Edge local complementation for logical cluster states
Abstract
A method is presented for the implementation of edge local complementation in graph states, based on the application of two Hadamard operations and a single controlled-phase (CZ) gate. As an application, we demonstrate an efficient scheme to construct a one-dimensional logical cluster state based on the five-qubit quantum error-correcting code, using a sequence of edge local complementations. A single physical CZ operation, together with local operations, is sufficient to create a logical CZ operation between two logical qubits. The same construction can be used to generate any encoded graph state. This approach in concatenation may allow one to create a hierarchical quantum network for quantum information tasks.
Cite
@article{arxiv.1105.3921,
title = {Edge local complementation for logical cluster states},
author = {Jaewoo Joo and David L. Feder},
journal= {arXiv preprint arXiv:1105.3921},
year = {2015}
}
Comments
15 pages, two figures, IOP style