Noise-compensating pulses for electrostatically controlled silicon spin qubits

  title={Noise-compensating pulses for electrostatically controlled silicon spin qubits},
  author={Xin Wang and Fernando A. Calderon-Vargas and Muhed S. Rana and Jason P. Kestner and Edwin Barnes and Sankar Das Sarma},
  journal={Physical Review B},
We study the performance of SUPCODE---a family of dynamically correcting pulses designed to cancel simultaneously both Overhauser and charge noise for singlet-triplet spin qubits---adapted to silicon devices with electrostatic control. We consider both natural Si and isotope-enriched Si systems, and in each case we investigate the behavior of individual gates under static noise and perform randomized benchmarking to obtain the average gate error under realistic 1/f noise. We find that in most… 

Figures and Tables from this paper

Noise filtering of composite pulses for singlet-triplet qubits

This work performs a comprehensive theoretical study of the response of a type of dynamically corrected gates, namely the supcode for singlet-triplet qubits, to realistic 1/f noises with frequency spectra 1/ωα and finds that supcode offers improvement of the gate fidelity for α and the improvement becomes exponentially more pronounced with the increase of the noise exponent.

Improving the gate fidelity of capacitively coupled spin qubits

Control protocols that implement two-qubit entangling gates while substantially suppressing errors due to both types of noise are presented and constitute an important step toward scalable quantum computation using spin qubits in semiconductor platforms.

Analytic Filter-Function Derivatives for Quantum Optimal Control

To enable the use of gradient-based algorithms with fast convergence, an analytically derived function gradients with respect to control pulse amplitudes are presented, and a modular computational implementation compatible with quantum optimal control packages is provided.

Reduced Sensitivity to Charge Noise in Semiconductor Spin Qubits via Symmetric Operation.

It is found that this method reduces the dephasing effect of charge noise by more than a factor of 5 in comparison to operation near a charge-state anticrossing, increasing the number of observable exchange oscillations in the authors' qubit by a similar factor.

Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning

The results suggest that the neural network is capable of predicting noise spectra from randomized benchmarking, which can be an alternative method to measure noise Spectra in spin-qubit devices.

Magnetic Gradient Fluctuations from Quadrupolar 73Ge in Si / SiGe Exchange-Only Qubits

We study the time-fluctuating magnetic gradient noise mechanisms in pairs of Si/SiGe quantum dots using exchange echo noise spectroscopy. We find through a combination of spectral inversion and

Logical Qubit in a Linear Array of Semiconductor Quantum Dots

We design and analyze a logical qubit composed of a linear array of electron spins in semiconductor quantum dots. To avoid the difficulty of fully controlling a two-dimensional array of dots, we

Error correction of quantum system dynamics via measurement–feedback control

In this paper, we generalize the application of a recently proposed quantum control technique called self-fulfilling prophesy (Uys et al 2018 Phys. Rev. A 97 060102) to achieve high-fidelity target



Electronic noise and fluctuations in solids

This book looks at the physics of electronic fluctuations (noise) in solids. The author emphasizes many fundamental experiments that have become classics: physical mechanisms of fluctuations, and the

full supcode (L full ) and δ supcode (L δJ ) in unit of h −1 . The ratio L δJ /L full , showing the reduction in length of δJ-supcode from the full one

  • Pulse length of the naïve pulse (Lnaiv)


  • Phys. Rev. Lett
  • 2012

Science 309

  • 2180
  • 2005

See Supplemental Material for details

    Nature (London) 455

    • 1085
    • 2008

    New J

    • Phys 7, 246
    • 2005