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We analyze the influence of noise for qubits implemented using a triplequantum dot spin system. We give a detailed description of the physicalrealization and develop error models for the dominant external noise sources.We use a Davies master equation approach to describe their influence on thequbit. The triple dot system contains two meaningful realizations of a qubit:We consider a subspace and a subsystem of the full Hilbert space to implementthe qubit. We test the robustness of these two implementations with respect tothe qubit stability. When performing the noise analysis, we extract the initialtime evolution of the qubit using a Nakajima-Zwanzig approach. We find that theinitial time evolution, which is essential for qubit applications, decouplesfrom the long time dynamics of the system. We extract probabilities for thequbit errors of dephasing, relaxation and leakage. Using the Davies model todescribe the environment simplifies the noise analysis. It allows us toconstruct simple toy models, which closely describe the error probabilities.

Noise Analysis of Qubits Implemented in Triple Quantum Dot Systems in a Davies Master Equation Approach