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

Abstract

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

30 pages, 18 figures

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• Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
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• The asymmetric resonant exchange qubit under the influence of electrical noise
• Dynamically corrected gates for an exchange-only qubit
• Spin of a multielectron quantum dot and its interaction with a neighboring electron
• Characterizing gate operations near the sweet spot of an exchange-only qubit
• The exchange-only singlet-only spin qubit
• Robust Two-Qubit Gates for Exchange-Coupled Qubits
• Decoherence of an exchange qubit by hyperfine interaction
• Read-out and Dynamics of the Qubit Built on Three Quantum Dots
• Simple operation sequences to couple and interchange quantum information between spin qubits of different kinds
• Hyperfine-induced dephasing in three-electron spin qubits
• Energy spectra of three electrons in SiGe/Si/SiGe laterally coupled triple quantum dots
• Low temperature decoherence dynamics in molecular spin systems using the Lindblad master equation