Construction of noisy bound entangled states and the range criterion

Publication date: Available online 4 April 2019Source: Physics Letters AAuthor(s): Saronath Halder, Ritabrata SenguptaAbstractIn this work we consider bipartite noisy bound entangled states with positive partial transpose, that is, such a state can be written as a convex combination of an edge state and a separable state. In particular, we present schemes to construct distinct classes of noisy bound entangled states which satisfy the range criterion. As a consequence of the present study we also identify noisy bound entangled states which do not satisfy the range criterion. All of the present states are constituted by exploring different types of product bases.

Source: Physics Letters A - April 5, 2019 Category: Physics Source Type: research