Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Maurice, Robert"'
Autor:
Kibler, Maurice Robert
The aim of the present paper is twofold. First, to give the main ideas behind quantum computingand quantum information, a field based on quantum-mechanical phenomena. Therefore, a shortreview is devoted to (i) quantum bits or qubits (and more general
Externí odkaz:
http://arxiv.org/abs/1811.08499
A relation is established in the present paper between Dicke states in a d-dimensional space and vectors in the representation space of a generalized Weyl-Heisenberg algebra of finite dimension d. This provides a natural way to deal with the separabl
Externí odkaz:
http://arxiv.org/abs/1804.06184
Autor:
Kibler, Maurice Robert
Publikováno v:
Acta Polytechnica (Czech Technical University in Prague) 54 (2014) 124-126
Two equivalent ways of looking for mutually unbiased bases are discussed in this note. The passage from the search for d+1 mutually unbiased bases in C(d) to the search for d(d+1) vectors in C(d*d) satisfying constraint relations is clarified. Symmet
Externí odkaz:
http://arxiv.org/abs/1401.4643
Autor:
Kibler, Maurice Robert
We show how to transform the problem of finding d+1 mutually unbiased bases in the d-dimensional Hilbert space into the one of finding d(d+1) vectors in the N-dimensional Hilbert space with N=d**2. The transformation formulas admit a solution when d
Externí odkaz:
http://arxiv.org/abs/1210.8173
This paper is concerned with the construction of phase operators, phase states, vector phase states, and coherent states for a generalized Weyl-Heisenberg algebra. This polynomial algebra (that depends on real parameters) is briefly described. The va
Externí odkaz:
http://arxiv.org/abs/1210.4022
Publikováno v:
Physics Conference TIM-11, Timisoara : Roumanie (2011)
It is the aim of this paper to show how to construct Perelomov and Barut-Girardello coherent states for a polynomial Weyl-Heisenberg algebra. This algebra depends on r parameters. For some special values of the parameter corresponding to r = 1, the a
Externí odkaz:
http://arxiv.org/abs/1201.1811
This paper focuses on phase operators, phase states and vector phase states for the sl(3) Lie algebra. We introduce a one-parameter generalized oscillator algebra A(k,2) which provides a unified scheme for dealing with su(3) (for k < 0), su(2,1) (for
Externí odkaz:
http://arxiv.org/abs/1104.4452
Autor:
Kibler, Maurice Robert
Publikováno v:
International Conference in Commemoration of the Centenary of the Birth of G. Racah (1909-1965) - Zaragoza, Spain, 22-24 February 2010, Zaragoza : Spain (2010)
This paper focuses on the impact of Racah on crystal- and ligand-field theories, two branches of molecular physics and condensed matter physics (dealing with ions embedded in aggregates of finite symmetry). The role of Racah and some of his students
Externí odkaz:
http://arxiv.org/abs/1103.2272
Autor:
Kibler, Maurice Robert
Publikováno v:
Quadratic discrete Fourier transform and mutually unbiased bases, G. Nikolic (Ed.) (2010) 103-138
The present chapter [submitted for publication in "Fourier Transforms, Theory and Applications", G. Nikolic (Ed.), InTech (Open Access Publisher), Vienna, 2011] is concerned with the introduction and study of a quadratic discrete Fourier transform. T
Externí odkaz:
http://arxiv.org/abs/1010.5964