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quant-ph2026
Exact and Optimal Recursive Quantum Search via Hilbert-Space Decomposition
John Burke, Ciaran McGoldrick
Current approaches to quantum search fail to deeply exploit extant structure in the underlying Hilbert space. Decomposing the search by this structure empowers new strategies and f…
quant-ph2026
Quantum Search without Global Diffusion
John Burke, Ciaran McGoldrick
Quantum search is among the most important algorithms in quantum computing. At its core is quantum amplitude amplification, a technique that achieves a quadratic speedup over class…