title: Symmetry-protected phases for measurement-based quantum computation.
abstract: Ground states of spin lattices can serve as a resource for measurement-based quantum computation. Ideally, the ability to perform quantum gates via measurements on such states would be insensitive to small variations in the Hamiltonian. Here, we describe a class of symmetry-protected topological orders in one-dimensional systems, any one of which ensures the perfect operation of the identity gate. As a result, measurement-based quantum gates can be a robust property of an entire phase in a quantum spin lattice, when protected by an appropriate symmetry.
authors.affiliation: Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia.
authors.forename: Dominic V
authors.initials: DV
authors.lastname: Else
authors.forename: Ilai
authors.initials: I
authors.lastname: Schwarz
authors.forename: Stephen D
authors.initials: SD
authors.lastname: Bartlett
authors.forename: Andrew C
authors.initials: AC
authors.lastname: Doherty