期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 35, 期 12, 页码 2745-2753出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/35/12/304
关键词
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We analyse the quantum walk in higher spatial dimensions and compare classical and quantum spreading as a function of time. Tensor products of Hadamard transformations and the discrete Fourier transform arise as natural extensions of the quantum coin toss' in the one-dimensional walk simulation, and other illustrative transformations are also investigated. We find that entanglement between the dimensions serves to reduce the rate of spread of the quantum walk. The classical limit is obtained by introducing a random phase variable.
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