AbstractA new upper bound for the von Neumann entropy of a state of a compound quantum system is given. This leads to a log-Sobolev inequality on the matrix algebra
Given the algebra of observables of a quantum system subject to selection rules, a state can be repr...
We estimate the von Neumann entropy infimum for the output of the Weyl channels being covariant with...
31 pagesInternational audienceIn this paper, we derive a new generalisation of the strong subadditiv...
We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given...
Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of ...
The von Neumann entropy plays a vital role in quantum information theory. As the Shannon entropydoe...
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-...
This paper presents self-contained proofs of the strong subadditivity inequality for quantum entropy...
A notion of entropy of a normal state on a finite von Neumann algebra in Segal’s sense is considered...
We show how to determine the maximum and minimum possible values of one measure of entropy for a giv...
We present a review of entropy properties for classical and quantum systems including Shannon entrop...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
Let ρ denote the density matrix of a quantum state having n parts 1, ..., n. For I⊆N={1, ..., n}, le...
AbstractTwo unitarily equivalent quantum states have the same von Neumann entropy, but not vice vers...
AbstractSome logarithmic trace inequalities involving the notions of relative entropy are reobtained...
Given the algebra of observables of a quantum system subject to selection rules, a state can be repr...
We estimate the von Neumann entropy infimum for the output of the Weyl channels being covariant with...
31 pagesInternational audienceIn this paper, we derive a new generalisation of the strong subadditiv...
We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given...
Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of ...
The von Neumann entropy plays a vital role in quantum information theory. As the Shannon entropydoe...
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-...
This paper presents self-contained proofs of the strong subadditivity inequality for quantum entropy...
A notion of entropy of a normal state on a finite von Neumann algebra in Segal’s sense is considered...
We show how to determine the maximum and minimum possible values of one measure of entropy for a giv...
We present a review of entropy properties for classical and quantum systems including Shannon entrop...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
Let ρ denote the density matrix of a quantum state having n parts 1, ..., n. For I⊆N={1, ..., n}, le...
AbstractTwo unitarily equivalent quantum states have the same von Neumann entropy, but not vice vers...
AbstractSome logarithmic trace inequalities involving the notions of relative entropy are reobtained...
Given the algebra of observables of a quantum system subject to selection rules, a state can be repr...
We estimate the von Neumann entropy infimum for the output of the Weyl channels being covariant with...
31 pagesInternational audienceIn this paper, we derive a new generalisation of the strong subadditiv...