Linear canonical transforms in quantum computation and wave optics.

Hadamard matrices are square, unimodular, unitary matrices which are
useful in quantum computing as they define Weyl pairs of observables.
Discrete linear canonical transforms (LCTs) are square, unimodular
matrices with physical realisations. Hence, when discrete LCTs are
unitary, they constitute realisable Hadamard matrices. We discuss
when discrete LCTs are unitary, and when sets of these matrices form
mutually unbiased bases. Discrete LCTs are also used in numerical
approximation of paraxial wave propagation through lens systems. We
show how to select sampling rates in such simulations.

Participante: Dr. John J. Healy

Institución: ICF

Lugar: Auditorio ICF

Fecha y hora: Este evento terminó el Jueves, 11 de Noviembre de 2010