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The last two decades have witnessed an increasing effort of the scientificcommunity toward pursuing a better framework for quantum resource covariance,with the focus predominantly posed on quantum entanglement. In this work, wemove the discussion one step further by analyzing the behavior of both genuinemultipartite entanglement and quantum coherence under Lorentz boosts.Specifically, we conduct a case study for the problem of an electron-positronpair created in a superposed multipartite pure state. Our approach is differentfrom the standard treatments also in that we consider all the components of thefour-momentum, thus allowing for an inspection of scenarios whereinentanglement can be encoded among these degrees of freedom as well. Ouranalysis reveals interesting subtleties in this problem, like the fact thatgenuine 4-partite entanglement in the lab frame transforms into genuine8-partite entanglement plus quantum coherence in the perspective of theLorentz-boosted frame. Moreover, a given combination of these quantum resourcesis shown to form a Lorentz invariant. Although our findings are not able todetermine, via first principles, an information-theoretic Lorentz invariant,they pave the way for fundamental incursions along this line.

Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance