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Quantum Information and Computation

Optimal deterministic entanglement concentration of polarized photons through direct sum extension and cavity-assisted interaction

LiWen-Dong, ZhangWen-Zhao, MaLi-Zhen, GuYong-Jian

Published Jul 1, 2011• 0 citations
Publisher

Abstract

A scheme for optimal deterministic entanglement concentration is proposed, and its corresponding optical realization based on a cavity-assisted linear optical system is presented. In this scheme, t...
DOI
10.5555/2230916.2230920

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A scheme for optimal deterministic entanglement concentration is proposed, and its corresponding optical realization based on a cavity-assisted linear optical system is presented. In this scheme, the quantum circuit devised is simpler than that built in [Y. J. Gu, et al. (2006), Phys. Rev. A. 73, 022321], as it requires the minimum ancillary dimensions and the number of unitary operations. Moreover, we show that, by introducing a path-polarization entanglement state based on the direct sum extension method, three elementary controlled phase-flip gates between two photons are sufficient in the design of its optical realization scheme, making it easy to be implemented from the experimental point of view. Meanwhile, the scheme is verified effective to recover highly entangled pairs from mixed states.
We propose a scheme for optical realization of deterministic entanglement concentration of polarized photons. To overcome the difficulty due to the lack of sufficiently strong interactions between photons, teleportation is employed to transfer the polarization states of two photons onto the path and polarization states of a third photon, which is made possible by the recent experimental realization of the deterministic and complete Bell state measurement. Then the required positive operator-valued measurement and further operations can be implemented deterministically by using a linear optical setup. All these are within the reach of current technology.
我们为极化的光子的确定的纠纷集中的光实现建议一个计划。由于在光子之间的足够地强壮的相互作用的缺乏克服困难，远距传物被采用转移二个光子的极化状态到路径和第三个光子的极化状态上，它被确定、完全的贝尔状态测量的最近的试验性的实现使可能。然后，要求的积极珍视操作员的测量和进一步的操作能被实现由使用线性光安装的确定的联盟者。这些在当前的技术的活动范围以内的所有。
We propose two optimal entanglement concentration protocols (ECPs) for arbitrary single-photon multi-mode W state and multi-photon polarization W state, respectively. In both ECPs, we only require one pair of partially entangled W state, and do not consume any auxiliary photon. Both ECPs are based on the linear optics which can be easily realized. On the other hand, the concentrated maximally entangled states can be remained, which are quite different from the previous ECPs. Moreover, for the concentration of the arbitrary single-photon N-mode W state or N-mode polarization W state, the total success probability is equal to Nth the modulus square of the Schmidt coefficient of the smallest magnitude. It makes both ECPs optimal than all the previous ECPs. Our ECPs may be useful in current quantum communication fields.