Corpus ID: 233231389

Fast quantum state reconstruction via accelerated non-convex programming

@article{Kim2021FastQS,
  title={Fast quantum state reconstruction via accelerated non-convex programming},
  author={Junhyung Lyle Kim and George Kollias and Amir Kalev and Ken Xuan Wei and Anastasios Kyrillidis},
  journal={ArXiv},
  year={2021},
  volume={abs/2104.07006}
}
We propose a new quantum state reconstruction method that combines ideas from compressed sensing, non-convex optimization, and acceleration methods. The algorithm, called Momentum-Inspired Factored Gradient Descent (MiFGD), extends the applicability of quantum tomography for larger systems. Despite being a non-convex method, MiFGD converges provably to the true density matrix at a linear rate, in the absence of experimental and statistical noise, and under common assumptions. With this… Expand

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