Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems
arXiv:2409.16109
Abstract
In this work, we generalize the algebraic framework for measurement-based quantum computation (MBQC) in one-dimensional symmetry protected topological states recently developed in [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- chains in the Haldane phase, coincides with the conventional string order parameter in condensed matter physics.
17 pages, 4 figures