论文标题
Parton模型中密度基质的纠缠,部分测量和对角线性
Entanglement, partial set of measurements, and diagonality of the density matrix in the parton model
论文作者
论文摘要
我们定义了“无知的熵”,该“熵”量化了与仅在量子系统上执行一组测量的能力相关的熵。对于Parton模型,无知的熵等于Parton的经典系统的螺栓曼熵。我们分析了一个可计算的模型,用于描述彩色玻璃冷凝物方法中的低X胶子,该模型与QCD的Parton模型具有相似之处。在此模型中,我们在粒子数基础上计算无知的熵以及可观察到的自由度的纠缠熵。我们发现这两者在高动量上是相似的,但是在低臂上,订单统一因素有所不同。这适用于Renyi以及冯·诺伊曼(Von Neumann)的熵。我们得出的结论是,纠缠在Parton模型的背景下似乎并不重要。
We define the "entropy of ignorance" which quantifies the entropy associated with ability to perform only a partial set of measurement on a quantum system. For a parton model the entropy of ignorance is equal to a Boltzmann entropy of a classical system of partons. We analyze a calculable model used for describing low x gluons in Color Glass Condensate approach, which has similarities with the parton model of QCD. In this model we calculate the entropy of ignorance in the particle number basis as well as the entanglement entropy of the observable degrees of freedom. We find that the two are similar at high momenta, but differ by a factor of order unity at low momenta. This holds for the Renyi as well as von Neumann entropies. We conclude that the entanglement does not seem to play an important role in the context of the parton model.