Some Properties of Multi-qubit Systems Under the Effect of Lorentz Transformations
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The Effect of Lorentz transformation on some properties of multi-qubit systems is investigated. It is shown that, 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 Greenberger-Horne-Zeilinger (GHZ) state increase while it decrease for W-state as the Wigner’s angle of the observer decreases. Under Lorentz transformation, the tripartite states are transformed into another equivalent states and hence no change on the efficiency of these states to perform quantum information tasks.
KeywordsLorentz transformation Multi-qubits Entanglement Fidelity Capacity
I am grateful to the referees for their constructive comments and remarks, which have improved the manuscript in many aspects.