arXiv 1502.050312015-02quant-ph

概率放大器的放大测不准关系

Amplification uncertainty relation for probabilistic amplifiers

Ryo Namiki

备注：: 12 pages, 2 figures. Accepted for publication in Phys. Rev. A
发表信息：: Phys. Rev. A 92, 032326 (2015)
DOI：: 10.1103/PhysRevA.92.032326

摘要：

传统上，量子放大极限是指当一个未知态的场振幅通过一个量子信道进行线性变换时，正则变量上不可避免的噪声附加的性质。最近的理论研究已经通过指定一组输入态或状态系综来确定概率量子信道或一般量子操作的情况下的放大极限。然而，它仍然开放有多少多余的噪音是不可避免的典型变量，以及是否存在一个基本的权衡关系之间的典型对在一般的放大过程。在本文中，我们提出了一个不确定性的产品形式的一般量子操作的放大极限，通过假设一个高斯分布的相干态的输入系综。它可以作为正则不确定关系的直接结果导出，并检索传统放大极限的基本性质。此外，我们的放大极限原来给爱因斯坦-波多尔斯基-罗森不确定性的概率减少的物理限制。在这方面，我们找到了一个条件，概率放大器可以被视为本地过滤操作提取纠缠。这个条件建立了一个明确的基准，以验证一个可行的输入集的相干状态和标准零差测量的高斯运算以外的非高斯运算的优势。

英文摘要：

Traditionally, quantum amplification limit refers to the property of inevitable noise addition on canonical variables when the field amplitude of an unknown state is linearly transformed through a quantum channel. Recent theoretical studies have determined amplification limits for cases of probabilistic quantum channels or general quantum operations by specifying a set of input states or a state ensemble. However, it remains open how much excess noise on canonical variables is unavoidable and whether there exists a fundamental trade-off relation between the canonical pair in a general amplification process. In this paper we present an uncertainty-product form of amplification limits for general quantum operations by assuming an input ensemble of Gaussian distributed coherent states. It can be derived as a straightforward consequence of canonical uncertainty relations and retrieves basic properties of the traditional amplification limit. In addition, our amplification limit turns out to give a physical limitation on probabilistic reduction of an Einstein-Podolsky-Rosen uncertainty. In this regard, we find a condition that probabilistic amplifiers can be regarded as local filtering operations to distill entanglement. This condition establishes a clear benchmark to verify an advantage of non-Gaussian operations beyond Gaussian operations with a feasible input set of coherent states and standard homodyne measurements.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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