# 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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