AbstractWe introduce a skew information of Lieb’s typeSf,g(A,X)=Trf(A)Xg(A)X-Trf(A)g(A)X2for selfadjoint matrices A, X. We give conditions for f and g so that Sf,g is positive or negative. As another important application, we settle the problem posed by Yanagi, Furuichi and Kuriyama from quantum information theory
AbstractLet φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Yo...
We generalize, improve and unify theorems of Rumin, and Maassen–Uffink about classical entropies ass...
Let A (1),...,A (N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson ...
AbstractWe show that an uncertainty relation for Wigner–Yanase–Dyson skew information proved by Yana...
AbstractCertain trace inequalities related to matrix logarithm are shown. These results enable us to...
It is well known that almost all uncertainty relations including Heisenberg uncertainty relation and...
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty prin...
AbstractLet A1,…,AN be complex self-adjoint matrices and let ρ be a density matrix. The Robertson un...
Let A1,...,A(N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson unce...
We prove several trace inequalities that extend the Golden–Thompson and the Araki–Lieb–Thirring ineq...
Heisenberg and Schrodinger uncertainty principles give lower bounds for the product of variances Var...
A family of skew information quantities is obtained, in which the well-known Wigner-Yanase skew info...
We revisit and improve joint concavity/convexity and monotonicity properties of quasi-entropies due ...
Given two density matrices ρ and σ, there are a number of different expressions that reduce to the α...
We consider a family of multivariate trace inequalities recently derived by Sutter, Berta, and Tomam...
AbstractLet φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Yo...
We generalize, improve and unify theorems of Rumin, and Maassen–Uffink about classical entropies ass...
Let A (1),...,A (N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson ...
AbstractWe show that an uncertainty relation for Wigner–Yanase–Dyson skew information proved by Yana...
AbstractCertain trace inequalities related to matrix logarithm are shown. These results enable us to...
It is well known that almost all uncertainty relations including Heisenberg uncertainty relation and...
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty prin...
AbstractLet A1,…,AN be complex self-adjoint matrices and let ρ be a density matrix. The Robertson un...
Let A1,...,A(N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson unce...
We prove several trace inequalities that extend the Golden–Thompson and the Araki–Lieb–Thirring ineq...
Heisenberg and Schrodinger uncertainty principles give lower bounds for the product of variances Var...
A family of skew information quantities is obtained, in which the well-known Wigner-Yanase skew info...
We revisit and improve joint concavity/convexity and monotonicity properties of quasi-entropies due ...
Given two density matrices ρ and σ, there are a number of different expressions that reduce to the α...
We consider a family of multivariate trace inequalities recently derived by Sutter, Berta, and Tomam...
AbstractLet φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Yo...
We generalize, improve and unify theorems of Rumin, and Maassen–Uffink about classical entropies ass...
Let A (1),...,A (N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson ...
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