Eltschka Christopher, Siewert Jens
Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.
Departamento de Química Física, Universidad del País Vasco-Euskal Herriko Unibertsitatea, 48080 Bilbao, Spain and IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain.
Phys Rev Lett. 2015 Apr 10;114(14):140402. doi: 10.1103/PhysRevLett.114.140402. Epub 2015 Apr 7.
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.
非相对论量子力学的一个显著结果是纠缠的一夫一妻制，即一个粒子只能与另一个粒子最大程度地纠缠，而不能与多个粒子。虽然对于三个量子比特存在精确的定量关系，也有几个描述一夫一妻制性质的不等式，但目前尚不清楚精确的一夫一妻制关系在多大程度上是量子力学的普遍特征。我们证明，在所有多量子比特系统中，量子关联都存在严格的一夫一妻制规律。它们是通过量子比特的非相对论量子力学与闵可夫斯基空间之间的奇特关系产生的。我们从这种对称性的角度阐明了纠缠一夫一妻制的起源，并提供了构建此类等式新系列的方法。
