Constraints on correlations in multiqubit systems
Constraints on correlations in multiqubit systems
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DOI：
10.1103/physreva.97.060101
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发表时间：
2017-10
影响因子：
2.9
通讯作者：
Nikolai Wyderka;Felix Huber;O. Guhne
中科院分区：
文献类型：
--
作者：
Nikolai Wyderka;Felix Huber;O. Guhne
多体量子系统中粒子之间的关联集比经典系统中的关联集要大。然而，它受到基本量子理论的限制。为了更好地理解这个集合的结构，一种可能的策略是将所有的关联分成两个部分，这取决于它们涉及的粒子是奇数还是偶数。对于纯多量子比特态，我们证明了这两个分量是密不可分地交织在一起的，并且通常一种关联完全决定了另一种关联。作为应用，我们证明了在所有混合态中，所有具有奇数个量子比特的纯量子比特态都是由关联的奇分量唯一确定的。此外，我们的方法在哈密顿量只包含奇关联的情况下得到了时间演化下的不变量，并且可以简化纠缠检测。
The set of correlations between particles in multipartite quantum systems is larger than those in classical systems. Nevertheless, it is subject to restrictions by the underlying quantum theory. In order to better understand the structure of this set, a possible strategy is to divide all correlations into two components, depending on the question of whether they involve an odd or an even number of particles. For pure multiqubit states we prove that these two components are inextricably interwoven and often one type of correlations completely determines the other. As an application, we prove that all pure qubit states with an odd number of qubits are uniquely determined among all mixed states by the odd component of the correlations. In addition, our approach leads to invariants under the time evolution with Hamiltonians containing only odd correlations and can simplify entanglement detection.