Publication

Mimicking the probability distribution of a two-dimensional grover walk with a single-qubit coin

Di Franco, C.
; 
Mc Gettrick, M.
; 
Busch, Th.
Identifiers
http://hdl.handle.net/10379/11186
 https://doi.org/10.13025/27439
Publication Date
2011-02-24
Keywords
quantum random-walks, entanglement, coherence
Type
Article
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Citation
Di Franco, C. Mc Gettrick, M.; Busch, Th. (2011). Mimicking the probability distribution of a two-dimensional grover walk with a single-qubit coin. Physical Review Letters 106 (8),
Abstract
The nonlocalized case of the spatial density probability of the two-dimensional Grover walk can be obtained using only a two-dimensional coin space and a quantum walk in alternate directions. This significantly reduces the resources necessary for its feasible experimental realization. We present a formal proof of this correspondence and analyze the behavior of the coin-position entanglement as well as the x-y spatial entanglement in our scheme with respect to the Grover one. Our scheme allows us to entangle the two orthogonal directions of the walk more efficiently.
Funder
Publisher
American Physical Society (APS)
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)