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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2312.16433 |
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| _version_ | 1866910547626164224 |
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| author | Takeuchi, Yuki |
| author_facet | Takeuchi, Yuki |
| contents | There are two types of universality in measurement-based quantum computation (MBQC): ${\it strict}$ and ${\it computational}$. It is well known that the former is stronger than the latter. We present a method of transforming from a certain type of computationally universal MBQC to a strictly universal one. Our method simply replaces a single qubit in a resource state with a Pauli-$Y$ eigenstate. We applied our method to show that hypergraph states can be made strictly universal with only Pauli measurements, while only computationally universal hypergraph states were known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation Takeuchi, Yuki Quantum Physics There are two types of universality in measurement-based quantum computation (MBQC): ${\it strict}$ and ${\it computational}$. It is well known that the former is stronger than the latter. We present a method of transforming from a certain type of computationally universal MBQC to a strictly universal one. Our method simply replaces a single qubit in a resource state with a Pauli-$Y$ eigenstate. We applied our method to show that hypergraph states can be made strictly universal with only Pauli measurements, while only computationally universal hypergraph states were known. |
| title | Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.16433 |