  Quantum entanglements are of fundamental importance in quantum physics
ranging from the quantum information processing to the physics of black hole.
Here, we show that the quantum entanglement is not invariant in special
relativity. This suggests that nearly all aspects of quantum information
processing would be affected significantly when relativistic effects are
considered because present schemes are based on the general assumption that
entanglement is invariant. There should be additional protocols to compensate
the variances of entanglement in in quantum information processing.
Furthermore, extending our results to general relativity may provide clues to
the fate of the information contained in an entangled Hawking pair inside and
outside the event horizon as black hole evaporates.
