  Bell experiments have confirmed that quantum entanglement is an inseparable
correlation but there is no faster-than-light influence between two entangled
particles when a local measurement is performed. However, how such an
inseparable correlation is maintained and manifested when the two entangled
particle are space-like separated is still not well understood. The recently
proposed extended least action principle for quantum mechanics brings new
insights to this question. By applying this principle, we show here that even
though the inseparable correlation may be initially created by previous
physical interaction between the two particles, the preservation and
manifestation of such inseparable correlation are achieved through extremizing
an information metric that measures the additional observable information of
the bipartite system due to vacuum fluctuations. This is physically realized
even though there is no further interaction when the two particles move apart,
and the underlying vacuum fluctuations are local. In other words, the
propagation of inseparable correlation in quantum theory is realized by an
information requirement and through a local mechanism. An example of two
entangled free particles described by Gaussian wave packets is provided to
illustrate these results.
