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High-dimensional non-Abelian holonomy in integrated photonics.

Youlve Chen1,2, Yunru Fan3,4, Gulliver Larsonneur1

  • 1State Key Laboratory of Photonics and Communications, School of Information and Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China.

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|April 17, 2025
PubMed
Summary
This summary is machine-generated.

Researchers developed a high-dimensional non-Abelian holonomy device on silicon nitride, enabling robust topological computation. This breakthrough facilitates universal high-order matrix observation and M×N linear holonomic computation for classical and quantum applications.

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Area of Science:

  • Quantum Information Science
  • Integrated Photonics
  • Topological Computing

Background:

  • Non-Abelian holonomy offers robust unitary behavior for topologically protected computation.
  • Realizing high-dimensional non-Abelian holonomy in practical platforms remains a significant challenge.
  • Observing universal high-order matrices is difficult due to subspace dimension limitations.

Purpose of the Study:

  • To realize a high-dimensional non-Abelian holonomic device on an integrated platform.
  • To demonstrate the observation of high-dimensional, broadband, and compact non-Abelian holonomy unitary matrices.
  • To experimentally implement M×N linear holonomic computation architecture.

Main Methods:

  • Utilized an integrated multilayer silicon nitride platform compatible with complementary-metal-oxide-semiconductor processes.
  • Achieved high-dimensional holonomy (up to 6 dimensions) with a broadband operating bandwidth (>100 nm).
  • Employed singular value decomposition to realize M×N linear holonomic computation.

Main Results:

  • Successfully realized high-dimensional (up to 6) non-Abelian holonomy unitary matrices.
  • Observed broadband (>100 nm) and ultra-compact non-Abelian holonomy for arbitrary special orthogonal groups.
  • Experimentally demonstrated M×N linear holonomic computation architecture.

Conclusions:

  • The developed device provides a versatile platform for non-Abelian geometric phase applications.
  • This work paves the way for advanced topological computation in both classical and quantum systems.
  • Integrated silicon nitride offers a promising pathway for scalable photonic quantum technologies.