Simple ways of preparing qudit Dicke states
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914389040300032 |
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| author | Kerzner, Noah B. Galeazzi, Federico Nepomechie, Rafael I. |
| author_facet | Kerzner, Noah B. Galeazzi, Federico Nepomechie, Rafael I. |
| contents | Dicke states are permutation-invariant superpositions of qubit computational basis states, which play a prominent role in quantum information science. We consider here two higher-dimensional generalizations of these states: $SU(2)$ spin-$s$ Dicke states and $SU(d)$ Dicke states. We present various ways of preparing both types of qudit Dicke states on a qudit quantum computer, using two main approaches: a deterministic approach, based on exact canonical matrix product state representations; and a probabilistic approach, based on quantum phase estimation. The quantum circuits are explicit and straightforward, and are arguably simpler than those previously reported. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13308 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simple ways of preparing qudit Dicke states Kerzner, Noah B. Galeazzi, Federico Nepomechie, Rafael I. Quantum Physics Dicke states are permutation-invariant superpositions of qubit computational basis states, which play a prominent role in quantum information science. We consider here two higher-dimensional generalizations of these states: $SU(2)$ spin-$s$ Dicke states and $SU(d)$ Dicke states. We present various ways of preparing both types of qudit Dicke states on a qudit quantum computer, using two main approaches: a deterministic approach, based on exact canonical matrix product state representations; and a probabilistic approach, based on quantum phase estimation. The quantum circuits are explicit and straightforward, and are arguably simpler than those previously reported. |
| title | Simple ways of preparing qudit Dicke states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.13308 |