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Your search keyword '"Hermitian matrix"' showing total 4 results
4 results on '"Hermitian matrix"'

1. New Inequality for Density Matrices of Single Qudit States.

Author

Chernega, Vladimir, Man'ko, Olga, and Man'ko, Vladimir

Subjects
*HERMITIAN structures, *DENSITY matrices, *QUANTUM mechanics, *QUANTUM entropy, *QUBITS, *QUANTUM states, *MATHEMATICAL inequalities
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. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Several matrix trace inequalities on Hermitian and skew-Hermitian matrices.

Author

Xiangyu Gao, Guoqiang Wang, Xian Zhang, and Julong Tan

Subjects
*HERMITIAN structures, *DIFFERENTIAL geometry, *TRANSMISSION line matrix methods, *LINEAR complementarity problem, *MATHEMATICAL optimization, *SEMIDEFINITE programming
Abstract

In this paper, we present several matrix trace inequalities on Hermitian and skew-Hermitian matrices, which play an important role in designing and analyzing interior-point methods (IPMs) for semidefinite optimization (SDO). [ABSTRACT FROM AUTHOR]

Published
2014
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3. The matrix version of Hamburger's theorem.

Author

Dyukarev, Yu. and Choque Rivero, A.

Subjects
*STIELTJES transform, *MOMENT problems (Mathematics), *HERMITIAN operators, *HERMITIAN structures, *MATRICES (Mathematics)
Abstract

Necessary and sufficient conditions for the Stieltjes moment problem to have a unique solution and for the Hamburger moment problem with the same moments to have infinitely many solutions were obtained in Hamburger's papers on the classical moment problem. In this paper, we obtain an analog of Hamburger's criterion for the matrix moment problem. [ABSTRACT FROM AUTHOR]

Published
2012
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4. On an inequality of Marcus.

Author

Lin, M.

Subjects
*MARCUS equation, *CHARGE exchange, *MARCUS inverted region, *REORGANIZATION energy, *SPECTACLED eider, *HERMITIAN operators, *HERMITIAN structures
Abstract

We give a simple proof of a determinantal inequality due to Marcus (1976). [ABSTRACT FROM AUTHOR]

Published
2015
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