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Minkowski-Type Inequality for Arbitrary Density Matrices of Composite and Noncomposite Systems

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Abstract

We obtain a new matrix inequality for an arbitrary density matrix of composite/noncomposite qudit systems including a single-qudit state. For bipartite systems, this inequality coincides with a known entropic inequality like the subadditivity condition. The examples of two-qubit system and qudit with j = 3/2 are discussed.

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Correspondence to Olga V. Man’ko.

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Chernega, V.N., Man’ko, O.V. & Man’ko, V.I. Minkowski-Type Inequality for Arbitrary Density Matrices of Composite and Noncomposite Systems. J Russ Laser Res 36, 17–23 (2015). https://doi.org/10.1007/s10946-015-9472-5

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  • DOI: https://doi.org/10.1007/s10946-015-9472-5

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