Page 1 Next

Displaying 1 – 20 of 23

Showing per page

Formula for unbiased bases

Maurice R. Kibler (2010)


The present paper deals with mutually unbiased bases for systems of qudits in d dimensions. Such bases are of considerable interest in quantum information. A formula for deriving a complete set of 1 + p mutually unbiased bases is given for d = p where p is a prime integer. The formula follows from a nonstandard approach to the representation theory of the group S U ( 2 ) . A particular case of the formula is derived from the introduction of a phase operator associated with a generalized oscillator algebra. The case...

Optimal Holomorphic Hypercontractivity for CAR Algebras

Ilona Królak (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

We present a new proof of Janson’s strong hypercontractivity inequality for the Ornstein-Uhlenbeck semigroup in holomorphic algebras associated with CAR (canonical anticommutation relations) algebras. In the one generator case we calculate optimal bounds for t such that U t is a contraction as a map L ( ) L p ( ) for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.

Currently displaying 1 – 20 of 23

Page 1 Next