… This book provides a detailed introduction to the key concepts used in processing quantum
… Our purpose is to describe this geometry. We believe it is worth doing. Quantum state spaces …

… We present an introduction to the problems of separability and entanglement together with …
out recent achievements in geometric characterization of entangled pure states of multipartite …

… out to be a ball of rather low purity states. We also address some of the corresponding, but
harder, geometric properties of separable and entangled states and entanglement witnesses. …

… Violation of these inequalities by entangled states is a signature of entanglement of quantum
states; however, the physical meaning of this was unclear. An interesting attempt to solve …

… , quantum communication, and quantum cryptography. In this paper, we introduce algebraic
… spaces, for the mixed states on bipartite or multipartite quantum systems as their invariants …

… In Section 7, we examine the state space of a spin 2 system, which can be characterised by
… a geometric theory of entangled states and discuss the properties of quantum measurements …

… to the set of quantum states also has a … all quantum states and we consider it as immersed
in the set A of Hermitian matrices of unity trace, S the subset composed of the separable states…

… quantification of entanglement for many-body systems. Rather, quantum states connected
… probabilistically the same quantum tasks, can be collected into entanglement classes, also …

… quantum states, which will be considered in this article. Gaussian states are quantum states
that … These states are fundamental for continuous variable quantum information science [6]. …

… In this paper a different point of view is adopted to state a proposal of entanglement measure
within geometric framework, it is based on the description of quantum states in terms of (…