arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/9810071quant-phhep-th
收藏

在量子理论中如何产生违反Bell不等式的纠缠态

On how to Produce Entangled States Violating Bell's Inequalities in Quantum Theory

Apoorva Patel

摘要:

费曼路径积分提供了量子力学(和量子场论)的隐变量描述。时间演化核在闵可夫斯基时间中是酉的,但一般来说,它在欧几里得时间中变成实的和非负的。由此可见,在闵可夫斯基时间中违反贝尔不等式的纠缠态关联在欧几里得时间中服从不等式。这一观察强调了量子力学中贝尔不等式的违反与理论的幺正性之间的联系。搜索一个不能方便地使非负的进化核会导致违反时间反演不变性的有效相互作用。在理论的有效描述中产生几何相位的相互作用,如反常的韦斯-祖米诺相互作用,就具有这种特征。我推断,他们必须存在于任何设置,产生纠缠态违反贝尔不等式。这种相互作用将是量子计算机的关键组成部分。

英文摘要:

Feynman's path integrals provide a hidden variable description of quantum mechanics (and quantum field theories). The time evolution kernel is unitary in Minkowski time, but generically it becomes real and non-negative in Euclidean time. It follows that the entangled state correlations, that violate Bell's inequalities in Minkowski time, obey the inequalities in Euclidean time. This observation emphasises the link between violation of Bell's inequalities in quantum mechanics and unitarity of the theory. Search for an evolution kernel that cannot be conveniently made non-negative leads to effective interactions that violate time reversal invariance. Interactions giving rise to geometric phases in the effective description of the theory, such as the anomalous Wess-Zumino interactions, have this feature. I infer that they must be present in any set-up that produces entangled states violating Bell's inequalities. Such interactions would be a crucial ingredient in a quantum computer.

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。

↑