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IEEE Conference on Emerging Technologies - Nanoelectronics

Experimentation on Laguerre-Gaussian laser beams for QI application

Manoj Kumar Mahanta

Published Mar 30, 2006• 0 citations
Publisher

Abstract

It is well known that Laguerre-Gaussian (LG) laser beams with orbital angular momentum (OAM), resulting from a phase singularity and created from the readily available Hermite-Gaussian (HG) laser beam, carry the potential for providing an unlimited number of orbital angular momentum states that could be used for enhanced processing of quantum info mation (QI). This paper presents a comprehensive set of experimentation on the fabrication and use of computer generated holograms to create LG beams from the HG profile of an ordinary He-Ne laser and characterization thereof in preparation for QI applications.

DOI
10.1109/nanoel.2006.1609721

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It is well known that Laguerre-Gaussian (LG) laser beams with orbital angular momentum (OAM), resulting from a phase singularity and created from the readily available Hermite-Gaussian (HG) laser beam, carry the potential for providing an unlimited number of orbital angular momentum states that could be used for enhanced processing of quantum info mation (QI). This paper presents a comprehensive set of experimentation on the fabrication and use of computer generated holograms to create LG beams from the HG profile of an ordinary He-Ne laser and characterization thereof in preparation for QI applications.
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We have generated a new quantum state of light composed of quadrature entangled Laguerre-Gaussian (LG) modes. For the generation we used an OPO operating in a new regime where all field parameters are degenerate except for its spatial degree of freedom for which it is two-fold degenerate. The entanglement is manifested in the squeezing of the rotated modes in the Hermite-Gauss (HG) basis, measured with a specially tailored local oscillator. The most promising application of CV orbital angular momentum (OAM) states is their compatibility with atoms, thus allowing for storage of CV quantum information.
High-dimensional maximally entangled orbital angular momentum (OAM) states are a promising resource for enhancing information capacity and robustness in quantum communication. However, it still lacks an effective method to increase the state dimensionality. Here, we theoretically propose an efficient scheme to generate maximally entangled OAM states of ultrahigh dimensionality by manipulating the radial components of a Laguerre-Gaussian (LG) pump beam. By optimizing the complex amplitudes of multiple radial modes of the LG pump light, one can feasibly achieve 101-dimensional OAM-based maximally entangled states. Our scheme has potential applications in high capacity quantum communication networks.
High-dimensional quantum computing has emerged as a recent alternative to conventional qubit-based approaches, offering advantages such as an increased information density and enhanced robustness against noise. In this work, we explore the use of the orbital angular momentum (OAM) of light as a degree of freedom in which high-dimensional quantum gates can be implemented. We present a theoretical and experimental study of structured light beams carrying OAM, with emphasis on Laguerre–Gauss modes, as a natural basis for high-dimensional quantum computing. We then describe the generation of OAM beams using computer-generated holograms and spatial light modulators, detailing practical methods for encoding arbitrary phase profiles. Building on this framework, we analyze the implementation of high-dimensional quantum logic gates, focusing on the generalized Pauli Z_d and X_d operations. Optical setups based on Dove prisms, Sagnac interferometers, spiral phase plates, and parity sorters are proposed and theoretically validated. Finally, we report experimental results demonstrating the generation of Laguerre–Gauss beams, the transformation properties of Dove prisms, and the operation of a parity sorter, which constitutes a building block for realizing high-dimensional quantum gates. These results establish a solid foundation for future implementations of high-dimensional quantum information processing using the orbital angular momentum of light.
Laser cooling and trapping has led to a revolution in Atomic and Molecular physics. Optical traps created with blue-detuned laser beams are desired for numerous studies. One method of creating such a trap is with Laguerre-Gaussian laser beams. Laguerre-Gaussian (LG) laser beams are interesting because of their orbital angular momentum and radial intensity modes. Previous methods of creating higher-order LG beams did not yield pure LG modes. In collaboration with Digital Optics Corporation diffraction optics have been manufactured that yield higher-order LG laser beams with purities consistent with 100% of the intensity in the desire mode. We then create a donut-mode LG beam with this method to confine atoms from a MOT in both a blue-detuned and a red-detuned optical dipole force trap.
The orbital angular momentum (OAM) of light has become a central topic in quantum information and optical communication. In applications OAM is typically probed by observing a beam's diffraction through binary amplitude and phase masks. Distinguishing the different OAM states of the beam is usually difficult, though, so here the authors program a digital micromirror array to shift the setup's slit transversely, to exploit the unique phase of an OAM beam. By observing how diffraction varies as the slit changes, one can probe higher OAM values than usual, allowing access to theoretically unlimited OAM states for high-dimensional quantum systems, or for multiplexing in communication.