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

###### Associated People:

Robert Raussendorf (University of British Columbia)

Tzu-Chieh Wei (University of British Columbia)

Ian Affleck (University of British Columbia)

###### Associated Sites:

PIMS University of British Columbia###### Associated PIMS Programs:

Robert Raussendorf and his colleagues Tzu-Chieh Wei and Ian Affleck at the University of British Columbia showed that Affleck-Kennedy-Lieb-Tasaki states, which are ground states of a simple, highly symmetric Hamiltonian, can serve as a universal resource for quantum computation by local measurement. Their result, which makes use of percolation theory, opens the possibility that universal computational resources could be obtained simply by cooling.

###### References

- R. Raussendorf, T.C. Wei, I. Affleck
*Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource*Phys. Rev. Lett. 106, 070501 (2011)