Few Quantum Algorithms on Amplitude Distribution

@article{Bera2022FewQA,
  title={Few Quantum Algorithms on Amplitude Distribution},
  author={Debajyoti Bera and Sapv Tharrmashastha},
  journal={ArXiv},
  year={2022},
  volume={abs/2208.00162}
}
Amplitude filtering is concerned with identifying basis-states in a superposition whose amplitudes are greater than a specified threshold; probability filtering is defined analogously for probabilities. Given the scarcity of qubits, the focus of this work is to design log-space algorithms for them. Both algorithms follow a similar pattern of estimating the amplitude (or, probability for the latter problem) of each state, in superposition, then comparing each estimate against the threshold for… 

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