Mutually Unbiased Bases and Orthogonal Latin Squares -- version 3
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912842392797184 |
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| author | Joka, Stefan |
| author_facet | Joka, Stefan |
| contents | In this paper, we prove that the existence of a complete set of mutually unbiased bases (MUBs) in N-dimensional Hilbert space implies the existence of a complete set of mutually orthogonal Latin squares (MOLSs) of order N. In particular, we prove that a complete set of MUBs does not exist in dimension six (the first dimension which is not a power of prime). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mutually Unbiased Bases and Orthogonal Latin Squares -- version 3 Joka, Stefan Quantum Physics In this paper, we prove that the existence of a complete set of mutually unbiased bases (MUBs) in N-dimensional Hilbert space implies the existence of a complete set of mutually orthogonal Latin squares (MOLSs) of order N. In particular, we prove that a complete set of MUBs does not exist in dimension six (the first dimension which is not a power of prime). |
| title | Mutually Unbiased Bases and Orthogonal Latin Squares -- version 3 |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.03537 |