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Quantum Search for Zeros of Polynomials

Stefan Weigert
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Abstract

A quantum mechanical search procedure to determine the real zeros of a polynomial is introduced. It is based on the construction of a spin observable whose eigenvalues coincide with the zeros of the polynomial. Subsequent quantum mechanical measurements of the observable output directly the numerical values of the zeros. Performing the measurements is the only computational resource involved.

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Stefan Weigert. 2003-05-29. Quantum Search for Zeros of Polynomials. https://doi.org/10.1088/1464-4266%2F5%2F6%2F007

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