title: Constraints on measurement-based quantum computation in effective cluster states.
abstract: The aim of this work is to study the physical properties of a one-way quantum computer in an effective low-energy cluster state. We calculate the optimal working conditions as a function of the temperature and of the system parameters. The central result of our work is that any effective cluster state implemented in a perturbative framework is fragile against special kinds of external perturbations. Qualitative aspects of our work are important for any implementation of effective low-energy models containing strong multisite interactions.
authors.affiliation: Lehrstuhl für Theoretische Physik I, Otto-Hahn-Straße 4, TU Dortmund, D-44221 Dortmund, Germany. klagges@fkt.physik.tu-dortmund.de
authors.forename: Daniel
authors.initials: D
authors.lastname: Klagges
authors.forename: Kai Phillip
authors.initials: KP
authors.lastname: Schmidt