| _version_ | 1867003003157872641 |
|---|---|
| author | Ying Zhang Xin Wang Lijun Ji |
| author_facet | Ying Zhang Xin Wang Lijun Ji Ying Zhang Xin Wang Lijun Ji |
| collection | Wiley Open Access |
| contents | Quantum Latin Squares With all Possible Cardinalities Ying Zhang Xin Wang Lijun Ji Journal of Combinatorial Designs ABSTRACT A quantum Latin square of order (denoted as QLS) is an array whose entries are unit column vectors from the ‐dimensional Hilbert space , such that each row and column forms an orthonormal basis. Two unit vectors are regarded as identical if there exists a real number such that ; otherwise, they are considered distinct. The cardinality of a QLS is the number of distinct vectors in the array. In this paper, we use sub‐QLSs to prove that for any integer , and any integer , there is a QLS with cardinality . 10.1002/jcd.70021 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/jcd.70021 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_jcd_70021 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2026 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | Quantum Latin Squares With all Possible Cardinalities Ying Zhang Xin Wang Lijun Ji Journal of Combinatorial Designs Quantum Latin Squares With all Possible Cardinalities Ying Zhang Xin Wang Lijun Ji Journal of Combinatorial Designs ABSTRACT A quantum Latin square of order (denoted as QLS) is an array whose entries are unit column vectors from the ‐dimensional Hilbert space , such that each row and column forms an orthonormal basis. Two unit vectors are regarded as identical if there exists a real number such that ; otherwise, they are considered distinct. The cardinality of a QLS is the number of distinct vectors in the array. In this paper, we use sub‐QLSs to prove that for any integer , and any integer , there is a QLS with cardinality . 10.1002/jcd.70021 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | Quantum Latin Squares With all Possible Cardinalities |
| topic | Journal of Combinatorial Designs |
| url | https://onlinelibrary.wiley.com/doi/10.1002/jcd.70021 |