Orbital Angular Momentum: Position Representation

Clasine van Winter

Huawang Qin, Raylin Tso

A high-capacity quantum secret sharing scheme based on orbital angular momentum is proposed. The dealer uses single particles in the orbital angular momentum (OAM) basis to bring the secret and encodes the secret through performing the transformation between the orbital angular momentum (OAM) basis and the angular position (ANG) basis. In the recovery, the participants perform the single-particle measurements to reconstruct the secret. The proposed scheme can use the multi-dimension of OAM to reach higher information capacity and enhanced security.

Magnus T. L. Hsu, Warwick P. Bowen, Ping Koy Lam

The transverse spatial attributes of an optical beam can be decomposed into the position, momentum, and orbital angular momentum observables. The position and momentum of a beam are directly related to the quadrature amplitudes, while the orbital angular momentum is related to the polarization (spin) variables. In this paper, we study the quantum properties of these spatial variables, using a representation in the Stokes-operator basis. We propose a spatial detection scheme to measure all three spatial variables and, consequently, propose a scheme for the generation of spatial Stokes-operator squeezing and entanglement.

Anand K. Jha, Barry Jack, E. Yao +6 more

We study the Fourier relationship between angular position and orbital angular momentum of entangled photons. We establish that the amplitudes of the angular position and the orbital angular momentum distributions are related as conjugate Fourier-pairs.