A statistical mechanics view on Kitaev's proposal for quantum memories

Abstract

We compute rigorously the ground and equilibrium states for Kitaev's model in 2D, both the finite and infinite version, 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.

References in corpus (4)

• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
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Cited by in corpus (9)

• A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
• A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation
• Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems
• Entanglement and topological entropy of the toric code at finite temperature
• On thermalization in Kitaev's 2D model
• Error Threshold for Color Codes and Random 3-Body Ising Models
• Simulations of quantum double models
• Implementation of Clifford gates in the Ising-anyon topological quantum computer
• Decay of fidelity in terms of correlation functions