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Separability and Entanglement of the Qudit X-State with j = 3/2 |
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| Authors: | Vladimir I Man’ko L A Markovich |
| Institution: | 1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia 2. Moscow Institute of Physics and Technology (State University), Institutskií per. 9, Dolgoprudnyí, Moscow Region, 141700, Russia 3. Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya Street 65, Moscow, 117997, Russia |
| Abstract: | We study the qudit state with spin j = 3/2 and the density matrix of the form corresponding to the X state of two qubits and consider the entanglement and separability properties. We use the qubit portrait of qudit states to obtain the entropic inequalities for the entangled state of a single qudit. We present the tomographic-probability representation of the qudit X-state and obtain the Shannon and q entropic characteristics in explicit forms. |
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