Full quantum reconstruction of vortex states
arXiv:0806.3661 · doi:10.1103/PhysRevA.78.060101
Abstract
We propose a complete tomographic reconstruction of any vortex state carrying orbital angular momentum. The scheme determines the angular probability distribution of the state at different times under free evolution. To represent the quantum state we introduce a bona fide Wigner function defined on the discrete cylinder, which is the natural phase space for the pair angle-angular momentum. The feasibility of the proposal is addressed.
Final published version
References in corpus (11)
- Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
- Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment
- Superpositions of the Orbital Angular Momentum for Applications in Quantum Experiments
- Triggered qutrits for Quantum Communication protocols
- Coherent states for a quantum particle on a circle
- Biased tomography schemes: an objective approach
- Quantization of the canonically conjugate pair angle and orbital angular momentum
- Quantum state tomography of molecular rotation
- Experimental test of uncertainty relations for quantum mechanics on a circle
- Minimum uncertainty measurements of angle and angular momentum
- Quantum phase-space description of light polarization
Cited by in corpus (12)
- Orbital angular momentum in phase space
- Wigner distribution of twisted photons
- Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams
- Non-negative Wigner functions for orbital angular momentum states
- Angular performance measure for tighter uncertainty relations
- From the Weyl quantization of a particle on the circle to number-phase Wigner functions
- Experimental Demonstration of Negative-Valued Polarization Quasi-Probability Distribution
- Clifford operations and homological codes for rotors and oscillators
- Orbital angular momentum from marginals of quadrature distributions
- Wigner distribution on a double cylinder phase space for studying quantum error correction protocol
- Nondiffracting beams for vortex tomography
- Wigner function for twisted photons