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Symmetry-protected phases for measurement-based quantum computation

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arxiv 1201.4877 v3 pith:EWIFNZ7I submitted 2012-01-23 quant-ph cond-mat.str-el

Symmetry-protected phases for measurement-based quantum computation

Dominic V. Else , Ilai Schwarz , Stephen D. Bartlett , Andrew C. Doherty This is my paper
classification quant-ph cond-mat.str-el
keywords quantummeasurement-basedcomputationgatesspinstatessymmetry-protectedability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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