Bosonic Gaussian channel and Gaussian witness entanglement criterion of continuous variables Article Swipe

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Xiaoyu Chen , Maoke Miao , Rui Yin , Jiantao Yuan ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1103/physrevresearch.5.033066

We use quantum entanglement witnesses derived from Gaussian operators to study the separable criteria of continuous variable states. For bipartite system, we transform the validity of a Gaussian witness to a bosonic Gaussian channel problem. It follows that the maximal means of two-mode and some four-mode Gaussian operators over product pure states are achieved by vacuum (or coherent states and squeezed states) according to the properties of bosonic Gaussian channels. We demonstrate necessary and sufficient criteria of separability for two-mode and some four-mode Gaussian quantum states. We also propose multipartite Gaussian witnesses based on numeric evidence. The entanglement and multipartite entanglement detecting powers of the Gaussian witness criteria are illustrated by the mixture of two Gaussian states. We apply the Gaussian witness criterion to a Gaussian Fock state, which is prepared by passing a product Fock state through bosonic Gaussian channel. We show that the necessary criterion of separability for a Gaussian Fock state does not rely on the initial product Fock state, it relies on the channel.

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Gaussian Quantum entanglement Entanglement witness Gaussian random field Multipartite entanglement Statistical physics Peres–Horodecki criterion Fock space Multipartite State (computer science) Bipartite graph Mathematics Squashed entanglement Quantum mechanics Gaussian function Physics Quantum Discrete mathematics Algorithm Graph

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Type: article
Language: en
Landing Page: https://doi.org/10.1103/physrevresearch.5.033066
PDF: http://link.aps.org/pdf/10.1103/PhysRevResearch.5.033066
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DOI: https://doi.org/10.1103/physrevresearch.5.033066

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Title: Bosonic Gaussian channel and Gaussian witness entanglement criterion of continuous variables

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Publication year: 2023

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Publication date: 2023-07-31

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Authors: Xiaoyu Chen, Maoke Miao, Rui Yin, Jiantao Yuan

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Concepts: Gaussian, Quantum entanglement, Entanglement witness, Gaussian random field, Multipartite entanglement, Statistical physics, Peres–Horodecki criterion, Fock space, Multipartite, State (computer science), Bipartite graph, Mathematics, Squashed entanglement, Quantum mechanics, Gaussian function, Physics, Quantum, Discrete mathematics, Algorithm, Graph

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