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Quantum Permutation Synchronization

CVPR 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Globally optimal geometric optimization · 37 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use QuantumSync on real Willow matching rather than the exhaustive solutionQuantumSync · Willow averageaccuracy: 0.88 ± 0.104 -> 0.87 ± 0.096Hurt
Use QuantumSync rather than the strongest listed classical baselineQuantumSync · Willow averageaccuracy: 0.87 ± 0.092 -> 0.87 ± 0.096No clear effect
Use QuantumSync rather than the exhaustive solutionQuantumSync · Willow Winebottleaccuracy: 0.95 ± 0.096 -> 0.93 ± 0.095Hurt
Choose chain strength χ=2 rather than χ=1 (ablation)QuantumSync · Synthetic n=3, m=3optimal solutions measured out of 200: 120.9 ± 48.8 -> 187.8 ± 11.5Helped
Choose chain strength χ=5 rather than χ=2 (ablation)QuantumSync · Synthetic n=3, m=3optimal solutions measured out of 200: 187.8 ± 11.5 -> 85.3 ± 23.6Hurt
Choose chain strength χ=3 rather than χ=1 (ablation)QuantumSync · Synthetic n=4, m=4optimal solutions measured out of 200: 0.1 ± 0.30 -> 17.3 ± 14.0Helped
Choose chain strength χ=5 rather than χ=3 (ablation)QuantumSync · Synthetic n=4, m=4optimal solutions measured out of 200: 17.3 ± 14.0 -> 1.42 ± 2.72Hurt
Adjust qubit biases to −√|sₖ| instead of using the derived weights (ablation)QuantumSync · Synthetic n=4, m=4optimal solutions measured out of 200: 1.38 ± 1.75 -> 17.3 ± 14.0Helped
Use binary variables with permutation-constraint regularization rather than restricting the exhaustive search directly to permutation matrices (ablation)QuantumSync · Synthetic n=3, m=3accuracyNo clear effect
Set regularization λ below 2 instead of using a sufficiently large value (ablation)QuantumSync · Synthetic n=3, m=3accuracyHurt
Remove zero couplings from the minor embedding (ablation)QuantumSync · D-Wave embeddingprobability of measuring the optimal solution in single annealingHelped
Apply CPU-based descent to annealer samples (ablation)QuantumSync · Sampling diverse energy-landscape modesmode diversityHurt

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