Field programmable gate array-assigned complex-valued computation and its limits.

Area of Science:

• Quantum Optics
• High-Performance Computing
• Hardware Acceleration

Background:

• Quantum optics simulations require significant computational resources.
• Real-time constraints necessitate low-latency processing.
• Conventional computing platforms may struggle with these demands.

Purpose of the Study:

• To investigate the use of Field Programmable Gate Arrays (FPGAs) for accelerating quantum optics simulations.
• To evaluate the performance of fixed-point arithmetic on FPGAs for complex-valued operations.
• To compare FPGA-based solutions with traditional central processing unit (CPU) implementations.

Main Methods:

• Implementation of complex-valued operations using fixed-point numeric on a Virtex-5 FPGA.
• Performance analysis of multiple fixed-point precision levels.
• Comparison with a standard 64-bit floating-point implementation on a CPU.
• Examination of relative error to assess simulation accuracy.

Main Results:

• FPGA implementations using fixed-point arithmetic demonstrate reduced latency compared to CPU solutions.
• Performance of fixed-point FPGA implementations is competitive with conventional methods.
• Analysis provides insights for estimating optimal execution times.
• Maintained simulation accuracy with examined fixed-point options.

Conclusions:

• Leveraging FPGAs in high-performance computing platforms effectively reduces latency for quantum optics simulations.
• Fixed-point implementations on FPGAs present a viable and efficient alternative for demanding real-time computations.
• The study provides a performance and accuracy trade-off analysis for selecting optimal FPGA configurations.