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2012

Symmetry-protected phases for measurement-based quantum computation

Else, Dominic V., Schwarz, Ilai, Bartlett, Stephen D. et al.

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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.

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