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arXiv quant-ph/0104123quant-ph
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基于广义相干态的量子理论如何解决EPR和测量问题

How a Quantum Theory Based on Generalized Coherent States Resolves the EPR and Measurement Problems

Daniel I. Fivel

摘要:

它表明,量子理论可以制定在均匀空间的广义相干态的方式,占干扰,纠缠,和线性的动力学,而不使用叠加原理。相干态标签本质上是准备态的指令,这使得在希尔伯特空间中用投影仪识别性质变得不必要。这就消除了所谓的“本征值-本征态”联系,从而使理论避开了测量问题。该理论允许我们预测的是相干态之间关系测试结果的分布。它表明,量子非决定性可以归因于一个隐藏的变量(噪音)在空间的关系,而不违反no-go定理(如Kochen-Specker)。结果表明,纠缠态的产生使相干态真空发生畸变。真空的非定域性使得这种失真在没有信号传输的情况下到处都能感觉到,从而以明显的协变方式解释了EPR相关性。

英文摘要:

It is shown that the quantum theory can be formulated on homogeneous spaces of generalized coherent states in a manner that accounts for interference, entanglement, and the linearity of dynamics without using the superposition principle. The coherent state labels, which are essentially instructions for preparing states, make it unnecessary to identify properties with projectors in Hilbert space. This eliminates the so called "eigenvalue-eigenstate" link, and the theory thereby escapes the measurement problem. What the theory allows us to predict is the distribution in the outcomes of tests of relations between coherent states. It is shown that quantum non-determinism can be attributed to a hidden variable (noise) in the space of relations without violating the no-go theorems (e.g. Kochen-Specker). It is shown that the coherent state vacuum is distorted when entangled states are generated. The non-locality of the vacuum permits this distortion to be felt everywhere without the transmission of a signal and thereby accounts for EPR correlations in a manifestly covariant way.

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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