Qubit-portraits of qudit states and quantum correlations

Abstract

The machinery of qubit-portraits of qudit states, recently presented, is consider here in more details in order to characterize the presence of quantum correlations in bipartite qudit states. In the tomographic representation of quantum mechanics, Bell-like inequalities are interpreted as peculiar properties of a family of classical joint probability distributions which describe the quantum state of two qudits. By means of the qubit-portraits machinery a semigroup of stochastic matrices can be associated to a given quantum state. The violation of the CHSH inequalities is discussed in this framework with some examples, we found that quantum correlations in qutrit isotropic states can be detected by the suggested method while it cannot in the case of qutrit Werner states.

arXiv comment12 pages, 4 figures

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Cited by in corpus (14)

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• Quantum strong subadditivity condition for systems without subsystems
• Generalized qubit portrait of the qutrit state density matrix
• Inverse spin-s portrait and representation of qudit states by single probability vectors
• Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
• Subadditivity condition for spin-tomograms and density matrices of arbitrary composite and noncomposite qudit systems
• No signaling and strong subadditivity condition for tomographic q-entropy of single qudit states
• New inequality for density matrices of single qudit states
• 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
• How can we check the uncertainty relation?
• Deformed entropy and information relations for composite and noncomposite systems
• Minkovskii-type inequality for arbitrary density matrix of composite and noncomposite systems