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arXiv quant-ph/0207033quant-ph
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干涉和纠缠：一种内在的方法

Interference and entanglement: an intrinsic approach

Vladimir I Man'ko, Giuseppe Marmo, E C George Sudarshan, Francesco Zaccaria

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LaTex, 19 pages, to appear in J. Phys. A
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摘要：

提出了一种非纯密度算符的加法规则，它提供了一种纯态密度算符。在密度算符形式下讨论了包含可见性的量子干涉。然后引入一个纠缠度作为矩阵的范数，它等于二分密度矩阵与部分迹的张量积之差。讨论了多体系统中任意量子观测量的纠缠。利用星积核将密度算子的加法规则映射到算子符号的加法规则上。讨论了纯态投影子及其相关算符的纠缠和非定域性。层析和Weyl符号（层析和维格纳函数）被认为是作为例子。研究了压缩态和某些自旋态（两个量子比特）的形式。

英文摘要：

An addition rule of impure density operators, which provides a pure state density operator, is formulated. Quantum interference including visibility property is discussed in the context of the density operator formalism. A measure of entanglement is then introduced as the norm of the matrix equal to the difference between a bipartite density matrix and the tensor product of partial traces. Entanglement for arbitrary quantum observables for multipartite systems is discussed. Star-product kernels are used to map the formulation of the addition rule of density operators onto the addition rule of symbols of the operators. Entanglement and nonlocalization of the pure state projector and allied operators are discussed. Tomographic and Weyl symbols (tomograms and Wigner functions) are considered as examples. The squeezed-states and some spin-states (two qubits) are studied to illustrate the formalism.

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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