Title of article :
A software package to construct polynomial sets over for determining the output of quantum computations
Author/Authors :
Gerdt، نويسنده , , Vladimir P. and Severyanov، نويسنده , , Vasily M.، نويسنده ,
Abstract :
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 Grِbner basis form which provides a universal algorithmic tool for counting the number of common roots of the polynomials.
Keywords :
Quantum computation , Sum-over-paths , Polynomial equations , Grِbner basis
Journal title :
Astroparticle Physics