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Physical Review A

Entanglement concentration in Bose-Einstein condensates

Jacob Dunningham, Sougato Bose, Leah Henderson, Vlatko Vedral, Keith R. Burnett

Published May 30, 2002• 22 citations
Publisher

Abstract

We propose a scheme for demonstrating entanglement swapping (i.e., teleportation of entanglement) using trapped Bose-Einstein condensates. This is accomplished by detection of the total number of atoms leaking out of two adjacent traps. We describe how this scheme may be used to concentrate entanglement shared between two parties in the form of entangled condensates.

DOI
10.1103/physreva.65.064302

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We propose a scheme for demonstrating entanglement swapping (i.e., teleportation of entanglement) using trapped Bose-Einstein condensates. This is accomplished by detection of the total number of atoms leaking out of two adjacent traps. We describe how this scheme may be used to concentrate entanglement shared between two parties in the form of entangled condensates.
We propose a scheme of entanglement swapping and concentration in a system consisting of multi-pair entangled trapped Bose–Einstein condensates (BECs). In this scheme, entanglement swapping is accomplished by using interference-pattern joint measurements and detecting the total number of condensed atoms leaking out of relevant traps while entanglement concentration is realized by controlling inter-atomic nonlinear and tunnelling interactions. Three- and four-pair BEC schemes are investigated in detail. It is found that with the increasing number of the entangled pairs, the region of entanglement concentration is broadened and the amount of concentrated entanglement is enhanced.
我们建议纠纷在由多对组成的一个系统交换和集中的一个计划纠缠了套住的 Bose 爱因斯坦冷凝物(BEC ) 。在这个计划，纠纷交换被使用干扰模式关节大小并且检测当纠纷集中被控制内部原子的非线性、掘的相互作用认识到时，从相关陷井漏的压缩原子的全部的数字完成。三 -- 并且四个 pairBEC 计划详细被调查。与纠缠的对的增加的数字，纠纷集中的区域被拓宽，集中的纠纷的数量被提高，这被发现。
We propose an effective scheme for the entanglement concentration of a four-particle state via entanglement swapping in an ion trap. Taking the maximally entangled state after concentration as a quantum channel, we can faithfully and determinatively teleport quantum entangled states from Alice to Bob without the joint Bell-state measurement. In the process of constructing the quantum channel, we adopt entanglement swapping to avoid the decrease of entanglement during the distribution of particles. Thus our scheme provides a new prospect for quantum teleportation over a longer distance. Furthermore, the success probability of our scheme is 1.0.
We propose protocols for quantum teleportation of superposed coherent states of atomic Bose—Einstein condensates. We use the photon entanglement states as the quantum channel, which makes it possible to realize the distant teleportation of atomic states. Two robust protocols are introduced: one is a single-photon scheme in which an entangled single-photon state serves as the quantum channel, and the other is a multi-photon scheme where an entangled coherent state of the probe lasers is used as the quantum channel.