Locality Implies Complex Numbers in Quantum Mechanics
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913025522401280 |
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| author | Feng, Tianfeng Ren, Changliang Vedral, Vlatko |
| author_facet | Feng, Tianfeng Ren, Changliang Vedral, Vlatko |
| contents | We show that the presented real-number quantum theories, compatible with the independent source assumption, require the inclusion of a nonlocal map. This means that if the independent source assumption holds, in these models, complex-number quantum theory is equivalent to a real-number quantum theory with hidden nonlocal degrees of freedom. Our results suggest that complex numbers may be indispensable for describing the process involving entanglement between two independent systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locality Implies Complex Numbers in Quantum Mechanics Feng, Tianfeng Ren, Changliang Vedral, Vlatko Quantum Physics We show that the presented real-number quantum theories, compatible with the independent source assumption, require the inclusion of a nonlocal map. This means that if the independent source assumption holds, in these models, complex-number quantum theory is equivalent to a real-number quantum theory with hidden nonlocal degrees of freedom. Our results suggest that complex numbers may be indispensable for describing the process involving entanglement between two independent systems. |
| title | Locality Implies Complex Numbers in Quantum Mechanics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.07808 |