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Generation of hyperentangled states and two-dimensional quantum walks using J or q plates and polarization beam splitters

Yasir, PAA and Chandrashekar, CM (2022) Generation of hyperentangled states and two-dimensional quantum walks using J or q plates and polarization beam splitters. In: Physical Review A, 105 (1).

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Official URL: https://doi.org/10.1103/PhysRevA.105.012417

Abstract

A single photon can be made to entangle simultaneously in its different internal degrees of freedom (DoF) - polarization, orbital angular momentum (OAM), and frequency - as well as in its external DoF - path. Such entanglement in multiple DoF is known as hyperentanglement and provides additional advantage for quantum information processing. We propose a passive optical setup using q plates and polarization beam splitters to hyperentangle an incoming single photon in polarization, OAM, and path DoF. By mapping polarization DoF to a two-dimensional coin state, and path and OAM DoF to two spatial dimensions, x and y, we present a scheme for realization of a two-dimensional discrete-time quantum walk using only polarization beam splitters and q plates ensuing the generation of hyperentangled states. The amount of hyperentanglement generated is quantified by measuring the entanglement negativity between any two DoF. We further show that hyperentanglement generation can be controlled by using an additional coin operation or by replacing the q plate with a J plate. © 2022 American Physical Society.

Item Type: Journal Article
Publication: Physical Review A
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to Authors
Keywords: Coin operated equipment; Degrees of freedom (mechanics); Optical beam splitters; Optical instruments; Photons; Polarization; Prisms; Quantum entanglement; Quantum optics, Angular frequencies; Hyperentanglement; Internal degrees of freedom; Orbital angular momentum; Polarization beamsplitters; Polarization orbitals; Q plates; Quantum walk; Single photons; Two-dimensional, Particle beams
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited: 21 Feb 2022 12:05
Last Modified: 21 Feb 2022 12:05
URI: http://eprints.iisc.ac.in/id/eprint/71404

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