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Using Quantum Speed-Ups to accelerate Gaussian Process Regression

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QuantumGP

Using Quantum Speed-Ups to accelerate Gaussian Process Regression (GPR). The posterior distribution can be obtained using Gaussian Inference. This includes the inversion of the covariance matrix. The inversion is accelerated using classical and quantum algorithms.

Quantum Solvers

  • Harrow-Hassidim-Lloyd (HHL)
  • Variational Quantum Linear Solver (VQLS)

Classical Solvers

  • Cholesky
  • Partial Cholesky
  • Conjugate Gradient (CG)
  • Preconditioned Conjugate Gradient (PCG)

Preconditioners

  • Partial Cholesky