  Spatial entanglement is at the heart of quantum enhanced imaging applications
and high-dimensional quantum information protocols. In particular, for imaging
and sensing applications, quantum states with a macroscopic number of photons
are needed to provide a real advantage over the classical state-of-the-art. We
demonstrate the Einstein-Podolsky-Rosen (EPR) paradox in its original position
and momentum form with bright twin beams of light by showing the presence of
EPR spatial (position-momentum) entanglement. An electron-multiplying
charge-coupled-device camera is used to record images of the bright twin beams
in the near and far field regimes to achieve an apparent violation of the
uncertainty principle by more than an order of magnitude. We further show that
the presence of quantum correlations in the spatial and temporal degrees of
freedom leads to spatial squeezing between the spatial fluctuations of the
bright twin beams in both the near and far fields. This provides another
verification of the spatial entanglement and points to the presence of
hyperentanglement in the bright twin beams.

Quantum Physics