Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables
Abstract
The entanglement produced by a bilinear Hamiltonian in continuous variables has been thoroughly studied and widely used. In contrast, the physics of entanglement resulting from nonlinear interaction described by partially degenerate high-order Hamiltonians remains unclear. Here, we derive a hierarchy of sufficient and necessary conditions for the positive-partial-transposition separability of bipartite nonlinear quantum states. The proposed criteria detect the nonpositive-partial-transposition inseparability of higher-order moments of states, which provides a systematic framework for the characterization of this kind of entanglement. Through numerical simulation of cubic and quartic Hamiltonians, we demonstrate the existence and competition of a hierarchy of entanglement witnesses, revealing the mechanism underlying such entanglement. Our results may provide a new direction in continuous variable quantum information processing.
Cite
@article{arxiv.2111.05169,
title = {Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables},
author = {Da Zhang and David Barral and Yin Cai and Yanpeng Zhang and Min Xiao and Kamel Bencheikh},
journal= {arXiv preprint arXiv:2111.05169},
year = {2021}
}
Comments
6 pages, 2 figures