A class of entanglement witnesses and a realignment-like criterion.

ABSTRACT: We present a multi-parameter family of positive maps between spaces of arbitrary but finite dimensions. This framework facilitates the construction of Entanglement Witnesses (EWs) specifically designed for systems living in [Formula: see text] dimensions. A sufficient condition for positivity is presented. Interestingly, it is shown that all EWs constructed this way are equivalent to a single realignment-like criterion which for [Formula: see text] and [Formula: see text] are different is in general stronger than the original realignment criterion. We illustrate effectiveness of this criterion considering examples of Positive Partial Transpose entangled states in [Formula: see text] and [Formula: see text] dimensions.

SUBMITTER: Jannesary V 

PROVIDER: S-EPMC11832762 | biostudies-literature | 2025 Feb

REPOSITORIES: biostudies-literature