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Arbitrary linear transformations for photons in the frequency synthetic dimension.

Siddharth Buddhiraju1, Avik Dutt1, Momchil Minkov1

  • 1Ginzton Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA, USA.

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|April 24, 2021
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Summary
This summary is machine-generated.

Researchers developed a photonic architecture using synthetic frequency dimensions to perform arbitrary linear transformations. This reconfigurable integrated system offers high fidelity for classical and quantum applications.

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Area of Science:

  • Photonics
  • Quantum Information Processing
  • Integrated Optics

Background:

  • Arbitrary linear transformations are fundamental in photonic applications like signal processing, communications, quantum computing, and machine learning.
  • Existing photonic architectures often face limitations in scalability, reconfigurability, and fidelity for complex transformations.

Purpose of the Study:

  • To present a novel photonic architecture capable of implementing arbitrary linear transformations.
  • To leverage the synthetic frequency dimension for enhanced photonic manipulation.
  • To demonstrate a reconfigurable and scalable solution for integrated photonic systems.

Main Methods:

  • Utilizing dynamically modulated micro-ring resonators to create tunable couplings between frequency modes.
  • Employing inverse design with automatic differentiation to optimize short- and long-range couplings.
  • Harnessing the synthetic frequency dimension of photons for computation.

Main Results:

  • Achieved arbitrary scattering matrices in synthetic space with near-unity fidelity.
  • Demonstrated the reconfigurability of the same physical structure for diverse manipulations.
  • Showcased favorable scaling properties for the proposed architecture.

Conclusions:

  • The presented photonic architecture enables compact, scalable, and reconfigurable integrated systems for arbitrary linear transformations.
  • This approach is applicable to both classical and quantum photonic domains using current technology.
  • Offers a versatile platform for advanced photonic signal processing and quantum information tasks.