Naslov
Quantum Experiments without Classical Counterparts

Autori
Pavičić, Mladen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
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, 2005

Skup
Quantum Physics of Nature (QUPON) Theory, Experiment & Interpretation, May 20th -­ 26th 2005, 6th European QIPC Workshop, May 25th -­ 26th 2005

Mjesto i datum
Beč, Austrija, 20.05.2005. - 26.05.2005

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Kochen-Speckecker vectors; Kochen-Specker theorem; MMP diagrams; quantum measurement; quantum theory

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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