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Journal of Physics B Atomic Molecular and Optical Physics

Properties of entanglement molecules

Yanxia Huang, Mingsheng Zhan

Published Aug 18, 2004• 4 citations
Publisher

Abstract

We propose a scheme to prepare a certain kind of N-atom entangled state that allows us to construct some possible types of entanglement molecules via cavity QED. The entanglement properties of entanglement molecules \psi(N)>(alpha) are studied with respect to bipartite entanglement that is robust against the disposal of particles and are compared with entanglement molecules p, introduced in Dur (2001 Phys. Rev. A 63 020303). We also give the maximal amount of entanglement achievable for two particular situations in two possible configurations. Meanwhile, we investigate the entanglement properties of entanglement molecules \psi(N)>(alpha) in terms of local measurement using the maximum connectedness and persistency and compare them with other kinds of N-atom entangled states such as \GHZ>, \W-N> and \phi(N)>. We show that the maximal value N - 1 of the persistency of the state \psi(N)>(alpha) corresponds to the case that all atoms are pairwise entangled. If any pair of atoms rho(ij) is disentangled, the entanglement of the state \psi(N)>(alpha) is very easy to destroy by a single local measurement.

DOI
10.1088/0953-4075/37/17/001

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We propose a scheme to prepare a certain kind of N-atom entangled state that allows us to construct some possible types of entanglement molecules via cavity QED. The entanglement properties of entanglement molecules \psi(N)>(alpha) are studied with respect to bipartite entanglement that is robust against the disposal of particles and are compared with entanglement molecules p, introduced in Dur (2001 Phys. Rev. A 63 020303). We also give the maximal amount of entanglement achievable for two particular situations in two possible configurations. Meanwhile, we investigate the entanglement properties of entanglement molecules \psi(N)>(alpha) in terms of local measurement using the maximum connectedness and persistency and compare them with other kinds of N-atom entangled states such as \GHZ>, \W-N> and \phi(N)>. We show that the maximal value N - 1 of the persistency of the state \psi(N)>(alpha) corresponds to the case that all atoms are pairwise entangled. If any pair of atoms rho(ij) is disentangled, the entanglement of the state \psi(N)>(alpha) is very easy to destroy by a single local measurement.
We investigate the entanglement properties of multiparticle systems, concentrating on the case where the entanglement is robust against the disposal of particles. Two qubits---belonging to a multipartite system---are entangled in this sense if their reduced density matrix is entangled. We introduce a family of multiqubit states, for which one can choose for any pair of qubits independently whether they should be entangled or not as well as the relative strength of the entanglement, thus providing the possibility to construct all kinds of ``entanglement molecules.'' For some particular configurations, we also give the maximal amount of entanglement achievable.
In this paper, we present a scheme to prepare a set of the multi-atom entangled states by the cavity quantum electrodynamics (QED) technology. The multi-atom entangled states have some particular entanglement properties. For example, the remaining reduced density matrices ρ ij still retain entanglement or disentanglement when any N -2 atoms of the N atoms are traced out, which can be chosen freely according to our need and the relative entanglement strength of any pair of atoms (measured by the concurrence) can be arbitrarily adjusted. In addition, they may be completely symmetric under the exchange of any two atoms and perform certain quantum information tasks, such as telecloning, teleportation, secret sharing and so on.
This paper presents a method for generating entanglement molecules, which is introduced by Dur (2001 Phys. Rev. A). In this scheme, N ladder-type three-level atoms are sent through a resonant weak coherent cavity field, then the system states are measured. And the system field may collapse onto some possible types of entanglement molecules. Meanwhile it discusses about the interaction time from the experimental point of view, and compare the result with the previous scheme proposed by Huang (2004 J. Phys. B: At. Mol. Opt. Phys. ).
Entanglement is nowadays considered as a key quantity for the understanding of correlations, transport properties, and phase transitions in composite quantum systems, and thus receives interest beyond the engineered applications in the focus of quantum information science. We review recent experimental and theoretical progress in the study of quantum correlations under that wider perspective, with an emphasis on rigorous definitions of the entanglement of identical particles, and on entanglement studies in atoms and molecules.
Recently Yang, Chu, and Han [Phys. Rev. A 70 (2004) 022329] presented a new type of multipartite entangled states for implementing efficient many-party controlled teleportation of multiqubit quantum information. Here we propose a simple scheme for preparing such a type of multi-atom entangled states in cavity quantum electrodynamics (QED). The scheme involves atom-cavity interaction with large detuning, and is immune to the cavity decay and the thermal field states. Some practical analyses show its availability with the present technology.