Contextuality and probability representation of quantum states
A.A. Strakhov, V.I. Man'ko
TL;DR
This paper explores the concepts of contextuality and noncontextuality within the probability representation of quantum states, illustrating their implications through qutrit states and violations of noncontextuality inequalities using spin tomograms.
Contribution
It introduces a framework connecting contextuality with probability representations and demonstrates violations of noncontextuality inequalities using tomographic methods.
Findings
Qutrit states exhibit violations of noncontextuality inequalities.
Spin tomogram and tomographic symbols effectively illustrate contextuality.
Probability representation provides new insights into quantum contextuality.
Abstract
The contextuality and noncontextuality notions are considered in framework of probability representation of quantum states. Example of qutrit states and violation of the noncontextuality inequalities are presented by using the spin tomogram and tomographic symbols of the observables.
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Taxonomy
TopicsQuantum Mechanics and Applications · Radioactive Decay and Measurement Techniques · Quantum Information and Cryptography