All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

We review the theory of entanglement measures, concentrating mostly on the finite
dimensional two-party case. Topics covered include: single-copy and asymptotic …

It is proven that logarithmic negativity does not increase on average under a general positive
partial transpose preserving operation (a set of operations that incorporate local operations …

This book is the revised English edition of the Japanese book Introduction to Quantum
Information Theory, which systematically describes quantum information theory and was …

We describe the most general form of the Alicki–Fannes–Winter method for obtaining
uniform continuity bounds for characteristics of composite quantum systems and consider …

We introduce a family of separability criteria that are based on the existence of extensions of
a bipartite quantum state ρ to a larger number of parties satisfying certain symmetry …

In spite of many results in quantum information theory, the complex nature of compound
systems is far from clear. In general the information is a mixture of local and nonlocal …

Theory of quantifying entanglement is reviewed in a unified framework. The subject is
divided with respect to finite and asymptotic regime, as well as abstract and operational …

We outline the basic questions that are being studied in any theory of entanglement.
Following a brief review of some of the main achievements of entanglement theory for finite …