Abstract

Recently, we proposed the spin-selective coherent electron transfer in a silicon-quantum-dot array. It requires temporal tuning of two pulses of an oscillating magnetic field and gate voltage control. This paper proposes a simpler method that requires a single pulse of oscillating magnetic field and gate voltage control. We examined the robustness of the control against the error in the pulse amplitude and the effect of the excited states relaxation to the control efficiency. In addition, we propose a novel control method based on a shortcuts-to-adiabaticity protocol, which utilizes two pulses but requires temporal control of the pulse amplitude for only one of them. We compared their efficiencies under the effect of realistic pulse amplitude errors and relaxation.

Highlights

  • Spins in silicon-based quantum dots are a promising candidate for fault-tolerant quantum information processing (QIP) [1]

  • Inspired by a theoretical analysis of two-qubit gate implementation employing state-dependent potentials in cold atom systems in optical fiber array [27,28,29], we recently proposed a spin-selective electron transfer method described in [12], which realizes non-local qubit operations in a quantum dot array

  • We studied spin-selective coherent electron transfer in a quantum dot array with time-dependent tuning of the driving field

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Summary

Introduction

Spins in silicon-based quantum dots are a promising candidate for fault-tolerant quantum information processing (QIP) [1]. Readout and single-qubit gate control fidelities above the surface code threshold [2] have been experimentally demonstrated by taking advantage of exceptionally long longitudinal relaxation times [3,4,5] and transverse relaxation times [6,7,8,9]. Inspired by a theoretical analysis of two-qubit gate implementation employing state-dependent potentials in cold atom systems in optical fiber array [27,28,29], we recently proposed a spin-selective electron transfer method described in [12], which realizes non-local qubit operations in a quantum dot array. We report a simplified and improved method of spin-selective coherent electron transfer in a silicon-quantum-dot array driven by a single pulse of oscillating magnetic field and gate voltage control.

Spin-Selective Electron Transfer with a Single π-Pulse
Step I
Step II
Adiabatic and Shortcuts-To-Adiabaticity Controls
Spin-Selective STIRAP with Constant BS
Shortcuts to Adiabaticity
The Effect of the Error of the Pulse Amplitude
The Effect of the Relaxation of Excited States
Effect of Dephasing of Spin
Conclusions

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