Continuous Variable Quantum Information: Gaussian States and Beyond
Continuous Variable Quantum Information: Gaussian States and Beyond
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DOI：
10.1142/s1230161214400010
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发表时间：
2014-06-01
影响因子：
0.8
通讯作者：
Lee, Antony R.
中科院分区：
文献类型：
--
作者：
Adesso, Gerardo;Ragy, Sammy;Lee, Antony R.
近年来，高斯态的研究在连续变量量子信息学中占有重要地位。这是由于强烈追求的实验实现和辉煌优雅的数学框架。在本文中，我们提供了一个简短的，并希望说教，高斯态量子信息及其当代用途的阐述，包括有时省略的关键细节。在介绍了主题材料并概述了连续变量系统的基本工具箱之后，我们定义了理解高斯状态和高斯运算所需的基本概念。特别是，重点放在数学结构相结合的概念，代数和辛几何基本高斯信息学的完整理解。此外，我们讨论了高斯态的不同形式的关联（包括纠缠和量子不和谐）的量化，特别注意最近开发的措施。本文的结论是简洁地表达了主要的高斯状态限制，并概述了选择未来可能的线与连续变量系统的量子信息处理。
The study of Gaussian states has arisen to a privileged position in continuous variable quantum information in recent years. This is due to vehemently pursued experimental realisations and a magnificently elegant mathematical framework. In this paper, we provide a brief, and hopefully didactic, exposition of Gaussian state quantum information and its contemporary uses, including sometimes omitted crucial details. After introducing the subject material and outlining the essential toolbox of continuous variable systems, we define the basic notions needed to understand Gaussian states and Gaussian operations. In particular, emphasis is placed on the mathematical structure combining notions of algebra and symplectic geometry fundamental to a complete understanding of Gaussian informatics. Furthermore, we discuss the quantification of different forms of correlations (including entanglement and quantum discord) for Gaussian states, paying special attention to recently developed measures. The paper is concluded by succinctly expressing the main Gaussian state limitations and outlining a selection of possible future lines for quantum information processing with continuous variable systems.