Physics – Quantum Physics
Scientific paper
2010-10-12
Phys. Rev. Lett. 106, 080502 (2011)
Physics
Quantum Physics
5 pages, 2 figures, RevTeX4
Scientific paper
10.1103/PhysRevLett.106.080502
Multi-dimensional quantum walks usually require large coin spaces. Here we show that the non-localized 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. 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. We show that our experimentally simpler scheme allows to entangle the two orthogonal directions of the walk more efficiently.
Busch Th.
Franco C. Di
McGettrick Michael
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