IQI Weekly Seminar

Abstract: Certain physical systems that one might consider for fault-tolerant quantum computing where qubits do not readily interact, for instance photons, are better suited for measurement-based quantum-computational protocols. We develop a framework to map fault-tolerant procedures for quantum computation that have been natively designed for use with stabilizer codes onto a measurement-based protocol, allowing us to take advantage of the wealth of recent developments from the field of circuit-based fault-tolerant quantum computation with promising alternative architectures. We derive our framework by regarding measurement-based quantum computation as a specific case of gauge fixing where the gauge group of the underlying subsystem code is the union of the stabilizer group of a resource state and a single-qubit measurement pattern. To demonstrate our new framework we construct a new model of universal quantum computation based on the braiding and fusion of foliated topological defects that are akin to Majorana modes.

Joint work with Benjamin J. Brown