FPGA-Based Architecture for Quantum LDPC Error Correction

Description:

This technology introduces a hardware-accelerated, distributed Quantum Low-Density Parity-Check (LDPC) decoder implemented on FPGA, designed to optimize the Union–Find decoding algorithm for scalable, high-throughput quantum error correction. By leveraging multiple BRAM banks to eliminate read/write contention and using a pipelined merge engine alongside parallel hardware update units, the architecture achieves real-time, low-latency decoding suitable for next-generation quantum processors. The solution is validated at the prototype stage with a co-simulation verification pipeline integrating Stim, Python, and Verilog to simulate quantum noise models accurately.

Key Advantages:

• Conflict-free distributed BRAM-banked syndrome routing eliminating access contention.
• Pipelined multi-stage Union–Find merge engine enhancing decoding throughput.
• Parallel CN/VN hardware update units maximizing concurrency through static scheduling.
• Fully deployable on low-cost, commercially available FPGA platforms.
• Robust validation through an integrated co-simulation pipeline ensuring accuracy against quantum noise.
• Scalable architecture capable of supporting complex, large quantum error correction codes.

Problems Solved:

• Reducing latency in quantum error correction decoding processes.
• Eliminating read/write conflicts in syndrome data access across memory banks.
• Overcoming software-based decoder performance bottlenecks through hardware acceleration.
• Providing a scalable and efficient solution compatible with evolving quantum hardware demands.
• Ensuring real-time fault-tolerant quantum computation feasibility.

Market Applications:

• Quantum hardware manufacturers including IBM, Google, and Microsoft seeking hardware error correction solutions.
• Next-generation quantum processor error correction modules.
• Real-time quantum computing error mitigation and control systems.
• FPGA-based quantum computing research and development platforms.
• Quantum algorithm verification and noise modeling toolkits.