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- W2949517543 abstract "We explicitate the relation between Hamiltonians for networks of interacting qubits in the XYZ model and graph Laplacians. We then study evolution in networks in which all sites can communicate with each other. These are modeled by the complete graph K_{n} and called all-to-all networks. It turns out that K_{n} does not exhibit perfect state transfer (PST). However, we prove that deleting an edge in K_{n} allows PST between the two non-adjacent sites, when n is a multiple of four. An application is routing a qubit over n different sites, by switching off the link between the sites that we wish to put in communication. Additionally, we observe that, in certain cases, the unitary inducing evolution in K_{n} is equivalent to the Grover operator." @default.
- W2949517543 created "2019-06-27" @default.
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- W2949517543 date "2008-08-06" @default.
- W2949517543 modified "2023-10-01" @default.
- W2949517543 title "Communication in XYZ All-to-All Quantum Networks with a Missing Link" @default.
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- W2949517543 hasPublicationYear "2008" @default.
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