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quant-ph2026
A Sharp Noise Threshold for Shor's Quantum Factoring and Discrete Log Algorithms
Jin-Yi Cai, Ben Young
We study the asymptotic behavior of Shor's quantum factoring and discrete log algorithms when noise affects the precise controlled rotation gates in their quantum Fourier transform…
cs.CC2026
Planar Graph Homomorphisms: A Dichotomy and a Barrier from Quantum Groups
Jin-Yi Cai, Ashwin Maran, Ben Young
We study the complexity of counting (weighted) planar graph homomorphism problem parametrized by an arbitrary symmetric non-negative real valued matrix .…