Imaginary entanglement as a cost of unitarity

Abstract

The contradiction between the fidelity necessary to determine the entanglement of states and the noise accompanying high-precision measurements is discussed. The unitary nonequivalence of quantum field representations in different regions of space leads to an additional noise, analogously to the Unruh effect. The cause of this noise is eliminated by rejecting the assumption of statistical independence of single-particle states of the quantum field. The smearing of one-particle states eliminates the reasons for the appearance of the Unruh noise and, simultaneously, leads to imaginary entanglement due to overlapping of these states.