Symmetry-protected phases for measurement-based quantum computation

Details Symmetry-protected phases for measurement-based quantum computation Symmetry-protected phases for measurement-based quantum computation

2012-01-23

arxiv.org/abs/1201.4877v2

Physics

Quantum Physics

5 pages, 1 figure, comments welcome; v2 fixed minor typographic errors

Scientific paper

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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