Some properties of multi-qubit systems under effect of the Lorentz transformation

Abstract

Effect of Lorentz transformation on some properties of multi-qubit systems is investigated. It is shown that, properties like, the fidelity and entanglement decay as the Wigner's angles increase, but can be improved, if all the transformed particles are transformed with the same Wigner's angles. The upper bounds of the average capacity of the GHZ state increases while it decreases and more robust with the W-state as the Wigner's angle of the observer decreases. Under Lorentz transformation, the tripartite states transform into another equivalent states and hence no change on the efficiency of these states to perform quantum information tasks.