Measurement-based quantum computation in symmetry-protected topological states of one-dimensional integer spin systems
Phys. Rev. A 113, 032605 – Published 5 March, 2026
DOI: https://doi.org/10.1103/k1l1-94y5
Abstract
In this work we generalize the algebraic framework for measurement-based quantum computation (MBQC) in one-dimensional symmetry protected topological states recently developed [Quantum 7, 1215 (2023)], such that in addition to half-odd-integer spins, the integer spin chains can also be incorporated in the framework. The computational order parameter characterizing the efficiency of MBQC is identified, which, for spin-1 chains in the Haldane phase, coincides with the conventional string order parameter in condensed matter physics.
