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Quantum walks and quantum search on graphene lattices (2015)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2015). Quantum walks and quantum search on graphene lattices. Physical Review A, 91(6), Article 062323. https://doi.org/10.1103/PhysRevA.91.062323

Quantum walks have been very useful in developing search algorithms in quantum information, in particular for devising of spatial search algorithms. However, the construction of continuous-time quantum search algorithms in two-dimensional lattices ha... Read More about Quantum walks and quantum search on graphene lattices.

Microwave experiments simulating quantum search and directed transport in artificial graphene (2015)
Journal Article
Böhm, J., Bellec, M., Mortessagne, F., Kuhl, U., Barkhofen, S., Gehler, S., …Tanner, G. (2015). Microwave experiments simulating quantum search and directed transport in artificial graphene. Physical Review Letters, 114(11), Article 110501. https://doi.org/10.1103/PhysRevLett.114.110501

A series of quantum search algorithms have been proposed recently providing an algebraic speedup compared to classical search algorithms from N to \sqrt{N}, where N is the number of items in the search space. In particular, devising searches on regul... Read More about Microwave experiments simulating quantum search and directed transport in artificial graphene.