Abstract
We study the detection of multipartite entanglement based on the generalized local uncertainty relations. A sufficient criterion for the entanglement of four-partite quantum systems is presented in terms of the local uncertainty relations. Detailed examples are given to illustrate the advantages of our criterion. The approach is generalized to general multipartite entanglement cases.
Highlights
We study the detection of multipartite entanglement based on the generalized local uncertainty relations
Quantum entanglement is a remarkable feature in quantum physics[1] and has attracted much attention in recent years
Entangled states are recognized as the essential resources in quantum information processing, with many experimental realizations[2,3] and applications in such as quantum algorithms[4], quantum teleportation[4,5], quantum cryptography[6]
Summary
We study the detection of multipartite entanglement based on the generalized local uncertainty relations. There have been many efficient entanglement criteria such as local uncertainty relations (LUR)[11,12], covariance matrix criterion (CMC)[13], computable cross-norm or realignment criterion (CCNR)[14], permutation separability criteria[15], criterion based on Bloch r epresentations[17,18], entanglement w itnesses[21], Bell-type inequalities c riteria[22], and criterion based on quantum Fisher information[23]. These criteria are only necessary condition for separable states and have different advantages in detect different entanglements. Zhang et al proposed a tighter form of the original LUR criterion to improve the range of entanglement detection[31], Akbari-Kourbolagh and Azhdargalam generalized the LUR criterion to the tripartite systems[33]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
