Universal programmable waveguide arrays
Akram Youssry, Alberto Peruzzo

TL;DR
This paper introduces a theoretical framework demonstrating that programmable waveguide arrays can implement any unitary transformation, offering a scalable platform for quantum and classical information processing applications.
Contribution
It provides a mathematical proof and optimization method showing PWAs as a universal, scalable architecture for implementing arbitrary unitaries in quantum and classical systems.
Findings
Cascaded PWAs can realize any unitary matrix within practical constraints.
Numerical optimization enables customized PWA designs for specific applications.
PWAs bridge quantum and classical computing, enabling advanced information processing.
Abstract
Implementing arbitrary unitary transformations is crucial for applications in quantum computing, signal processing, and machine learning. Unitaries govern quantum state evolution, enabling reversible transformations critical in quantum tasks like cryptography and simulation and playing key roles in classical domains such as dimensionality reduction and signal compression. Integrated optical waveguide arrays have emerged as a promising platform for these transformations, offering scalability for both quantum and classical systems. However, scalable and efficient methods for implementing arbitrary unitaries remain challenging. Here, we present a theoretical framework for realizing arbitrary unitary matrices through programmable waveguide arrays (PWAs). We provide a mathematical proof demonstrating that cascaded PWAs can implement any unitary matrix within practical constraints, along with…
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Taxonomy
TopicsAntenna Design and Optimization · Microwave Engineering and Waveguides · Embedded Systems Design Techniques
