Skip to content

Coefficients#

The resulting plots of our experiments as PDF can be found in plotting/rplots/img-gen, while a PNG version can be found on this website.

Summary#

Our Figure 8 in the paper summarised the coefficient mean \(\mu_c(\boldsymbol{\omega})\) for 1D, and 2D inputs and all qubits, only depicting the zero and maximum frequency-coefficient, shown here: Coefficients Mean Summary Coefficients Mean Summary

Absolute coefficient mean \(\mu_c(\boldsymbol{\omega})\) for the lowest frequency \(\boldsymbol{\omega}=\boldsymbol{0}\) and highest frequency \(\boldsymbol{\omega} = \boldsymbol{\omega}_\text{max}\) in the respective spectrum under the influence of varying noise levels. We considered one-dimensional (\(D\) = 1), and two-dimensional inputs (\(D\) = 2). The y-axis for each facet row are equal throughout the respective \(\boldsymbol{\omega}\), but differs in between.

The corresponding relative standard deviation is Coefficients Mean Summary Coefficients Mean Summary

Relative standard deviation \(\sigma_c(\boldsymbol{\omega})\).

The detailed mean and standard deviations for varying qubit counts can be found in the corresponding pages on 1D-coefficients and 2D-coefficients.

Our Figure 9 in the paper: Coefficients Num Freq Coefficients Num Freq

Input Encoding#

Our Figure 3 from the paper: Coefficients Encoding Mean Coefficients Encoding Mean

Absolute coefficient mean \(\mu_c(\boldsymbol{\omega})\) for \([3\dots 6]\) qubits and \(R_{\{X, Y, Z\}}\) encodings over frequencies.

And the corresponding relative standard deviation: Coefficients Encoding Standard Deviation Coefficients Encoding Standard Deviation

Absolute coefficient standard deviation \(\sigma_c(\boldsymbol{\omega})\) for \([3\dots 6]\) qubits and \(R_{\{X, Y, Z\}}\) encodings over frequencies.

Our Figure 4 from the paper: Coefficients Encoding Real/Imag Coefficients Encoding Real/Imag

Coefficients, separated into real and imaginary parts for a circuit with six qubits and different single qubit Pauli-encodings.