Monogamy equalities for qubit entanglement from Lorentz invariance

TL;DR

This paper reveals that strict monogamy laws for quantum entanglement exist universally in many-qubit systems, derived from a symmetry connection between quantum mechanics and Minkowski space, extending beyond known three-qubit cases.

Contribution

It establishes the existence of universal monogamy relations for qubits based on Lorentz invariance, providing a new symmetry-based perspective and methods to construct such equalities.

Findings

Existence of strict monogamy laws in all many-qubit systems.

Connection between quantum entanglement monogamy and Minkowski space symmetry.

Methods to construct new entanglement monogamy equalities.

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 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.