Hyperentanglement in Nanophotonic Systems with Discrete Rotational Symmetry

• URL: http://arxiv.org/abs/2511.00860v1
• Date: Sun, 02 Nov 2025 08:53:48 GMT
• Title: Hyperentanglement in Nanophotonic Systems with Discrete Rotational Symmetry
• Authors: Lior Fridman, Amit Kam, Amir Sivan, Guy Sayer, Stav Lotan, Guy Bartal,
• Abstract summary: Coupling free-space photons into surface plasmon polaritons by a polygonal-shaped grating restricts basis of generated near-field modes to a finite set.<n>We find that the system preserves the high-dimensional Hilbert space, in contrast to rotationally symmetric nanophotonic platforms.<n>Our approach paves the way for on-chip quantum communication by expanding the Hilbert space used in computation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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