Exact spin-orbit qubit manipulation

Abstract

We consider exactly solvable manipulation of spin-qubits confined in a moving harmonic trap and in the presence of the time dependent Rashba interaction. Non-adiabatic Anandan phase for cyclic time evolution is compared to the Wilczek-Zee adiabatic counterpart. It is shown that the ratio of these two phases can for a chosen system be any real number. Next we demonstrate the possibility of arbitrary qubit transformation in a ring with spin-orbit interaction. Finally, we present an example of exact analysis of spin-orbit dynamics influenced by the Ornstein-Uhlenbeck coloured noise.

14th Granada Seminar 2017, Granada, 19-24 Jun 2017

References in corpus (16)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Spin-Orbit Mediated Control of Spin Qubits
• Geometrical spin dephasing in quantum dots
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• Geometric phases in semiconductor spin qubits: Manipulations and decoherence
• Measurement, control, and decay of quantum-dot spins
• Spin rotations induced by electron running on closed trajectories in gated semiconductor nanodevices
• Topological phases in adiabatic and nonadiabatic driven systems
• Kondo effect and channel mixing in oscillating molecules
• Quantum entanglement generation with surface acoustic waves
• Conductance of a molecule with a center of mass motion
• Generation of spin-dependent coherent states in a quantum wire
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron

Cited by in corpus (4)

• Spin rotation by resonant electric field in few-level quantum dots: Floquet dynamics and tunneling
• Qubit transformations on Rashba ring with periodic potential
• Rashba controlled two-electron spin-charge qubits as building blocks of a quantum computer
• Controlling spin without magnetic fields -- the Bloch-Rashba rotator