Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 43: Quantum Information: Concepts and Methods VI
Q 43.6: Talk
Wednesday, March 25, 2015, 15:45–16:00, K/HS1
Monogamy equalities for qubit entanglement from Lorentz invariance — •Christopher Eltschka1 and Jens Siewert2,3 — 1Universität Regensburg, Regensburg, Germany — 2Universidad del País Vasco - Euskal Herriko Unibertsitatea, Bilbao, Spain — 3IKERBASQUE, Basque Foundation for Science, Bilbao, Spain
A striking result from nonrelativistic quantum mechanics is the monogamy of entanglement, which states that a particle can be maximally entangled only with one other party, not with several ones. While there is the exact quantitative relation for three qubits and also several inequalities describing monogamy properties it is not clear to what extent exact monogamy relations are a general feature of quantum mechanics. We prove that in all many-qubit systems there exist strict monogamy laws for quantum correlations. They come about through the curious relation between the nonrelativistic quantum mechanics of qubits and Minkowski space. We elucidate the origin of entanglement monogamy from this symmetry perspective and provide recipes to construct new families of such equalities.