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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.3 No.5, September 2003 |
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Logical network
implementation for graph codes and cluster states
(pp431-449)
Dirk-M Schlingemann
doi:
https://doi.org/10.26421/QIC3.5-4
Abstracts:
In a previous paper a straight forward construction
method for quantum error correcting codes, based on graphs, has been
presented. These graph codes are directly related to cluster states
which have been introduced by Briegel and Raussendorf. We show that the
preparation of a cluster state as well as the coding operation for a
graph code, can be implemented by a logical network by only using one
type of two-qubit gate, e.g. CNOT or controlled Phase, and one type of
one-qubit gate, e.g. the Hadamard transform. Concerning the qubit case
each vertex corresponds to an Hadamard gate and each edge corresponds to
a controlled not gate.
Key words: cluster
states, coding operation, CNOT phase |
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