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arXiv quant-ph/9907104quant-ph
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纠缠与量子力学的线性

Entanglement and the linearity of quantum mechanics

G. Alber

摘要:

讨论了两个量子系统在所有可能的初始态下以最优方式纠缠的最优普适纠缠过程。结果表明,量子理论的线性特征,强制量子力学和相对论的和平共处,产生的最佳纠缠态的结构施加了严格的限制。根据单粒子希尔伯特空间的维度,这样一个普适过程会产生纯贝尔态或混合纠缠态。在单粒子希尔伯特空间的很大维数的极限下,最佳纠缠态的冯诺伊曼熵与最大混合两粒子态的冯诺依曼熵仅相差一位.

英文摘要:

Optimal universal entanglement processes are discussed which entangle two quantum systems in an optimal way for all possible initial states. It is demonstrated that the linear character of quantum theory which enforces the peaceful coexistence of quantum mechanics and relativity imposes severe restrictions on the structure of the resulting optimally entangled states. Depending on the dimension of the one-particle Hilbert space such a universal process generates either a pure Bell state or mixed entangled states. In the limit of very large dimensions of the one-particle Hilbert space the von-Neumann entropy of the optimally entangled state differs from the one of the maximally mixed two-particle state by one bit only.

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