On the partial transpose of fermionic Gaussian states
On the partial transpose of fermionic Gaussian states
复制标题
关于费米子高斯态的部分转置
DOI：
10.1088/1367-2630/17/5/053048
复制
发表时间：
2015
影响因子：
3.3
通讯作者：
Z. Zimborás
中科院分区：
文献类型：
--
作者：
V. Eisler;Z. Zimborás
考虑费米子系统的高斯态，研究了部分转置对密度矩阵的作用。它示出，与一个合适的选择的基础，这些状态被转换成一个线性组合的两个高斯算子是唯一定义的原始状态的协方差矩阵。在反射对称几何的情况下，这个结果可以用来有效地计算一个众所周知的纠缠度量的下限，对数负性。此外，精确的表达式可以推导出涉及整数幂的部分转置的迹。该方法也可以应用于量子伊辛链，结果表明与共形场论的预测完全一致。
We consider Gaussian states of fermionic systems and study the action of the partial transposition on the density matrix. It is shown that, with a suitable choice of basis, these states are transformed into a linear combination of two Gaussian operators that are uniquely defined in terms of the covariance matrix of the original state. In case of a reflection symmetric geometry, this result can be used to efficiently calculate a lower bound for a well-known entanglement measure, the logarithmic negativity. Furthermore, exact expressions can be derived for traces involving integer powers of the partial transpose. The method can also be applied to the quantum Ising chain and the results show perfect agreement with the predictions of conformal field theory.
影响因子：
2.8
作者：
Hoogeveen M
通讯作者：
Hoogeveen M
影响因子：
2.9
作者：
S. Marcovitch;A. Retzker;M. Plenio;B. Reznik
通讯作者：
S. Marcovitch;A. Retzker;M. Plenio;B. Reznik