Measurement-Based Quantum Computation on Symmetry Breaking Thermal States
Quantum Physics
2015-06-11 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
We consider measurement-based quantum computation (MBQC) on thermal states of the interacting cluster Hamiltonian containing interactions between the cluster stabilizers that undergoes thermal phase transitions. We show that the long-range order of the symmetry breaking thermal states below a critical temperature drastically enhance the robustness of MBQC against thermal excitations. Specifically, we show the enhancement in two-dimensional cases and prove that MBQC is topologically protected below the critical temperature in three-dimensional cases. The interacting cluster Hamiltonian allows us to perform MBQC even at a temperature an order of magnitude higher than that of the free cluster Hamiltonian.
Cite
@article{arxiv.1209.1265,
title = {Measurement-Based Quantum Computation on Symmetry Breaking Thermal States},
author = {Keisuke Fujii and Yoshifumi Nakata and Masayuki Ohzeki and Mio Murao},
journal= {arXiv preprint arXiv:1209.1265},
year = {2015}
}
Comments
8 pages, 7 figures