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}
}
  • Rinie N. M. Nasir, Jesni Shamsul Shaari, Stefano Mancini
  • Published 2019
  • Physics, Computer Science, Mathematics
  • Quantum Information Processing
  • 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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