Measurement-Based Quantum Computation on Symmetry Breaking Thermal States

2012/09/06 by Keisuke Fujii, Yoshifumi Nakata, Masayuki Ohzeki +1
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevlett.110.120502

published as Phys. Rev. Lett. 110 120502, (2013) · 8 pages, 7 figures

arxiv created 2012/09/06 · openalex publication_date 2013/03/21 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

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