Continuous-Time Quantum Walk

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A continuous-time quantum walk (CTQW) on a graph , where
is the set of vertices (nodes) and
is the set of edges connecting the nodes, is defined as follows: Let
be the
adjacency matrix of
. The continuous-time quantum walk on the graph
is then defined by the unitary matrix
, where
is the imaginary unit and
. The probability
of a walk starting at vertex
ending up at vertex
at time
is given by
. The size and color of vertex
represent
when the system is measured.
Contributed by: Jackson Walters (August 2012)
Open content licensed under CC BY-NC-SA
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"Continuous-Time Quantum Walk"
http://demonstrations.wolfram.com/ContinuousTimeQuantumWalk/
Wolfram Demonstrations Project
Published: August 10 2012