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Proceedings Paper

Application of equivalence classes to the efficient construction of cluster states
Author(s): Gerald Gilbert; Michael Hamrick; Yaakov S. Weinstein
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Paper Abstract

We demonstrate a method of constructing L-shape cluster states by exploiting equivalence class properties of graph states. The L-shape cluster state is a primitive which can be used to construct cluster states capable of supporting universal quantum computation. The method is device independent but is shown to be considerably more efficient than previously proposed approaches for photonic cluster construction. Two-dimensional photonic cluster states can be efficiently built via local unitaries and type-I fusion only. To allow for a complete calculation of the cost of two-dimensional photonic cluster-state construction, we also provide a recursion relation relating the length of a photonic cluster chain to the average resources required.

Paper Details

Date Published: 12 May 2006
PDF: 9 pages
Proc. SPIE 6244, Quantum Information and Computation IV, 62440U (12 May 2006); doi: 10.1117/12.666118
Show Author Affiliations
Gerald Gilbert, MITRE Corp. (United States)
Michael Hamrick, MITRE Corp. (United States)
Yaakov S. Weinstein, MITRE Corp. (United States)

Published in SPIE Proceedings Vol. 6244:
Quantum Information and Computation IV
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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