6,480 research outputs found
Two-dimensional small-world networks: navigation with local information
Navigation process is studied on a variant of the Watts-Strogatz small world
network model embedded on a square lattice. With probability , each vertex
sends out a long range link, and the probability of the other end of this link
falling on a vertex at lattice distance away decays as .
Vertices on the network have knowledge of only their nearest neighbors. In a
navigation process, messages are forwarded to a designated target. For and , a scaling relation is found between the average actual
path length and , where is the average length of the additional long
range links. Given , dynamic small world effect is observed, and the
behavior of the scaling function at large enough is obtained. At and 3, this kind of scaling breaks down, and different functions of the
average actual path length are obtained. For , the average actual
path length is nearly linear with network size.Comment: Accepted for publication in Phys. Rev.
Quantum information processing architecture with endohedral fullerenes in a carbon nanotube
A potential quantum information processor is proposed using a fullerene
peapod, i.e., an array of the endohedral fullerenes 15N@C60 or 31P@C60
contained in a single walled carbon nanotube (SWCNT). The qubits are encoded in
the nuclear spins of the doped atoms, while the electronic spins are used for
initialization and readout, as well as for two-qubit operations.Comment: 8 pages, 8 figure
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