Quantum Information in Space and Time
Quantum Information in Space and Time
复制标题
时空量子信息
DOI：
--
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
I. Volovich
中科院分区：
文献类型：
--
作者：
I. Volovich
在忽略量子现象的时空依赖性的理想化情况下，现代量子信息论已经取得了许多重要的结果。然而，(量子)信息的传输和处理是一个时空中的物理过程。因此，量子信息论中的基本概念，如复合系统、纠缠态和信道的概念，应该在空间和时间上表述。我们强调了在空间和时间上研究量子信息的重要性。讨论了时间和空间中的纠缠态。建议对包含时空变量的贝尔方程进行修正。提出了量子理论与经典随机过程理论之间的一般关系。它以非对易谱定理的形式表示局部实在论的条件。讨论了这种关系在量子密码学中量子密钥分配的安全性方面的应用。
Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime. Therefore such basic notions in quantum information theory as the notions of composite systems, entangled states and the channel should be formulated in space and time. We emphasize the importance of the investigation of quantum information in space and time. Entangled states in space and time are considered. A modification of Bell`s equation which includes the spacetime variables is suggested. A general relation between quantum theory and theory of classical stochastic processes is proposed. It expresses the condition of local realism in the form of a {\it noncommutative spectral theorem}. Applications of this relation to the security of quantum key distribution in quantum cryptography are considered.