Antisymmetric multi-partite quantum states and their applications

✍ Scribed by I. Jex; G. Alber; S.M. Barnett; A. Delgado

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 97 KB
• Volume: 51
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200310021

✦ Synopsis

Abstract

Entanglement is a powerful resource for processing quantum information. In this context pure, maximally entangled states have received considerable attention. In the case of bipartite qubit‐systems the four orthonormal Bell‐states are of this type. One of these Bell states, the singlet Bell‐state, has the additional property of being antisymmetric with respect to particle exchange. In this contribution we discuss possible generalizations of this antisymmetric Bell‐state to cases with more than two particles and with single‐particle Hilbert spaces involving more than two dimensions. We review basic properties of these totally antisymmetric states. Among possible applications of this class of states we analyze a new quantum key sharing protocol and methods for comparing quantum states.