Universal resources for measurement-based quantum computation

Details Universal resources for measurement-based quantum computation Universal resources for measurement-based quantum computation

2006-04-03

arxiv.org/abs/quant-ph/0604010v2

Phys. Rev. Lett. 97, 150504 (2006)

Physics

Quantum Physics

4 pages, 1 figure; final version

Scientific paper

10.1103/PhysRevLett.97.150504

We investigate which entanglement resources allow universal measurement-based quantum computation via single-qubit operations. We find that any entanglement feature exhibited by the 2D cluster state must also be present in any other universal resource. We obtain a powerful criterion to assess universality of graph states, by introducing an entanglement measure which necessarily grows unboundedly with the system size for all universal resource states. Furthermore, we prove that graph states associated with 2D lattices such as the hexagonal and triangular lattice are universal, and obtain the first example of a universal non-graph state.

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