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Implement quantum state reconstruction (pure & mixed)

Merged Vicentini Filippo requested to merge github/fork/JasonZHM/qsr into master

Created by: JasonZHM

This pull request implements the quantum state reconstruction driver which minimizes the KL divergence to approximate the target state.

Features:

  • compatible with both pure and mixed ansatz
  • implement a control variates method (stochastic variance reduced gradient, SVRG) to reduce the variance caused by mini-batch training
  • support chunking when computing control variate expectation
  • an example of reconstructing 1d Ising chain ground state
  • tests on pure & mixed state reconstruction and KL computation

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