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Quantum Algorithms
A rigorous guide to quantum algorithms and the evidence required for useful advantage
From gate-level primitives to complete resource estimates: what quantum algorithms promise, where they are proven, and what remains open.
Algorithm foundations
Quantum algorithms encode problems into amplitudes, phases and interference. Understanding oracles, query complexity and reversible circuits separates proven ideas from speculation.
Known speedups and caveats
Grover, Shor and linear-systems methods demonstrate speedups for specific structures. Each requires assumptions about cost, noise and input access that must be checked.
What remains open
Practical advantage depends on fault-tolerant overhead, classical baselines, error rates and end-to-end runtime — not qubit count alone.
Strategic intelligence access
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