Journal
PHYSICAL REVIEW LETTERS
Volume 106, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.080502
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Funding
- Science Foundation Ireland [05/IN/I852, 05/IN/I852 NS]
- Irish Research Council for Science, Engineering and Technology
- Science Foundation Ireland (SFI) [05/IN/I852] Funding Source: Science Foundation Ireland (SFI)
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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.
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