Quantum Experiments without Classical Counterparts (CROSBI ID 513760)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Pavičić, Mladen
engleski
Quantum Experiments without Classical Counterparts
We present a generalised and exhaustive method of finding the directions of the quantisation axes of the measured eigenstates within experiments which have no classical counterparts. The method relies on a constructive and exhaustive definition of sets of such directions (which we call Kochen-Specker vectors) in a Hilbert space of any dimension as well as of all the remaining vectors of the space. Kochen-Specker vectors are elements of any set of orthonormal states, i.e., vectors in n-dim Hilbert space, Hn, n > 2 to which it is impossible to assign 1s and 0s in such a way that no two mutually orthogonal vectors from the set are both assigned 1 and that not all mutually orthogonal vectors are assigned 0. Our constructive definition of such Kochen-Specker vectors is based on algorithms that generate MMP diagrams corresponding to blocks of orthogonal vectors in Rn, on algorithms that single out those diagrams on which algebraic to 0-1 states cannot be defined, and on algorithms that solve nonlinear equations describing the orthogonalities of the vectors by means of statistically polynomially complex interval analysis and self-teaching programs. The algorithms are limited neither by the number of dimensions nor by the number of vectors. To demonstrate the power of the algorithms, all 4-dim KS vector systems containing up to 24 vectors were generated and described, all 3-dim vector systems containing up to 30 vectors were scanned, and several general properties of KS vectors were found.
Kochen-Speckecker vectors; Kochen-Specker theorem; MMP diagrams; quantum measurement; quantum theory
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Podaci o prilogu
97-x.
2005.
objavljeno
Podaci o matičnoj publikaciji
Quantum Physics of Nature (QUPON) Theory, Experiment & Interpretation, May 20th - 26th 2005, 6th European QIPC Workshop, May 25th - 26th 2005
Arndt, Markus
Beč: University of Vienna
Podaci o skupu
Quantum Physics of Nature (QUPON) Theory, Experiment & Interpretation, May 20th - 26th 2005, 6th European QIPC Workshop, May 25th - 26th 2005
poster
20.05.2005-26.05.2005
Beč, Austrija