Quantifying non-Markovianity via conditional mutual information

Non-Markovianity through accessible information

Quantum discord (QD) measures the fraction of the pairwise mutual information that is locally inaccessible in a multipartite system. Fundamental aspects related to two important measures in quantum information theory, namely the entanglement of formation (EOF) and the conditional entropy, can be understood in terms of the distribution of this form of local inaccessible information (LII). As suc...

Quantifying synergistic mutual information

Quantifying cooperation or synergy among random variables in predicting a single target random variable is an important problem in many complex systems. We review three prior information-theoretic measures of synergy and introduce a novel synergy measure defined as the difference between the whole and the union of its parts. We apply all four measures against a suite of binary circuits to demon...

The Intrinsic Conditional Mutual Information

This paper is concerned with secret key agreement by public discussion: two parties Alice and Bob and an adversary Eve have access to independent realizations of random variables X, Y , and Z, respectively, with joint distribution P XY Z. The secret key rate S(X; Y jjZ) has been deened as the maximal rate at which Alice and Bob can generate a secret key by communication over an insecure, but au...

About the Mutual (Conditional) Information

Non-Markovianity and the flow of information

To understand the information flow between a system and it environment, we based our studies on the decoherence program [1]where a system S is coupled to a measurement apparatus A, which in turn interacts with an environment E . In this sense, it introduces the concept of assisted knowledge, where the environment E , acquires information about a system S, by means of its measurement apparatus A.