Physics – Quantum Physics
Scientific paper
2005-07-28
Physical Review A 72, 062317 (2005)
Physics
Quantum Physics
revtex4, 8 pages, 6 figures, submitted to PRA
Scientific paper
10.1103/PhysRevA.72.062317
We present an experimental implementation of the coined discrete time quantum walk on a square using a three qubit liquid state nuclear magnetic resonance (NMR) quantum information processor (QIP). Contrary to its classical counterpart, we observe complete interference after certain steps and a periodicity in the evolution. Complete state tomography has been performed for each of the eight steps making a full period. The results have extremely high fidelity with the expected states and show clearly the effects of quantum interference in the walk. We also show and discuss the importance of choosing a molecule with a natural Hamiltonian well suited to NMR QIP by implementing the same algorithm on a second molecule. Finally, we show experimentally that decoherence after each step makes the statistics of the quantum walk tend to that of the classical random walk.
Boileau Jean-Christian
Laflamme Raymond
Laforest Marc
Ryan Colm A.
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