Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states
arXiv:1210.7687 · doi:10.1016/j.physleta.2011.03.018
Abstract
Finite dimensional representations of extended Weyl-Heisenberg algebra are studied both from mathematical and applied viewpoints. They are used to define unitary phase operator and the corresponding eigenstates (phase states). It is also shown that the unitary depolarizers can be constructed in a general setting in terms of phase operators. Generation of generalized Bell states using the phase operator is presented and their expressions in terms of the elements of mutually unbiased bases are given.
References in corpus (6)
- An angular momentum approach to quadratic Fourier transform, Hadamard matrices, Gauss sums, mutually unbiased bases, unitary group and Pauli group
- Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
- Effective Hamiltonians in quantum optics: a systematic approach
- Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics
- Mutually unbiased bases and generalized Bell states
- Fractional supersymmetry and hierarchy of shape invariant potentials