Optimal Database Search: Waves and Catalysis

Details Optimal Database Search: Waves and Catalysis Optimal Database Search: Waves and Catalysis

2004-01-25

arxiv.org/abs/quant-ph/0401154v4

International Journal of Quantum Information 4 (2006) 815-825; Erratum 5 (2007) 437

Physics

Quantum Physics

4 pages (v2) 6 pages, RevTeX4. Title changed. Substantially expanded to include stability considerations, quantum domain analy

Scientific paper

Grover's database search algorithm, although discovered in the context of quantum computation, can be implemented using any system that allows superposition of states. A physical realization of this algorithm is described using coupled simple harmonic oscillators, which can be exactly solved in both classical and quantum domains. Classical wave algorithms are far more stable against decoherence compared to their quantum counterparts. In addition to providing convenient demonstration models, they may have a role in practical situations, such as catalysis.

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