cern-it-innovation / quask Goto Github PK

Hi,

I would like to clarify the following code that was used to implement geometric difference from the paper: "The power of data in quantum machine learning".

def calculate_geometric_difference(k_1, k_2, normalization_lambda=0.001):
"""
Calculate the geometric difference g(K_1 || K_2), which is equation F9 in
"The power of data in quantum machine learning" (https://arxiv.org/abs/2011.01938)
and characterize the separation between classical and quantum kernels.
Args:
k_1: Quantum kernel Gram matrix
k_2: Classical kernel Gram matrix
normalization_lambda: normalization factor, must be close to zero
Returns:
geometric difference between the two kernel functions (float).
"""

In the paper, geometric difference between classical and quantum (g_cq ) is defined with k₁ = classical kernel and k₂ = quantum kernel. However, in your code implementation, k₁ is quantum and k₂ is classical. As the equation is asymmetric to the order of the matrices k₁ and k₂, could there be an error in the code implementation?

Thanks for taking the time to read this!

Please provide tutorials with Qiskit code examples asap. Without them, QuASK is difficult to try.