Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra

@article{Sawaya2022ImprovedRN,
  title={Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra},
  author={Nicolas PD Sawaya and Joon Hyuk Huh},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.14213}
}
Transition amplitudes and transition probabilities are relevant to many areas of physics simulation, including the calculation of response properties and correlation functions. These quantities are also closely related to solving linear systems of equations in quantum linear algebra. Here we present three related algorithms for calculating transition probabilities with respect to arbitrary operators and states. First, we extend a previously published short-depth algorithm, allowing for the two… 

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