Switching and partially switching the hypercube while maintaining perfect state transfer

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dc.contributor.authorKirkland, S.
dc.contributor.authorPlosker, S.
dc.contributor.authorZhang, X.
dc.date.accessioned2019-06-24T15:49:18Z
dc.date.available2019-06-24T15:49:18Z
dc.date.issued2019
dc.date.submitted2019-06-21T16:50:11Zen
dc.description.abstractA graph is said to exhibit perfect state transfer (PST) if one of its corresponding Hamiltonian matrices, which are based on the vertex-edge structure of the graph, gives rise to PST in a quantum information-theoretic context, namely with respect to inter-qubit interactions of a quantum system. We perform various perturbations to the hypercube graph - a graph that is known to exhibit PST - to create graphs that maintain many of the same properties of the hypercube, including PST as well as the distance for which PST occurs. We show that the sensitivity with respect to readout time errors remains unaffected for the vertices involved in PST. We give motivation for when these perturbations may be physically desirable or even necessary.en_US
dc.description.sponsorshipNSERC, UM Faculty of Science, UM Faculty of Graduate Studiesen_US
dc.identifier.urihttp://hdl.handle.net/1993/34000
dc.publisherQuantum Information and Computation 19, 0541-0554.en_US
dc.rightsopen accessen_US
dc.subjectquantum State transfer. Perfect state transfer. Adjacency matrices. Hypercubes. Godsil-McKay switching.en_US
dc.titleSwitching and partially switching the hypercube while maintaining perfect state transferen_US
dc.typeArticleen_US
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