Quantum Search for Zeros of Polynomials

Details Quantum Search for Zeros of Polynomials Quantum Search for Zeros of Polynomials

2003-05-29

arxiv.org/abs/quant-ph/0305177v1

J. Opt. B 5 (2003) S586

Physics

Quantum Physics

6 pages

Scientific paper

10.1088/1464-4266/5/6/007

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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