Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917784873598976 |
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| author | Yang, Wang Adhikary, Arnab Raussendorf, Robert |
| author_facet | Yang, Wang Adhikary, Arnab Raussendorf, Robert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems Yang, Wang Adhikary, Arnab Raussendorf, Robert Quantum Physics 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. |
| title | Measurement-based quantum computation in symmetry protected topological states of one-dimensional integer spin systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2409.16109 |