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Diagonal linear inequalities are derived for three‐ and four‐body reduced density matrices . These give a different insight into the previous derivations of linear inequalities for the two‐body ...
. This solution is expressed as a series of linear inequalities involving the density ‐matrix elements; the inequalities are identical with those derived previously by Davidson and McCrae by a different method ...
on matrix differential inequalities along the density flows. The matrical nature of these differential inequalities upgrades dimensional functional inequalities to their intrinsic dimensional counterparts ...
inequality for arbitrary Hermitian matrices . We describe particular linear maps called the matrix portrait of arbitrary N×N matrices . The maps are obtained as analogs of partial tracing of density matrices ...
linear inequality conditions on the Markov chain matrices by using the duality theory of convex optimization which is our first contribution. With the safety constraints, we can facilitate proper low-level ...
Abstract We consider new concepts of entropy and pressure for stationary systems acting on density matrices which generalize the usual ones in Ergodic Theory. Part of our work is to justify why ...
M athematical Inequalities & Applications Volume 18, Number 2 (2015), 581–588 doi:10.7153/mia-18-43 CONCAVITY OF THE FUNCTION f (A)= det(I − A) FOR DENSITY OPERATOR A YAN-NI DOU,HAI DU AND YUAN LI 1 ...
inequality , we also compute the inverse of $I_p(\sigma)$. The important point of this note is the fact that this inverse is a linear combination of two simple operators on the space of symmetric matrices ...
by the Shannon entropy [1]. The states of quantum systems identified with the density matrices [2–5] are characterized by the von Neumann entropy. For the pure states identified with the wave functions, the von ...
a complete picture of the four-party linear inequalities in terms of the $0$-entropy. Our proof is based on the construction of a novel canonical form of bipartite matrices under local equivalence. We apply ...
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