Finite temperature quantum simulation of stabilizer Hamiltonians
Kevin C Young, Mohan Sarovar, Jon M. Aytac, Chris M. Herdman, K. Birgitta Whaley · Journal of Physics B Atomic Molecular and Optical Physics · 2012
We present a scheme for robust finite temperature quantum simulation of stabilizer Hamiltonians. The scheme is designed for realization in a physical system consisting of a finite set of neutral atoms trapped in an addressable optical lattice that are controllable via 1- and 2-body operations together with dissipative 1-body operations such as optical pumping. We show that these minimal physical constraints suffice for design of a quantum simulation scheme for any stabilizer Hamiltonian at either finite or zero temperature. We demonstrate the approach with application to the abelian and non-abelian toric codes.