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arXiv · 2409.16109

Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems

Wang Yang·Arnab Adhikary·Robert Raussendorf
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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-$1$ chains in the Haldane phase, coincides with the conventional string order parameter in condensed matter physics.

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Wang Yang, Arnab Adhikary, Robert Raussendorf. 2024-09-24. Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems. https://arxiv.org/abs/2409.16109

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