复合量子态的关联容量
Correlative Capacity of Composite Quantum States
摘要:
我们刻画了纠缠态、可分态和经典关联态的最佳关联容量。在优控制理论中引入下确界和上确界的概念,构造了与一组边缘相容的最小无序可分态。多量子位纯态边缘所支持的最大可分离相关信息被证明是LOCC单调的。对于上述类别,发现一对量子比特的最小无序组合,经典相关状态定义为边际基乘积中的对角。
英文摘要:
We characterize the optimal correlative capacity of entangled, separable, and classically correlated states. Introducing the notions of the infimum and supremum within majorization theory, we construct the least disordered separable state compatible with a set of marginals. The maximum separable correlation information supportable by the marginals of a multi-qubit pure state is shown to be an LOCC monotone. The least disordered composite of a pair of qubits is found for the above classes, with classically correlated states defined as diagonal in the product of marginal bases.
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