Geometric phases in semiconductor spin qubits: Manipulations and decoherence

Abstract

We describe the effect of geometric phases induced by either classical or quantum electric fields acting on single electron spins in quantum dots in the presence of spin-orbit coupling. On one hand, applied electric fields can be used to control the geometric phases, which allows performing quantum coherent spin manipulations without using high-frequency magnetic fields. On the other hand, fluctuating fields induce random geometric phases that lead to spin relaxation and dephasing, thus limiting the use of such spins as qubits. We estimate the decay rates due to piezoelectric phonons and conduction electrons in the circuit, both representing dominant electric noise sources with characteristically differing power spectra.

17 pages, 8 figures, published version

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Cited by in corpus (30)

• Non-Abelian gauge potentials in graphene bilayers
• Coherent long-distance displacement of individual electron spins
• Fast and robust spin manipulation in a quantum dot by electric fields
• Relaxation of hole spins in quantum dots via two-phonon processes
• A few-electron quadruple quantum dot in a closed loop
• Holonomic Quantum Computation with Electron Spins in Quantum Dots
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits
• Geometric phase of a quantum dot system in nonunitary evolution
• Maximal Rabi frequency of an electrically driven spin in a disordered magnetic field
• Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
• All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases
• The importance of intra-molecular electron spin relaxation in small molecular semiconductors
• Non-adiabatically driven electron in quantum wire with spin-orbit interaction
• Electron spin rotations induced by oscillating Rashba interaction in a quantum wire
• Arbitrary qubit transformations on tuneable Rashba rings
• Gate control of Berry phase in III-V semiconductor quantum dots
• Magnetic degeneracy points in interacting two-spin systems: geometrical patterns, topological charge distributions, and their stability
• Geometric spin manipulation in semiconductor quantum dots
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Exact spin-orbit qubit manipulation
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop
• Fast electron spin flips via strong subcycle electric excitation
• Longitudinal coupling between electrically driven spin-qubits and a resonator
• Berry-phase induced entanglement of hole-spin qubits in a microwave cavity
• Qubit transformations on Rashba ring with periodic potential
• Effects of noise on fidelity in spin-orbit qubit transformations
• Solitonic Andreev spin qubits from Andreev states in Corbino Josephson junctions
• Limitations of the $g$-tensor formalism of semiconductor spin qubits