Quantum Random Walk onTwo Dimensional Lattice with Two-State Particle, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor)
Abstract
Quantum random walk is a computational model in quantum computation which is as powerful as other models like quantum circuit model. One dimensional random walks can be implemented in the laboratory by using a two-level quantum coin (e.g. the two states of a photon). For implementing higher dimensional random walks, one should simulate quantum coins with higher number of levels. This is difficult to implement experimentally. Various proposals try to bypass this problem, like the proposal of alternate walks in [C. DiFranco et al., Phys. Rev. Lett. 106, 080502(2011)]. Here we suggest an alternate solution: We use the bi-partite structure of some lattices to effectively act as a two-level...
Cataloging briefQuantum Random Walk onTwo Dimensional Lattice with Two-State Particle, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor)
Abstract
Quantum random walk is a computational model in quantum computation which is as powerful as other models like quantum circuit model. One dimensional random walks can be implemented in the laboratory by using a two-level quantum coin (e.g. the two states of a photon). For implementing higher dimensional random walks, one should simulate quantum coins with higher number of levels. This is difficult to implement experimentally. Various proposals try to bypass this problem, like the proposal of alternate walks in [C. DiFranco et al., Phys. Rev. Lett. 106, 080502(2011)]. Here we suggest an alternate solution: We use the bi-partite structure of some lattices to effectively act as a two-level...
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