%0 Journal Article
%A Bombin, H.
%A Chhajlany, R.W.
%A Horodecki, M.
%A Martín-Delgado Alcántara, Miguel Ángel
%T Self-correcting quantum computers
%D 2013
%@ 1367-2630
%U https://hdl.handle.net/20.500.14352/35622
%X Is the notion of a quantum computer (QC) resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting QCs. To this end, we first give a sufficient condition on the connectedness of excitations for a stabilizer code model to be a self-correcting quantum memory. We then study the two main examples of topological stabilizer codes in arbitrary dimensions and establish their self-correcting capabilities. Also, we address the transversality properties of topological color codes, showing that six-dimensional color codes provide a self-correcting model that allows the transversal and local implementation of a universal set of operations in seven spatial dimensions. Finally, we give a procedure for initializing such quantum memories at finite temperature.
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