Inhibition of spread of typical bipartite and genuine multiparty entanglement in response to disorder
George Biswas, Anindya Biswas, Ujjwal Sen
备注：
13 pages, 11 figures. This version is close to the published version, except that here, the disorder in the "second step" is inserted in the relevant state parameter/s after normalization of the state in the "first step". Primary results unchanged
The distribution of entanglement of typical multiparty quantum states is not uniform over the range of the measure utilized for quantifying the entanglement. We intend to find the response to disorder in the state parameters on this non-uniformity for typical states. We find that the typical entanglement, averaged over the disorder, is taken farther away from uniformity, as quantified by decreased standard deviation, in comparison to the clean case. The feature is seemingly generic, as we see it for Gaussian and non-Gaussian disorder distributions, for varying strengths of the disorder, and for disorder insertions in one and several state parameters. The non-Gaussian distributions considered are uniform and Cauchy-Lorentz. Two- and three-qubit pure state Haar-uniform generations are considered for the typical state productions. We also consider noisy versions of the initial states produced in the Haar-uniform generations. A genuine multiparty entanglement monotone is considered for the three-qubit case, while concurrence is used to measure two-qubit entanglement.
Network-Irreducible Multiparty Entanglement in Quantum Matter
Université de Montréal（蒙特利尔大学）；Institut Courtois, Université de Montréal（库托瓦研究所，蒙特利尔大学）；Centre de Recherches Mathématiques, Université de Montréal（数学研究中心，蒙特利尔大学）；Perimeter Institute for Theoretical Physics（理论物理珀蒂默研究所）；Institute for Quantum Computing, University of Waterloo（量子计算研究所，滑铁卢大学）
Taming multiparty entanglement at measurement-induced phase transitions
Université de Montréal（蒙特利尔大学）；Institut Courtois, Université de Montréal（库瓦蒂埃研究所，蒙特利尔大学）；Centre de Recherches Mathématiques, Université de Montréal（蒙特利尔大学数学研究中心）；Department of Physics and Astronomy, University of Waterloo（滑铁卢大学物理与天文学系）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）
Reply to Comment on "Regional Versus Global Entanglement in Resonating-Valence-Bond States"
In Phys. Rev. Lett. 99，170502（2007）（arXiv：quant-ph/0703227），我们证明了任意晶格上的共振价键（RVB）态具有真正的多方纠缠，并提供了两粒子纠缠（和纠缠子）的界限。我们还推测了整个晶格中大部分和小部分的纠缠。的证明，约束，并猜测不认为在评论物理。101，248901（2008）（arXiv：0812.1932v1 [quant-ph]）。下面我们举两个例子：“RVB气体”和“RVB液体”。评论中没有考虑任意晶格尺寸的RVB液体。本文用一种独立的方法导出了较大晶格尺寸下RVB气体的两方纠缠，与我们的结果一致。评论中没有考虑RVB气体的多方纠缠。最后，我们考虑了一个4x 4正方形晶格上的RVB液体，在计算两方纠缠时出现了一个小数点后第二位的错误，正如评论中所指出的那样。请注意，在我们的信中没有使用这种计算来推导其他结果。此外，对于4 × 4正方晶格上的RVB液体，“没有两粒子纠缠”的结论仍然成立。
