R Alicki et al 2007 J. Phys. A: Math. Theor. 40 6451 doi:10.1088/1751-8113/40/24/012
R Alicki1, M Fannes2 and M Horodecki1
Show affiliationsWe compute rigorously the ground and equilibrium states for Kitaev's model in 2D, both the finite and infinite versions, using an analogy with the 1D Ising ferromagnet. Next, we investigate the structure of the reduced dynamics in the presence of thermal baths in the Markovian regime. Special attention is paid to the dynamics of the topological freedoms which have been proposed for storing quantum information.
03.67.Lx Quantum computation architectures and implementations
03.65.Vf Phases: geometric; dynamic or topological
03.65.Yz Decoherence; open systems; quantum statistical methods
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
Issue 24 (15 June 2007)
Received 12 February 2007, in final form 30 April 2007
Published 30 May 2007
R Alicki et al 2007 J. Phys. A: Math. Theor. 40 6451
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