Wave Algorithms: Optimal Database Search and Catalysis

Details Wave Algorithms: Optimal Database Search and Catalysis Wave Algorithms: Optimal Database Search and Catalysis

2006-09-06

arxiv.org/abs/quant-ph/0609042v2

AIP Conference Proceedings 864 (2006) 261-272

Physics

Quantum Physics

12 pages, 4 figures, AIP proceedings style. Invited talk at the conference "Quantum Computing: BackAction 2006", IIT Kanpur, I

Scientific paper

10.1063/1.2400898

Grover's database search algorithm, although discovered in the context of quantum computation, can be implemented using any physical 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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