On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, Hd, we study its analogue for a d-dimensional subspace of M(d,C), i.e. mutually unbiased unitary bases (MUUBs) comprising of unitary operators. We note an obvious isomorphism between the vector spaces...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Springer US
2019
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/71981/1/71981_On%20mutually%20unbiased%20unitary.pdf http://irep.iium.edu.my/71981/7/71981%20On%20mutually%20unbiased%20unitary%20bases%20%20SCOPUS.pdf http://irep.iium.edu.my/71981/13/71981_On%20mutually%20unbiased%20unitary%20bases%20in%20prime-dimensional%20Hilbert%20spaces_wos.pdf http://irep.iium.edu.my/71981/ https://link.springer.com/article/10.1007/s11128-019-2298-2 |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English English English |
| Summary: | Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, Hd, we study its analogue for a d-dimensional subspace of M(d,C), i.e. mutually unbiased unitary bases (MUUBs) comprising of unitary operators. We note an obvious isomorphism between the vector spaces and beyond that, we define a relevant monoid structure for Hd isomorphic to one for the subspace of M(d,C). This provides us not only with the maximal number of such MUUBs, but also a recipe for its construction. |
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