Classification of qubit cellular automata on hypercubic lattices
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908520502263808 |
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| author | Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo |
| author_facet | Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo |
| contents | We classify quantum cellular automata whose cells are qubits, on hypercubic lattices $\mathbb Z^s$, with the von Neumann neighborhood scheme, in terms of realizability as finite-depth quantum circuits. We show the most general structure of such automata and use its characterisation to simulate a few steps of evolution and evaluate the rate of entanglement production between one cell and its surroundings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of qubit cellular automata on hypercubic lattices Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo Quantum Physics We classify quantum cellular automata whose cells are qubits, on hypercubic lattices $\mathbb Z^s$, with the von Neumann neighborhood scheme, in terms of realizability as finite-depth quantum circuits. We show the most general structure of such automata and use its characterisation to simulate a few steps of evolution and evaluate the rate of entanglement production between one cell and its surroundings. |
| title | Classification of qubit cellular automata on hypercubic lattices |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.04493 |