Work

Quantum random walks in higher dimensions

Year: 2001

Type: preprint

Abstract: We analyze the quantum random 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 random walk simulation, and other illustrative transformations are also investigated. The classical limit is obtained by introducing a random phase variable.

Source: arXiv (Cornell University)

Authors: Troy D. Mackay, Stephen D. Bartlett, Leigh T. Stephenson, Barry C. Sanders

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2799947624

Cites:

Cited by: 1

Related to: 10