Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables
- URL: http://arxiv.org/abs/2111.05169v1
- Date: Tue, 9 Nov 2021 14:28:54 GMT
- Title: Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables
- Authors: Da Zhang, David Barral, Yin Cai, Yanpeng Zhang, Min Xiao, and Kamel
Bencheikh
- Abstract summary: entanglement resulting from nonlinear interaction described by partially degenerate high-order Hamiltonians remains unclear.
We propose a hierarchy of sufficient and necessary conditions for the positive-partial-transposition separability of bipartite nonlinear quantum states.
Our results may provide a new direction in continuous variable quantum information processing.
- Score: 2.8121646967512985
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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