Arithmetic sequences as quantum states
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915098696613888 |
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| author | Lin, Ruge Sierra, Germán Latorre, José I. |
| author_facet | Lin, Ruge Sierra, Germán Latorre, José I. |
| contents | We consider arithmetic sequences, here defined as ordered lists of positive integers. Any such a sequence can be cast onto a quantum state, enabling the quantification of its `surprise' through von Neumann entropy. We identify typical sequences that maximize entanglement entropy across all bipartitions and derive an analytical approximation as a function of the sequence length. This quantum-inspired approach offers a novel perspective for analyzing randomness in arithmetic sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06292 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic sequences as quantum states Lin, Ruge Sierra, Germán Latorre, José I. Quantum Physics We consider arithmetic sequences, here defined as ordered lists of positive integers. Any such a sequence can be cast onto a quantum state, enabling the quantification of its `surprise' through von Neumann entropy. We identify typical sequences that maximize entanglement entropy across all bipartitions and derive an analytical approximation as a function of the sequence length. This quantum-inspired approach offers a novel perspective for analyzing randomness in arithmetic sequences. |
| title | Arithmetic sequences as quantum states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.06292 |