nonstandard bases: case of mutually unbiased bases.
Quantum entanglement and projective ring geometry.
Formula for unbiased bases
The present paper deals with mutually unbiased bases for systems of qudits in dimensions. Such bases are of considerable interest in quantum information. A formula for deriving a complete set of mutually unbiased bases is given for where is a prime integer. The formula follows from a nonstandard approach to the representation theory of the group . A particular case of the formula is derived from the introduction of a phase operator associated with a generalized oscillator algebra. The case...
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