engleski

Kochen-Specker Algorithms for Qubits

Algorithms for finding arbitrary sets of Kochen-Specker (KS) qubits as well as all the remaining vectors in a space of an arbitrary dimension are presented. The algorithms are based on linear MMP diagrams which generate orthogonalities of KS qubits, on an algebraic definition of states on the diagrams, and on nonlinear equations corresponding to MMP diagrams whose solutions are either KS qubits or the remaining vectors of a chosen space depending on whether the diagrams allow 0-1 states or not. The complexity of the algorithms is polynomial. New results obtained with the help of the algorithms are presented.

Kochen-Specker theorem; MMP diagrams; nonlinear equations; dispersion-free states; quantum experiments

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