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Updated: Nov 8, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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.
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.
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.
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