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Monogamy Equalities for Qubit Entanglement from Lorentz Invariance

2014/07/30 by Christopher Eltschka, Jens Siewert · 2 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physrevlett.114.140402

published as Phys. Rev. Lett. 114, 140402 (2015) · 4 pages, 3 figures

arxiv created 2014/07/30 · openalex publication_date 2015/04/07 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 relationship 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.

Citations

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