QuantumAlgorithms.aiA citable library

Reference · 1997

Strengths and weaknesses of quantum computing

Bennett, C. H., Bernstein, E., Brassard, G., & Vazirani, U. (1997). Strengths and weaknesses of quantum computing. SIAM Journal on Computing, 26(5), 1510–1523.

DOIarXivRecord link

Authors
Charles H. Bennett; Ethan Bernstein; Gilles Brassard; Umesh Vazirani
Venue
SIAM Journal on Computing 26(5), 1510–1523

Proves that, relative to a random oracle, NP cannot be solved on a quantum Turing machine in time o(2^(n/2)), and notes that Grover's O(2^(n/2)) algorithm makes the bound tight. This library cites that statement on Grover's algorithm and in the cryptography and optimization stubs, including the authors' caution that an oracle result does not by itself refute NP ⊆ BQP.

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Updated 7 Oct 2026.