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arXiv quant-ph/0410058quant-ph
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量子相干态的最优克隆是非高斯的

The optimal cloning of quantum coherent states is non-Gaussian

N. J. Cerf, O. Krueger, P. Navez, R. F. Werner, M. M. Wolf

摘要:

我们考虑了量子相干态的最优克隆,并将单克隆和联合保真度作为品质因数。这两个最佳的并行性获得相空间平移协变克隆。值得注意的是,联合保真度通过高斯克隆器最大化,而单克隆保真度可以通过非高斯操作增强:对称非高斯1到2克隆器可以实现约0.6826的单克隆保真度,明显高于高斯设置中的2/3的最佳保真度。这种最佳的克隆器可以实现的光学参量放大器的补充与非高斯双峰态的特定源的装置。最后,我们表明,最佳的1到无穷大的克隆,对应于一个测量和准备计划的单克隆保真度,不能超过1/2。这个值是通过高斯方案实现的,即使有补充的束缚纠缠态也不能超过。

英文摘要:

We consider the optimal cloning of quantum coherent states with single-clone and joint fidelity as figures of merit. Both optimal fidelities are attained for phase space translation covariant cloners. Remarkably, the joint fidelity is maximized by a Gaussian cloner, whereas the single-clone fidelity can be enhanced by non-Gaussian operations: a symmetric non-Gaussian 1-to-2 cloner can achieve a single-clone fidelity of approximately 0.6826, perceivably higher than the optimal fidelity of 2/3 in a Gaussian setting. This optimal cloner can be realized by means of an optical parametric amplifier supplemented with a particular source of non-Gaussian bimodal states. Finally, we show that the single-clone fidelity of the optimal 1-to-infinity cloner, corresponding to a measure-and-prepare scheme, cannot exceed 1/2. This value is achieved by a Gaussian scheme and cannot be surpassed even with supplemental bound entangled states.

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