A Software Package to Construct Polynomial Sets over Z_2 for Determining the Output of Quantum Computations

Details A Software Package to Construct Polynomial Sets over Z_2 for Determining the Output of Quantum Computations A Software Package to Construct Polynomial Sets over Z_2 for Determining the Output of Quantum Computations

2005-09-09

arxiv.org/abs/quant-ph/0509064v2

Physics

Quantum Physics

5 pages, 4 Postscript figures, report presented on ACAT 2005

Scientific paper

10.1016/j.nima.2005.11.147

A C# package is presented that allows a user for an input quantum circuit to generate a set of multivariate polynomials over the finite field Z_2 whose total number of solutions in Z_2 determines the output of the quantum computation defined by the circuit. The generated polynomial system can further be converted to the canonical Groebner basis form which provides a universal algorithmic tool for counting the number of common roots of the polynomials.

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