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Quantum Error Correction Fault Tolerance
Edge local complementation for logical cluster states
arXiv
Authors: Jaewoo Joo, David L. Feder
Year
2011
Paper ID
8748
Status
Preprint
Abstract Read
~2 min
Abstract Words
107
Citations
N/A
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.
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- 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...
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