Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource

Details Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource

2011-02-24

arxiv.org/abs/1102.5064v1

Phys. Rev. Lett. 106, 070501 (2011)

Physics

Quantum Physics

4+2 pages, 4 figures, PRL short version of arXiv:1009.2840, see also alternative approach by A. Miyake, arXiv:1009.3491

Scientific paper

10.1103/PhysRevLett.106.070501

Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state, such as cluster states. The family of Affleck-Kennedy-Lieb-Tasaki states has recently been intensively explored and shown to provide restricted computation. Here, we show that the two-dimensional Affleck-Kennedy-Lieb-Tasaki state on a honeycomb lattice is a universal resource for measurement-based quantum computation.

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