Topological order in 1D Cluster state protected by symmetry
Quantum Physics
2014-03-11 v2
Abstract
We demonstrate how to construct the Z2*Z2 global symmetry which protects the ground state degeneracy of cluster states for open boundary conditions. Such a degeneracy ultimately arises because the set of stabilizers do not span a complete set of integrals of motion of the cluster state Hamiltonian for open boundary conditions. By applying control phase transformations, our construction makes the stabilizers into the Pauli operators spanning the qubit Hilbert space from which the degeneracy comes.
Keywords
Cite
@article{arxiv.1111.7173,
title = {Topological order in 1D Cluster state protected by symmetry},
author = {Wonmin Son and Luigi Amico and Vlatko Vedral},
journal= {arXiv preprint arXiv:1111.7173},
year = {2014}
}
Comments
1 figure, To be published in Quantum Information Processing