Measurement-based quantum computation utilizes an initial entangled resource state and proceeds with subsequent single-qubit measurements. It is implicitly assumed that the interactions between qubits can be switched off so that the dynamics of the measured qubits do not affect the computation. By proposing a model spin Hamiltonian, we demonstrate that measurement-based quantum computation can be achieved on a thermal state with always-on interactions. Moreover, computational errors induced by thermal fluctuations can be corrected and thus the computation can be executed fault-tolerantly if the temperature is below a threshold value.
@article{arxiv.1102.5153,
title = {Thermal States as Universal Resources for Quantum Computation with Always-on Interactions},
author = {Ying Li and Daniel E. Browne and Leong Chuan Kwek and Robert Raussendorf and Tzu-Chieh Wei},
journal= {arXiv preprint arXiv:1102.5153},
year = {2011}
}