无最大秩态中的不可约多粒子关联
Irreducible multi-particle correlations in states without maximal rank
摘要：
在$n$量子粒子系统中，关联被分为一系列不可约的$k$ -粒子关联（$2\le k\le n$），其中不可约的$k$ -粒子关联是出现在$k$粒子态中而不存在于$k-1$粒子态中的关联.基于最大熵构造定义了一种不可约$k$ -粒子关联度的度量。采用连续性方法，克服了计算无最大秩的多粒子态的不可约关联度的困难。特别地，我们得到了$n$ -量子比特稳定态和$n$ -量子比特广义GHZ态的不可约多粒子关联度，揭示了多粒子关联在这些态中的分布.
英文摘要：
In a system of $n$ quantum particles, the correlations are classified into a series of irreducible $k$-particle correlations ($2\le k\le n$), where the irreducible $k$-particle correlation is the correlation appearing in the states of $k$ particles but not existing in the states of $k-1$ particles. A measure of the degree of irreducible $k$-particle correlation is defined based on the maximal entropy construction. By adopting a continuity approach, we overcome the difficulties in calculating the degrees of irreducible multi-particle correlations for the multi-particle states without maximal rank. In particular, we obtain the degrees of irreducible multi-particle correlations in the $n$-qubit stabilizer states and the $n$-qubit generalized GHZ states, which reveals the distribution of multi-particle correlations in these states.
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