Peer-Reviewed Journal Details
Mandatory Fields
Di Franco, C,Mc Gettrick, M,Busch, T
2011
February
Physical Review Letters
Mimicking the Probability Distribution of a Two-Dimensional Grover Walk with a Single-Qubit Coin
Published
()
Optional Fields
QUANTUM RANDOM-WALKS ENTANGLEMENT COHERENCE
106
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.
ARTN 080502
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