Related Experiment Video
Updated: Feb 26, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Computational Power of Symmetry-Protected Topological Phases
David T Stephen1, Dong-Sheng Wang1, Abhishodh Prakash2
1Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.
Abstract:
We consider ground states of quantum spin chains with symmetry-protected topological (SPT) order as resources for measurement-based quantum computation (MBQC). We show that, for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase. This computational power, defined as the Lie group of executable gates in MBQC, is determined by the same algebraic information that labels the SPT phase itself. We prove that these Lie groups always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
Related Concept Videos
Phase Diagrams
Symmetry in Maxwell's Equations
Phase Transitions
Phase Diagram
Gauss's Law: Planar Symmetry
Properties of Fourier series II
A function f(t) is...

