### Session Y27: Focus Session: Semiconductor Qubits- In Search of Majorana

8:00 AM–11:00 AM, Friday, March 25, 2011
Room: C155

Chair: Gil Refael, California Institute of Technology

Abstract ID: BAPS.2011.MAR.Y27.14

### Abstract: Y27.00014 : Exactly solvable 3D quantum model with finite temperature topological order

10:36 AM–10:48 AM

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#### Author:

Isaac Kim
(Institute of Quantum Information)

We present a family of exactly solvable spin-$\frac{1}{2}$ quantum hamiltonians on a 3D lattice. The degenerate ground state of the system is characterized by a quantum error correcting code whose number of encoded qubits are equal to the second Betti number of the manifold. These models 1) have solely local interactions 2) admit a strong-weak duality relation with an Ising model on a dual lattice 3) have topological order in the ground state, some of which survive at finite temperature. The associated quantum error correcting codes are all non-CSS stabilizer codes.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.Y27.14