Antisymmetric multi-partite quantum states and their applications
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.
Cite
@article{arxiv.quant-ph/0209062,
title = {Antisymmetric multi-partite quantum states and their applications},
author = {I. Jex and G. Alber and S. M. Barnett and A. Delgado},
journal= {arXiv preprint arXiv:quant-ph/0209062},
year = {2015}
}