Spin–spin entanglement in moving frames: Properties of negativity

S. Rastgoo, Mohammad Mehdi Golshan

Shahpoor Moradi

Rosario Fazio, Chiara Macchiavello

Robert M. Gingrich, Christoph Adami

We study the properties of quantum entanglement in moving frames, and show that, because spin and momentum become mixed when viewed by a moving observer, the entanglement between the spins of a pair of particles is not invariant. We give an example of a pair, fully spin entangled in the rest frame, which has its spin entanglement reduced in all other frames. Similarly, we show that there are pairs whose spin entanglement increases from zero to maximal entanglement when boosted. While spin and momentum entanglement separately are not Lorentz invariant, the joint entanglement of the wave function is.

Jinbo Fan, Xinfei Li

We study the properties of entanglement entropy among scattering particles as observed from different inertial moving frames, based on an exemplary QED process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$. By the explicit calculation of the Wigner rotation, the entanglement entropy of scattering particles is found to be Lorentz invariant. We also study the behavior of the entanglement between spin degrees of freedom for scattering particles in moving frames. This quantity, being found to change with different inertial reference frames, does not exhibit as a Lorentz invariant.

Viktor Eisler