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This research introduces a streaming mixed-alphabet belief propagation decoder that utilizes space-time Tanner graphs to maintain correlations across multi-qubit faults in quantum memory. By employing an adaptive sliding window, the method effectively handles long-range error events without truncating critical information, achieving practical error thresholds for topological codes. This advancement addresses a key bottleneck in continuous quantum error correction by enabling more robust decoding under realistic operational conditions.
Space-time Tanner graphs capture multi-qubit errors in quantum memory

Streaming Belief Propagation on Mixed-Alphabet Tanner Graphs for Practical Quantum Memory Streaming Belief Propagation on Mixed-Alphabet Tanner Graphs for Practical Quantum Memory Kao-Yueh Kuo 1 and Ching-Yi Lai 2,3 1 Department of Electrical Engineering, Yuan Ze University, Taoyuan City, Taiwan 2 Institute of Communications Engineering, National Yang Ming Chiao Tung University, Hsinchu City, Taiwan.
Kao-Yueh Kuo of Yuan Ze University and Ching-Yi Lai of National Yang Ming Chiao Tung University developed a streaming mixed-alphabet belief propagation (SM-BP) decoder to address the growing challenge of processing error information in quantum memory. Their work constructs a space-time Tanner graph across multiple rounds of syndrome extraction, specifically designed to preserve correlations from multi-qubit faults. Simulations using the new SM-BP decoder achieved error thresholds of 0.4% to 0.87% for topological code families, demonstrating practical performance under realistic conditions. The researchers…
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