Exact analysis of gate noise effects on non-adiabatic transformations of spin–orbit qubits

Ulčakar, Lara; Ramšak, A.

doi:10.1088/1367-2630/aa7faf

Cited by 10 publications

(12 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Flying qubits could be carried by surface acoustic waves, where the noise can arise due to time dependence in the electron-electron interaction effects [36][37][38]. Recent related studies [39][40][41][42][43][44] considered the effects of additive noise present in the driving functions of the qubit. The authors of Refs.…”

Section: Introductionmentioning

confidence: 99%

Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits

et al. 2020

Self Cite

View full text Add to dashboard Cite

We study the influence of a thermal environment on a nonadiabatic spin-flip driving protocol of spin-orbit qubits. The driving protocol operates by moving the qubit, trapped in a harmonic potential, along a nanowire in the presence of a time-dependent spin-orbit interaction. We consider the harmonic degrees of freedom to be weakly coupled to a thermal bath. We find an analytical expression for the Floquet states and derive the Lindblad equation for a strongly nonadiabatically driven qubit. The Lindblad equation corrects the dynamics of an isolated qubit with Lamb shift terms and a dissipative behavior. Using the Lindblad equation, the influence of a thermal environment on the spin-flip protocol is analyzed.

show abstract

Section: Introductionmentioning

confidence: 99%

Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…To compare the efficacy of the different driving protocols, it is informative to look at the trajectory traced out in the displacement-J so parameter space. The net spin-rotation achieved after one cycle of driving (one Bloch oscillation) is proportional to the area enclosed by this trajectory [23,26]. We show the four cases that we have considered in Fig.…”

Section: B Time-dependent Socmentioning

confidence: 99%

“…[22] a method to achieve this was proposed, where an electron trapped in a local potential was moved along a closed trajectory in space, while the Rashba coupling was varied in time, to obtain the desired spin-rotation. An appealing aspect of this system is that exact analytical solutions can be obtained [23][24][25], allowing its robustness towards gate noise [26] and thermal effects [27] to be assessed.…”

Section: Introductionmentioning

confidence: 99%

Controlling spin without magnetic fields: The Bloch-Rashba rotator

Creffield

2020

Phys. Rev. B

View full text Add to dashboard Cite

We consider the dynamics of a quantum particle held in a lattice potential and subjected to a time-dependent spin-orbit coupling. Tilting the lattice causes the particle to perform Bloch oscillations, and by suitably changing the Rashba interaction during its motion, the spin of the particle can be gradually rotated. Even if the Rashba coupling can only be altered by a small amount, large spin rotations can be obtained by accumulating the rotation from successive oscillations. We show how the time dependence of the spin-orbit coupling can be chosen to maximize the rotation per cycle, and thus how this method can be used to produce a precise and controllable spin rotator, which we term the Bloch-Rashba rotator, without requiring an applied magnetic field.

show abstract

“…Now we consider the influence of the 'apparatus' noise [34,35] in the control function g(t) on the fidelity of cutting. The noise is simulated as a set of rectangular pulses with a fixed lengthΔt and the random strengthD…”

Section: Robustness Of the Controlmentioning

confidence: 99%

High-fidelity non-adiabatic cutting and stitching of a spin chain via local control

et al. 2018

View full text Add to dashboard Cite

We propose and analyze, focusing on non-adiabatic effects, a technique of manipulating quantum spin systems based on local 'cutting' and 'stitching' of the Heisenberg exchange coupling between the spins. This first operation is cutting of a bond separating a single spin from a linear chain, or of two neighboring bonds for a ring-shaped array of spins. We show that the disconnected spin can be in the ground state with a high-fidelity even after a non-adiabatic process. Next, we consider inverse operation of stitching these bonds to increase the system size. We show that the optimal control algorithm can be found by using common numerical procedures with a simple twoparametric control function able to produce a high-fidelity cutting and stitching. These results can be applied for manipulating ensembles of quantum dots, considered as prospective elements for quantum information technologies, and for design of machines based on quantum thermodynamics.

show abstract

Exact analysis of gate noise effects on non-adiabatic transformations of spin–orbit qubits

Cited by 10 publications

References 51 publications

Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits

Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits

Controlling spin without magnetic fields: The Bloch-Rashba rotator

High-fidelity non-adiabatic cutting and stitching of a spin chain via local control

Contact Info

Product

Resources

About