Eur. Phys. J. D 58, 403-407 (2010)
https://doi.org/10.1140/epjd/e2010-00106-8

Perfect quantum information processing with Dicke-class state

¹ Department of Physics, Hunan University of Science and Technology, Xiangtan, 411201, P.R. China
² Department of Physics, Beijing Institute of Technology, Beijing, 100081, P.R. China

Corresponding author: ^a raul121991@126.com

Received: 22 January 2010
Revised: 12 March 2010
Published online: 26 April 2010

Abstract

We investigate the possibility of implementing perfect quantum information processing with Dicke-class state. It is shown that the symmetric Dicke state | only has the maximal bipartite entanglement of one ebit when N = 2m and generally it is not maximally entangled for all bipartitions. By adjusting the suitable weights and relative phases in the Dicke state |, we present a class of asymmetric Dicke states | which have the maximal bipartite entanglement of q (1 ≤ q ≤ m) ebits. We also obtain the sufficient and necessary condition that the Dicke-class states | have the maximal bipartite entanglement. We illustrate our idea using the four-qubit Dicke state with two excitations. It is shown that our proposed Dicke-class states have distinct advantages over the symmetric Dicke state in perfect quantum information processing.