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
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010