Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 17: Quantum Manybody Systems (joint session QI/TT)
TT 17.6: Talk
Monday, March 9, 2026, 17:00–17:15, BEY/0245
Measurement-Based Quantum Computation in Symmetry-Enriched Topological Phases — •Paul Herringer1,2,3, Vir B. Bulchandani4,5, Younes Javanmard1, David T. Stephen6,7, and Robert Raussendorf1,3 — 1Leibniz Universität Hannover, Hannover, Germany — 2University of British Columbia, Vancouver, Canada — 3Stewart Blusson Quantum Matter Institute, Vancouver, Canada — 4Rice University, Houston, USA — 5National University of Singapore, Singapore — 6University of Colorado Boulder, Boulder, USA — 7California Institute of Technology, Pasadena, USA
We present the first examples of topological phases of matter with uniform power for measurement-based quantum computation. This is possible thanks to a new framework for analyzing the computational properties of phases of matter that is more general than previous constructions, which were limited to short-range entangled phases in one dimension. We show that ground states of the toric code in an anisotropic magnetic field yield a natural, albeit non-computationally-universal, application of our framework. We then present a new model with topological order whose ground states are universal resources for MBQC. Both topological models are enriched by subsystem symmetries, and these symmetries protect their computational power. Our framework greatly expands the range of physical models that can be analyzed from the computational perspective.
Keywords: Measurement-based quantum computing; Symmetry-protected topological order; Symmetry-enriched topological order; Topological phases of matter