Quantum measurements and the Abelian Stabilizer Problem

Details Quantum measurements and the Abelian Stabilizer Problem Quantum measurements and the Abelian Stabilizer Problem

1995-11-20

arxiv.org/abs/quant-ph/9511026v1

Physics

Quantum Physics

22 pages, LATEX

Scientific paper

We present a polynomial quantum algorithm for the Abelian stabilizer problem which includes both factoring and the discrete logarithm. Thus we extend famous Shor's results. Our method is based on a procedure for measuring an eigenvalue of a unitary operator. Another application of this procedure is a polynomial quantum Fourier transform algorithm for an arbitrary finite Abelian group. The paper also contains a rather detailed introduction to the theory of quantum computation.

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