Separability and entanglement of the qudit X-state with j = 3/2

Abstract

The qudit state for j = 3=2 with density matrix of the form corresponding to X-state of two-qubits is studied from the point of view of entanglement and separability properties. The method of qubit portrait of qudit states is used to get the entropic inequalities for the entangled state of the single qudit. The tomographic probability representation of the qudit X-state under consideration and its Shannon and q-entropic characteristics are presented in explicit form.

arXiv comment8 pages, 4 figures

References in corpus (9)

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Cited by in corpus (9)

• Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
• On Testing Entropic Inequalities for Superconducting Qudit
• Steering and correlations for the single qudit state on the example of $j=3/2$
• Separability and entanglement of spin $1$ particle
• New Minkowski type inequalities and entropic inequalities for quantum states of qudits
• Optimal nonlinear filtering of quantum state
• Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system
• Deformed entropic and information inequalities for X - states of two-qubit and single qudit states
• Inequalities for purity parameters for multipartite and single qudit states