Hands-on session 7

Session Recording

Lab book

Jupyter notebook

• Training and evaluating quantum kernels
  • What are kernel methods?
  • A toy problem
  • Defining a Quantum Embedding Kernel
  • Using the Quantum Embedding Kernel for predictions
  • Training the Quantum Embedding Kernel
• How to approximate a classical kernel with a quantum computer
  • Kernel-based Machine Learning
  • Shift-invariant kernels
  • Warm up: Implementing the Gaussian kernel
  • Fourier analysis of the Gaussian kernel
  • Designing a suitable QK
  • Computing the QK function on a quantum device
  • How to find the amplitudes emulating a Gaussian kernel
  • Finding the solution
  • Visualizing the solution
• Kernel-based training of quantum models with scikit-learn
  • Background
  • Kernel-based training
  • A similar example using variational training
  • Which method scales best?
• Send it after class