Hyperentanglement in Nanophotonic Systems with Discrete Rotational Symmetry

Abstract

We propose a scheme to generate hyperentanglement between photons carrying angular momentum in nanophotonic systems with discrete rotational symmetry. Coupling free-space photons into surface plasmon polaritons by a polygonal-shaped grating restricts the basis of the generated near-field modes to a finite set, thus creating a new mechanism for spatial mode entanglement. By encoding the incoming photons with spin and orbital angular momenta, we find that the system preserves the high-dimensional Hilbert space, in contrast to rotationally symmetric nanophotonic platforms, where the inseparability of spin and orbital degrees of freedom results in loss of information. We further show that by properly engineering the phase of the photons to conform to the polygonal boundary conditions, we achieve a new scheme for generating hyperentangled states, utilizing both the vector-field nature of the nanophotonic modes and the finite basis of states in polygonal boundary conditions. Our approach paves the way for on-chip quantum communication by expanding the Hilbert space used in computation.

arXiv comment8 pages, 4 figures

References in corpus (18)

• Entanglement of Orbital Angular Momentum States of Photons
• Spin-orbit interactions of light
• On the Measurement of Qubits
• Quantum Entanglement of High Angular Momenta
• Generation of Hyperentangled Photons Pairs
• On-chip quantum interference between silicon photon-pair sources
• Optical skyrmions in evanescent electromagnetic fields
• Quantum Cryptography using larger alphabets
• Long-distance entanglement purification for quantum communication
• Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
• Frequency Bin Entangled Photons
• Hyperentangled Bell-state analysis
• Integrated optical waveplates for arbitrary operations on polarization-encoded single-qubits
• Creating single time-bin entangled photon pairs
• Hyperentanglement-enabled Direct Characterization of Quantum Dynamics
• Generation of tunable quantum entanglement via nonlinearity symmetry breaking in semiconductor metasurfaces
• Scalable construction of hybrid quantum photonic cavities
• Generation of hyperentangled photon pairs in the time and frequency domain on a silicon photonic chip

Cited by in corpus (1)

• Tracking the Evolution of Near-Field Photonic Qubits into High-Dimensional Qudits via State Tomography