On states of perfect correlation
Siendong Huang · Journal of Mathematical Physics · 2008
For finite-dimensional systems, states satisfying perfect correlation are just maximally entangled states that play an essential role in quantum information theory. Thus perfect correlation may be a key to entanglement phenomena. For general systems, Einstein–Podolsky–Rosen type states are characterized by perfect correlation and their properties are discussed. Conditions equivalent to perfect correlation are found. As an application of perfect correlation, all Einstein–Podolsky–Rosen type states on a two-particle system are given. Unlike in finite-dimensional systems, they are generally not quasiequivalent.