# On mutually unbiased unitary bases in prime-dimensional Hilbert spaces

@article{Nasir2019OnMU, title={On mutually unbiased unitary bases in prime-dimensional Hilbert spaces}, author={Rinie N. M. Nasir and Jesni Shamsul Shaari and Stefano Mancini}, journal={Quantum Information Processing}, year={2019}, volume={18}, pages={1-16} }

Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, $$\mathcal {H}_d$$Hd, we study its analogue for a d-dimensional subspace of $$M (d,\mathbb {C})$$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 $$\mathcal {H}_d$$Hd isomorphic to one for the subspace of $$M (d,\mathbb {C})$$M(d,C). This provides… CONTINUE READING

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