Measurement-based quantum computation on symmetry breaking thermal states

Keisuke Fujii, Yoshifumi Nakata, Masayuki Ohzeki, Mio Murao

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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 enhances 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 1 order of magnitude higher than that of the free cluster Hamiltonian.

Original languageEnglish
Article number120502
JournalPhysical Review Letters
Issue number12
Publication statusPublished - 2013 Mar 21


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