60 citations · 121 across the 14 of their papers we have counts for
14 papers
Qubit Geometry through Holomorphic Quantization
Ahmad Hazazi Ahmad Sumadi, Nurisya Mohd Shah, Umair Abdul Halim +1
We develop a wave mechanics formalism for qubit geometry using holomorphic functions and Mobius transformations, providing a geometric perspective on quantum computation. This fram…
Isomorphism of Analytical Spectrum between Noncommutative Harmonic Oscillator and Landau Problem
M. N. Nazmi M. Rusli, Nurisya M. Shah, Hishamuddin Zainuddin +1
The comparison of the Hamiltonians of the noncommutative isotropic harmonic oscillator and Landau problem are analysed to study the specific conditions under which these two models…
Localization Principle of the Spectral Expansions of Distributions Connected with Schrodinger Operator
Abdumalik Rakhimov, Anvarjon Ahmedov, Hishamuddin Zainuddin
In this paper the localization properties of the spectral expansions of distributions related to the self adjoint extension of the Schrodinger operator are investigated. Spectral d…
Two Dimensional Plane, Modified Symplectic Structure and Quantization
Mohd Faudzi Umar, Nurisya Mohd Shah, Hishamuddin Zainuddin
Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we consider the problem using Isham's canonical group quantization scheme for which t…
Wigner functions for gauge equivalence classes of unitary irreducible representations of noncommutative quantum mechanics
S. Hasibul Hassan Chowdhury, Hishamuddin Zainuddin
While Wigner functions forming phase space representation of quantum states is a well-known fact, their construction for noncommutative quantum mechanics (NCQM) remains relatively…
Zoology of Atlas-groups: dessins d'enfants, finite geometries and quantum commutation
Michel Planat, Hishamuddin Zainuddin
Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not neccessarily minim…