In this work, we developed a general approach to the problem of detecting and quantifying different types of correlations in bipartite quantum systems. Our method is based on the use of distances between quantum states and processes. We rely upon the premise that total correlations can be separated into classical and quantum contributions due to their different nature. In addition, according to recently discussed criteria, we determined the requirements to be satisfied by distances in order to generate correlation measures physically well behaved. The proposed measures allow us to quantify quantum, classical and total correlations. Besides the well-known case of relative entropy, we introduce some additional examples of distances which can ...
International audienceWe investigate and compare three distinguished geometric measures of bipartite...
The correlation distance quantifies the statistical independence of two classical or quantum systems...
We discuss the problem of the separation of total correlations in a given quantum state into entangl...
The distance between a quantum state and its closest state not having a certain property has been us...
The notion of distance defined on the set of states of a composite quantum system can be used to qua...
The notion of distance defined on the set of states of a composite quantum system can be used to qua...
The distance between a quantum state and its closest state not having a certain property has been us...
Abstract. The notion of distance defined on the set of states of a composite quantum system can be u...
Abstract. We define and analyze measures of correlations for bipartite states based on trace distanc...
We introduce quantum correlation measures based on the minimal change in unified entropies induced b...
We propose an information-theoretic framework to quantify multipartite correlations in classical and...
We investigate and compare three distinguished geometric measures of bipartite quantum correlations ...
Given a quantum system on many qubits split into a few different parties, how many total correlation...
We review a recently developed theoretical approach to the experimental detection and quantification...
The correlation distance quantifies the statistical independence of two classical or quantum systems...
International audienceWe investigate and compare three distinguished geometric measures of bipartite...
The correlation distance quantifies the statistical independence of two classical or quantum systems...
We discuss the problem of the separation of total correlations in a given quantum state into entangl...
The distance between a quantum state and its closest state not having a certain property has been us...
The notion of distance defined on the set of states of a composite quantum system can be used to qua...
The notion of distance defined on the set of states of a composite quantum system can be used to qua...
The distance between a quantum state and its closest state not having a certain property has been us...
Abstract. The notion of distance defined on the set of states of a composite quantum system can be u...
Abstract. We define and analyze measures of correlations for bipartite states based on trace distanc...
We introduce quantum correlation measures based on the minimal change in unified entropies induced b...
We propose an information-theoretic framework to quantify multipartite correlations in classical and...
We investigate and compare three distinguished geometric measures of bipartite quantum correlations ...
Given a quantum system on many qubits split into a few different parties, how many total correlation...
We review a recently developed theoretical approach to the experimental detection and quantification...
The correlation distance quantifies the statistical independence of two classical or quantum systems...
International audienceWe investigate and compare three distinguished geometric measures of bipartite...
The correlation distance quantifies the statistical independence of two classical or quantum systems...
We discuss the problem of the separation of total correlations in a given quantum state into entangl...