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

2024/09/24 by Yang, Wang, Adhikary, Arnab, Raussendorf, Robert · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/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-1 chains in the Haldane phase, coincides with the conventional string order parameter in condensed matter physics.

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• Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy

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