AbstractTo each operator monotone function it is possible to associate a quantum version of the classical covariance. We show that: i) only for regular quantum covariances one can prove non-trivial uncertainty relations; ii) the usual quantum covariance gives the best inequalities in this setting
Variance and Fisher information are ingredients of the Cramer-Rao inequality. We regard Fisher infor...
The example of nonpositive trace-class Hermitian operator for which Robertson-Schrödinger uncertaint...
Some new identities for quantum variance and covariance involving commutators are presented, in whic...
AbstractTo each operator monotone function it is possible to associate a quantum version of the clas...
Suppose that A(1),..., A(N) are observables (selfadjoint matrices) and rho is a state (density matri...
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...
In this paper, the relation between quantum covariances and quantum Fisher informations is studied. ...
The focus of the present investigation is uncertainty relations for quantum particles, which quantif...
We formulate a general complementarity relation starting from any Hermitian operator with discrete n...
Let A (1),...,A (N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson ...
We derive fundamental constraints for the Schur complement of positive matrices, which provide an op...
The uncertainty principle is one of the fundamental features of quantum mechanics and plays an essen...
A general theory of preparational uncertainty relations for a quantum particle in one spatial dimens...
Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously obtain kn...
Variance and Fisher information are ingredients of the Cramer-Rao inequality. We regard Fisher infor...
The example of nonpositive trace-class Hermitian operator for which Robertson-Schrödinger uncertaint...
Some new identities for quantum variance and covariance involving commutators are presented, in whic...
AbstractTo each operator monotone function it is possible to associate a quantum version of the clas...
Suppose that A(1),..., A(N) are observables (selfadjoint matrices) and rho is a state (density matri...
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...
In this paper, the relation between quantum covariances and quantum Fisher informations is studied. ...
The focus of the present investigation is uncertainty relations for quantum particles, which quantif...
We formulate a general complementarity relation starting from any Hermitian operator with discrete n...
Let A (1),...,A (N) be complex self-adjoint matrices and let rho be a density matrix. The Robertson ...
We derive fundamental constraints for the Schur complement of positive matrices, which provide an op...
The uncertainty principle is one of the fundamental features of quantum mechanics and plays an essen...
A general theory of preparational uncertainty relations for a quantum particle in one spatial dimens...
Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously obtain kn...
Variance and Fisher information are ingredients of the Cramer-Rao inequality. We regard Fisher infor...
The example of nonpositive trace-class Hermitian operator for which Robertson-Schrödinger uncertaint...
Some new identities for quantum variance and covariance involving commutators are presented, in whic...