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Science

Computation from Geometry

Seth Lloyd

Published Jun 1, 2001• 8 citations
Publisher

Abstract

Quantum computation is usually performed through optical or magnetic resonance and does not obviously have anything to do with geometry. But, as [Lloyd][1] explains in his Perspective, computation can benefit from geometry. He highlights the report by [ Duan et al .][2], who have found a way to exploit geometry to perform quantum computations more efficiently through sending quantum bits for walks through potential space. [1]: http://www.sciencemag.org/cgi/content/full/292/5522/1669 [2]: http://www.sciencemag.org/cgi/content/short/292/5522/1695

DOI
10.1126/science.1062065

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Quantum computation is usually performed through optical or magnetic resonance and does not obviously have anything to do with geometry. But, as Lloyd explains in his Perspective, computation can benefit from geometry. He highlights the report by Duan et al ., who have found a way to exploit geometry to perform quantum computations more efficiently through sending quantum bits for walks through potential space.
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Quantum entanglement, in which the physical properties of particles become correlated, is an essential property of quantum information systems. In their Perspective, [Cory and Havel][1] discuss results reported in the same issue by [ Roos et al .][2] and by [ Leibfried et al .][3] in which trapped ions were put into entangled quantum states. The two complementary studies show that substantial progress is being made in quantum information processing and point to practical applications of entangled states. [1]: http://www.sciencemag.org/cgi/content/full/304/5676/1456 [2]: http://www.sciencemag.org/cgi/content/short/304/5676/1478 [3]: http://www.sciencemag.org/cgi/content/short/304/5676/1476
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