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20122023
most citedTriangle geometry of the qubit state in the probability representation expressed in terms of the triada of Malevich's Squares

48 citations · 324 across the 25 of their papers we have counts for

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Showing 2014Show all

6 papers · 1 filter

quant-ph2014★ 6 cited

Deformed entropy and information relations for composite and noncomposite systems

Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko

The notion of conditional entropy is extended to noncomposite systems. The q-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees…

quant-ph2014★ 16 cited

New inequality for density matrices of single qudit states

V. N. Chernega, O. V. Man'ko, V. I. Man'ko

Using the monotonity of relative entropy of composite quantum systems we obtain new entropic inequalities for arbitrary density matrices of single qudit states. Example of qutrit s…

quant-ph2014★ 5 cited

Minkovskii-type inequality for arbitrary density matrix of composite and noncomposite systems

V. N. Chernega, O. V. Man'ko, V. I. Man'ko

New kind of matrix inequality known for bipartite system density matrix is obtained for arbitrary density matrix of composite or noncomposite qudit systems including the single qud…

quant-ph2014★ 3 cited

Density matrix form of Gross-Pitaevskii equation

V. N. Chernega, O. V. Man'ko, V. I. Man'ko

We consider the generalized pure state density matrix which depends on different time moments. The evolution equation for this density matrix is obtained in case where the density…

quant-ph2014★ 20 cited

Subadditivity condition for spin-tomograms and density matrices of arbitrary composite and noncomposite qudit systems

V. N. Chernega, O. V. Man'ko, V. I. Man'ko

New quantum entropic inequality for states of system of n >_ 1 qudits is obtained. The inequality has the form of quantum subadditivity condition of bipartite qudit system and coin…

quant-ph2014★ 30 cited

Tomographic and improved subadditivity conditions for two qubits and qudit with j = 3=2

V. N. Chernega, O. V. Man'ko

New entropic inequality for quantum and tomographic Shannon information for system of two qubits is obtained. The inequality relating quantum information and spin-tomographic infor…