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Improving Shor’s Algorithm

ID: 13c6c048-99fc-56c4-b8ca-ba4b8265c817

STIX ID: report--13c6c048-99fc-56c4-b8ca-ba4b8265c817

Feed Name: Schneier on Security

Date Published: 2024-01-05

Date Updated: 2026-04-19

Author: Bruce Schneier

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A blog post outlines Oded Regev’s enhancement to Shor’s algorithm that reduces the quantum step complexity from O(n^2) to O(n^1.5) for factoring n-bit integers, at the expense of more qubits (from O(n) to O(n^1.5)); while still theoretical, the work could make practical quantum cryptanalysis of RSA and Diffie-Hellman more feasible in the future.

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