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Logical network implementation for cluster states and graph codes

2002/02/01 by Dirk Schlingemann, Schlingemann, Dirk · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Interconnection Networks and Systems #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0202007

8 pages,10 figures, RevTeX

arxiv created 2002/02/01 · openalex publication_date 2002/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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. Concerning the qubit case each vertex corresponds to an Hadamard gate and each edge corresponds to a controlled not gate.

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