BWhat changed
Boyer, Brassard, Hoyer and Tapp analyze quantum-search success after a specified number of iterations and give a randomized procedure with order sqrt(N/t) expected query cost when the positive number t of marked items is unknown.
Scientific scope
Boyer, Brassard, Hoyer and Tapp analyze quantum-search success after a specified number of iterations and give a randomized procedure with order sqrt(N/t) expected query cost when the positive number t of marked items is unknown. The target is the May 1996 preprint. The unknown-count procedure randomizes iteration counts, grows their range and checks observed candidates in the coherent unit-query oracle model. For a positive number t of marked items, its expected cost is O(sqrt(N/t)), not a deterministic deadline for every run. A zero-solution timeout is a bounded-error decision, not an unconditional absence proof. The counting section is a sketch rather than the complete later amplitude-estimation theory. Grover’s underlying iteration and earlier lower-bound work retain separate credit.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Michel Boyer · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Gilles Brassard · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Peter Høyer · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Alain Tapp · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Boyer, Brassard, Hoyer and Tapp, Tight bounds on quantum searching, exact 1996 ar Xivv 1
- Grover, A fast quantum mechanical algorithm for database search, exact 1996 ar Xivv 3
- BBHT exactv 1 repository identity and complete 4 author byline
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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