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Nanophotonic Phased Array XY Hamiltonian Solver Analysis


Conceitos essenciais
Using a compact silicon photonic integrated circuit optical phased array, the authors demonstrate a nanophotonic XY Hamiltonian solver for NP-hard problems. The approach combines analog phase shifters to simulate continuous spins and achieve high-speed optimization.
Resumo

The content discusses the development of a nanophotonic XY Hamiltonian solver using a silicon photonic integrated circuit optical phased array (PIC-OPA). This innovative approach aims to address computationally hard optimization problems by leveraging physics-based phenomena in photonics devices. The PIC-OPA allows for the simulation of an all-to-all coupled XY model, showcasing its potential as a compact, low-power, and high-speed solver for NP-hard problems. By controlling both phase and intensity in future OPAs, more general graphs beyond all-to-all coupled models can be solved efficiently.

The authors highlight the significance of solving NP-hard combinatorial optimization problems through Ising and XY Hamiltonians mapped from physical systems. They emphasize the advantages of photonic Ising solvers using spatial light modulators over traditional methods due to their parallelism and speed. The study showcases the potential of OPAs as efficient solvers for continuous variable optimization problems with promising scalability and compatibility with electronic integration.

Furthermore, the content delves into the experimental implementation of an 8x8 optical phased array OPA architecture to solve a 64-node all-to-all coupled XY model. The results demonstrate successful energy minimization and spin configuration retrieval through genetic algorithms and Gerchberg-Saxton phase retrieval techniques. The study also discusses sources of noise in the solver process and explores future possibilities for enhancing OPA capabilities to solve more complex graph models.

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Estatísticas
Solving large-scale computationally hard optimization problems has hit a bottleneck. Programmable spatial light modulators have shown promise in solving Ising model problems. Silicon PIC-OPAs offer fast spin refresh rates of 300 kHz and low power consumption. Genetic algorithm used only 3000 calls to obtain convergence close to true minimum. Future generation OPAs with intensity control can solve Mattis model Hamiltonians.
Citações
"Photonic devices have shown promise as alternative optimization architectures." "Our results show the utility of PIC-OPAs as compact, low power, and high-speed solvers for NP-hard problems." "The Gerchberg-Saxton algorithm scales with the number of pixels in the far field image."

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by Michelle Cha... às arxiv.org 03-12-2024

https://arxiv.org/pdf/2402.01153.pdf
Nanophotonic Phased Array XY Hamiltonian Solver

Perguntas Mais Profundas

How might advancements in nanophotonics impact traditional computing paradigms?

Advancements in nanophotonics have the potential to revolutionize traditional computing paradigms by offering new ways to process information. Nanophotonic devices can enable faster data processing speeds, higher bandwidths, and lower power consumption compared to conventional electronic devices. This could lead to significant improvements in areas such as artificial intelligence, data analytics, and high-performance computing. Additionally, the parallelism inherent in photonics can allow for efficient processing of large-scale computational problems that are challenging for classical computers.

What are potential drawbacks or limitations of relying on physics-based solvers for computational tasks?

While physics-based solvers offer promising solutions for computationally hard optimization problems, there are some drawbacks and limitations to consider. One limitation is the complexity involved in designing and implementing these systems, which may require specialized knowledge and expertise. Additionally, the performance of physics-based solvers can be affected by factors such as noise, calibration errors, and environmental conditions. Another drawback is the scalability of these systems; scaling up to solve larger or more complex problems may pose challenges.

How could developments in photonic computing influence other scientific disciplines or industries?

Developments in photonic computing have the potential to impact various scientific disciplines and industries. In telecommunications, photonic computing could lead to faster data transmission rates and improved network efficiency. In healthcare, it could enhance medical imaging techniques and accelerate drug discovery processes through advanced simulations. Furthermore, applications in quantum technologies could revolutionize cryptography and secure communication protocols. Overall, advancements in photonic computing hold promise for transforming a wide range of fields with their speed, efficiency, and scalability capabilities.
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