A Kochen-Specker System Has at Least 22 Vectors
نویسندگان
چکیده
منابع مشابه
A Kochen-Specker system has at least 22 vectors (extended abstract)
At the heart of the Conway-Kochen Free Will Theorem and Kochen and Specker’s argument against non-contextual hidden variable theories is the existence of a Kochen-Specker (KS) system: a set of points on the sphere that has no {0,1}-coloring such that at most one of two orthogonal points are colored 1 and of three pairwise orthogonal points exactly one is colored 1. In public lectures, Conway en...
متن کاملKochen–Specker vectors
We give a constructive and exhaustive definition of Kochen–Specker (KS) vectors in a Hilbert space of any dimension as well as of all the remaining vectors of the space. KS vectors are elements of any set of orthonormal states, i.e., vectors in an n-dimensional Hilbert space, H, n 3, to which it is impossible to assign 1s and 0s in such a way that no two mutually orthogonal vectors from the set...
متن کاملKochen-Specker Qubits
We give a constructive and exhaustive definition of Kochen-Specker (KS) qubits in the Hilbert space of any dimension as well as all the remaining vectors of the space. KS qubits are orthonormal states, i.e., vectors in n-dim Hilbert space, Hn, n ≥ 3 to which it is impossible to assign 1s and 0s in such a way that no two of mutually orthogonal vectors are both assigned 1. Our constructive defini...
متن کاملKochen-Specker Algorithms for Qunits
Algorithms for finding arbitrary sets of Kochen-Specker (KS) qunits (n-level systems) 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 qunits, on an algebraic definition of states on the diagrams, and on nonlinear equations corresponding to MMP diagrams whose solutions ar...
متن کاملAn incomplete Kochen-Specker colouring
A particular incomplete Kochen-Specker colouring, suggested by Appleby in dimension three, is generalized to arbitrary dimension. We investigate its effectivity as a function of dimension, using two different measures. A limit is derived for the fraction of the sphere that can be coloured using the generalized Appleby construction as the number of dimensions approaches infinity. The second, and...
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ژورنال
عنوان ژورنال: New Generation Computing
سال: 2016
ISSN: 0288-3635,1882-7055
DOI: 10.1007/s00354-016-0202-5