Diverse Entanglement Mechanisms in Multimode Nonlinear Continuous Variables

• URL: http://arxiv.org/abs/2312.01545v1
• Date: Mon, 4 Dec 2023 00:20:43 GMT
• Title: Diverse Entanglement Mechanisms in Multimode Nonlinear Continuous Variables
• Authors: Da Zhang, David Barral, Yanpeng Zhang, and Kamel Bencheikh
• Abstract summary: Non-Gaussian entangled states play a crucial role in harnessing quantum advantage in quantum information. How to fully characterize N-partite (N > 3) non-Gaussian entanglement without quantum state tomography remains elusive. Here, we propose several necessary and sufficient conditions for the positive-partial-transposition separability of multimode nonlinear quantum states.
• Score: 0.5181355744034635
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Gaussian entangled states play a crucial role in harnessing quantum advantage in continuous-variable quantum information. However, how to fully characterize N-partite (N > 3) non-Gaussian entanglement without quantum state tomography remains elusive, leading to a very limited understanding of the underlying entanglement mechanism. Here, we propose several necessary and sufficient conditions for the positive-partial-transposition separability of multimode nonlinear quantum states resulting from high-order Hamiltonians and successive beam splitting operations. When applied to the initial state, the beam-splitter operations induce the emergence of different types of entanglement mechanisms, including pairwise high-order entanglement, collective high-order entanglement and the crossover between the two. We show numerically that for the four-mode scenario, the threshold for the existence of entanglement for any bipartition does not exceed the entanglement of the original state at fixed high-order moments. These results provide a new perspective for understanding multipartite nonlinear entanglement and will promote their application in quantum information processing.

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