Bell's inequalities in the tomographic representation

Abstract

The tomographic approach to quantum mechanics is revisited as a direct tool to investigate violation of Bell-like inequalities. Since quantum tomograms are well defined probability distributions, the tomographic approach is emphasized to be the most natural one to compare the predictions of classical and quantum theory. Examples of inequalities for two qubits an two qutrits are considered in the tomographic probability representation of spin states.

11 pages, comments and references added

References in corpus (6)

• Three qubits can be entangled in two inequivalent ways
• Symplectic tomography as classical approach to quantum systems
• Alternative commutation relations, star products and tomography
• Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
• On the meaning and interpretation of Tomography in abstract Hilbert spaces
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Cited by in corpus (6)

• Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
• Qubit-portraits of qudit states and quantum correlations
• Quantumness tests and witnesses in the tomographic-probability representation
• Tomographic discord for a system of two coupled nanoelectric circuits
• Qubit portrait of the photon-number tomogram and separability of two-mode light states
• Testing the Bell Inequality at Experiments of High Energy Physics