84 citations · 970 across the 84 of their papers we have counts for
5 papers · 1 filter
Huyghens, Bohr, Riemann and Galois: Phase-Locking
Michel R. P. Planat
Several mathematical views of phase-locking are developed. The classical Huyghens approach is generalized to include all harmonic and subharmonic resonances and is found to be conn…
Mutually unbiased phase states, phase uncertainties, and Gauss sums
M. Planat, H. C. Rosu
Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is a constant equal to 1/sqrt{d), with d the dimension of th…
Hjelmslev Geometry of Mutually Unbiased Bases
Metod Saniga, Michel Planat
The basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer,…
Abstract algebra, projective geometry and time encoding of quantum information
Michel R. P. Planat, Metod Saniga
Algebraic geometrical concepts are playing an increasing role in quantum applications such as coding, cryptography, tomography and computing. We point out here the prominent role p…
Quantum phase uncertainty in mutually unbiased measurements and Gauss sums
Michel Planat, Haret Rosu
Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is constant equal to the inverse , with the…