Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2011
- DOI:
- 10.1103/PhysRevLett.106.070501
- arXiv:
- arXiv:1009.2840
- Bibcode:
- 2011PhRvL.106g0501W
- Keywords:
-
- 03.67.Ac;
- 03.67.Lx;
- 64.60.ah;
- 75.10.Jm;
- Quantum algorithms protocols and simulations;
- Quantum computation;
- Percolation;
- Quantized spin models;
- Quantum Physics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 21 pages, 13 figures, long version of Phys. Rev. Lett. 106, 070501 (2011) or arXiv:1102.5064