论文标题

熵不确定性关系和量子到古典过渡

Entropic Uncertainty Relations and the Quantum-to-Classical transition

论文作者

Veeren, Isadora, de Melo, Fernando

论文摘要

我们对量子力学的了解可以令人满意地描述简单的微观系统,但尚未解释我们观察到的宏观日常现象。在这里,我们的目的是通过分析不确定性关系来了解量子到古典的过渡。我们采用熵不确定性关系来表明,只有在我们的宏观测量模型中包括不精确的情况下,我们才能同时使用两个定义明确的数量来准备一个系统,即使它们的相关可观察到不通勤。我们还建立了如何提高测量的精度以保持量子性能,这是大量子计算机的理想特征。

Our knowledge of quantum mechanics can satisfactorily describe simple, microscopic systems, but is yet to explain the macroscopic everyday phenomena we observe. Here we aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities, even if their associated observables do not commute. We also establish how the precision of measurements must increase in order to keep quantum properties, a desirable feature for large quantum computers.

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