattice models has recently
been proposed in terms of module categories over the symmetry fusion categories. By …

Finding optimal correction of errors in generic stabilizer codes is a computationally hard
problem, even for simple noise models. While this task can be simplified for codes with some …

We propose a new cellular automaton (CA), the sweep rule, which generalizes Toom's rule
to any locally Euclidean lattice. We use the sweep rule to design a local decoder for the toric …

We propose a unifying paradigm for analyzing and constructing topological quantum error
correcting codes as dynamical circuits of geometrically local channels and measurements …

We analyze the performance of decoders for the 2D and 4D toric code which are local by
construction. The 2D decoder is a cellular automaton decoder formulated by Harrington …