Abstract
State-independent contextuality is a fundamental phenomenon in quantum mechanics, which has been demonstrated experimentally in different systems in recent years. Here we show that such contextuality can also be simulated in classical optical systems. Using path and polarization degrees of freedom of classical optics fields, we have constructed the classical trit (cetrit), here the term ‘cetrit’ is the classical counterpart of a qutrit in quantum systems. Furthermore, in classical optical systems we have simulated the violations of several Yu-Oh-like noncontextual inequalities in a state-independent manner by implementing the projection measurements. Our results not only provide new physical insights into the contextuality and also show the application prospects of the concepts developed recently in quantum information science to classical optical systems and optical information processes.
Highlights
State-independent contextuality is a fundamental phenomenon in quantum mechanics, which has been demonstrated experimentally in different systems in recent years
Quantum contextuality is an important feature of quantum mechanics, and shows the discrepancy between quantum phenomenon and classical cognition
The quantum contextuality was first proposed by Kochen and Specker (KS)[4,5] and Bell[6] in 1960s
Summary
State-independent contextuality is a fundamental phenomenon in quantum mechanics, which has been demonstrated experimentally in different systems in recent years. In classical optical systems we have simulated the violations of several Yu-Oh-like noncontextual inequalities in a state-independent manner by implementing the projection measurements. The state-dependent contextuality involving 5 variables has been studied in classical optical systems, and violations of the Klyachko-Can-Binicioglu-Shumovski (KCBS) inequality and its geometrical form (Wright’s inequality) have been demonstrated experimentally[47]. We use the path and polarization degrees of freedom of classical optical beam to establish the classical trit (cetrit, corresponding to the qutrit in quantum system), and explore the violations of several noncontextual inequalities in a state-independent manner by implementing the projection measurements. By measuring the intensities at the output ports, which are normalized by the total intensity, the average values of Contextuality forms Original Yu-Oh form[14] Improved form[16]
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