Abstract
Using the monotonicity of relative entropy of composite quantum systems, we obtain new entropic inequalities for arbitrary density matrices of single qudit states. Examples of qutrit state inequalities and the “qubit portrait” bound for the distance between the qutrit states are considered in explicit form.
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Dedicated to the memory of Anatoly N. Oraevsky, Professor at the P.N. Lebedev Physical Institute and Moscow Engineering Physics Institute.
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Chernega, V.N., Man’ko, O.V. & Man’ko, V.I. New Inequality for Density Matrices of Single Qudit States. J Russ Laser Res 35, 457–461 (2014). https://doi.org/10.1007/s10946-014-9447-y
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DOI: https://doi.org/10.1007/s10946-014-9447-y