On Thermal Stability of Topological Qubit in Kitaev's 4D Model

DOI10.1142/S1230161210000023zbMath1190.81027arXiv0811.0033OpenAlexW2013345719WikidataQ112120001 ScholiaQ112120001MaRDI QIDQ5306185

Robert Alicki, Michał Horodecki, Ryszard Horodecki, Paweł Horodecki

Publication date: 8 April 2010

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0033

zbMATH Keywords

stabilitydecoherencequantum computationpolynomial algorithmmeasurementqubitKitaev modelthreshold theoremsquantum memoriesqubit observable

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Stochastic mechanics (including stochastic electrodynamics) (81P20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22)

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Cites Work

• An algebraic condition for the approach to equilibrium of an open N-level system
• Stationary states of quantum dynamical semigroups
• Fault-tolerant quantum computation by anyons
• Topological Computation without Braiding
• General teleportation channel, singlet fraction, and quasidistillation
• Topological quantum memory
• A statistical mechanics view on Kitaev's proposal for quantum memories

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