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Thermal stability of two-dimensional Topological Color Code by Mohseninia, Razieh is a scholarly article available to read on EtoBox.

What is Thermal stability of two-dimensional Topological Color Code about?

Thermal stability of the Topological Color Code in presence of a thermal bath is studied. We study the Lindblad evolution of the observables in the weak coupling limit of the Born-Markov approximation. The auto-correlation functions of the observables are used as a figure of merit for the thermal stability. We show that all of the observables auto-correlation functions decay exponentially in time. By finding a lower bound of the decay rate, which is a constant independent of the system size, we show that the Topological Color Code is unstable against thermal fluctuations from the bath at finite temperature, even though it is stable at T=0 against local quantum perturbations.

Author

Mohseninia, Razieh

Published

2016

Language

EN