Hyperfine-Induced Decay in Triple Quantum Dots

Abstract

We analyze the effects of hyperfine interactions on coherent control experiments in triple quantum dots. By exploiting Hamiltonian symmetries and the SU(3) structure of the triple-dot system under pseudo-exchange and longitudinal hyperfine couplings, we provide analytic formulae for the hyperfine decay of triple-dot Rabi and dephasing experiments.

5 pages, 2 figures

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• Coherent control of three-spin states in a triple quantum dot
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• Electrically-protected resonant exchange qubits in triple quantum dots
• Three-electron spin qubits
• Quantifying error and leakage in an encoded Si/SiGe triple-dot qubit
• Dynamically corrected gates for an exchange-only qubit
• Decoherence of an exchange qubit by hyperfine interaction
• Magnetic Gradient Fluctuations from Quadrupolar ${}^{73}$Ge in Si/SiGe Exchange-Only Qubits
• Noise Analysis of Qubits Implemented in Triple Quantum Dot Systems in a Davies Master Equation Approach
• Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits
• Leakage and sweet spots in triple-quantum-dot spin qubits: A molecular-orbital study
• Randomized Benchmarking as Convolution: Fourier Analysis of Gate Dependent Errors
• Driven nonlinear dynamics of two coupled exchange-only qubits
• Optically Loaded Semiconductor Quantum Memory Register
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Hyperfine-induced dephasing in three-electron spin qubits
• Optimizing electrically controlled echo sequences for the exchange-only qubit
• Jenga-Krotov algorithm: Efficient compilation of multi-qubit gates for exchange-only qubits