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Reference · 2026

A sharp noise threshold for Shor's quantum factoring and discrete log algorithms

Cai, J.-Y., & Young, B. (2026). A sharp noise threshold for Shor's quantum factoring and discrete log algorithms. arXiv:2609.24316.

arXivRecord link

Authors
Jin-Yi Cai; Ben Young
Venue
arXiv:2609.24316

Cited from the 12 Oct 2026 digest for Theorems 3.3 and 4.3: expected polynomial time below the threshold, and exponentially small success probability above it on a positive-density set of primes. Also cited from Shor's algorithm and from cryptography, which point at that digest rather than restating the model.

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Updated 12 Oct 2026.