Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
arXiv:1705.01716 · doi:10.1088/1367-2630/aa7faf
Abstract
We considered various types of potential noise in gates controlling non-adiabatic holonomic transformations of spin-qubits in one and two dimensional systems with the Rashba interaction. It is shown how exact results can be derived for deviations of spin rotation angle and fidelity of the qubit transformation after a completed transformation. Errors in initial values of gate potentials and time-dependent drivings are considered and exact results for white gate noise are derived and analysed in detail. It is demonstrated how the drivings can be tuned to optimise the final fidelity of the transformation and to minimise the variances of qubit transformations.
References in corpus (34)
- Spins in few-electron quantum dots
- Driven coherent oscillations of a single electron spin in a quantum dot
- Geometric quantum computation with NMR
- Spin-orbit qubit in a semiconductor nanowire
- Non-adiabatic holonomic quantum computation
- Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
- Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
- Strong tuning of Rashba spin orbit interaction in single InAs nanowires
- Spin-Orbit Mediated Control of Spin Qubits
- Universal Quantum Computation through Control of Spin-Orbit Coupling
- Fast and robust spin manipulation in a quantum dot by electric fields
- Geometrical spin dephasing in quantum dots
- On the stability of quantum holonomic gates
- Designing Electron Spin Textures and Spin Interferometers by Shape Deformations
- Harmonic oscillator under Levy noise: Unexpected properties in the phase space
- Spin Qubit Relaxation in a Moving Quantum Dot
- Holonomic Quantum Computation with Electron Spins in Quantum Dots
- 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
- Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits
- Entanglement between static and flying qubits in quantum wires
- 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
- Non-adiabatically driven electron in quantum wire with spin-orbit interaction
- Electron spin rotations induced by oscillating Rashba interaction in a quantum wire
- Double Occupancy Errors in Quantum Computing Operations: Corrections to Adiabaticity
- Arbitrary qubit transformations on tuneable Rashba rings
- Relaxation of flying spin qubits in quantum wires by hyperfine interaction
- Generation of spin-dependent coherent states in a quantum wire
- Exact unitary transformation for Rashba rings in magnetic and electric fields
- Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron
Cited by in corpus (7)
- High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
- Exact spin-orbit qubit manipulation
- Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
- Rashba controlled two-electron spin-charge qubits as building blocks of a quantum computer
- Qubit transformations on Rashba ring with periodic potential
- Controlling spin without magnetic fields -- the Bloch-Rashba rotator
- Effects of noise on fidelity in spin-orbit qubit transformations