Characterizing the multipartite continuous-variable entanglement structure from squeezing coefficients and the Fisher information

Abstract

Understanding the distribution of quantum entanglement over many parties is a fundamental challenge of quantum physics and is of practical relevance for several applications in the field of quantum information. Here we use methods from quantum metrology to microscopically characterize the entanglement structure of multimode continuous-variable states in all possible multi-partitions and in all reduced distributions. From experimentally measured covariance matrices of Gaussian states with 2, 3, and 4 photonic modes with controllable losses, we extract the metrological sensitivity as well as an upper separability bound for each partition. An entanglement witness is constructed by comparing the two quantities. Our analysis demonstrates the usefulness of these methods for continuous-variable systems and provides a detailed geometric understanding of the robustness of cluster-state entanglement under photon losses.

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• k-stretchability of entanglement, and the duality of k-separability and k-producibility
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• Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
• Relating spin squeezing to multipartite entanglement criteria for particles and modes
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• Generalized Measure of Quantum Fisher Information
• Manipulation of Multimode Squeezing in a Coupled Waveguide Array
• Quantum metrology with a continuous-variable system
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• General class of continuous variable entanglement criteria
• Production of genuine multimode entanglement in circular waveguides with long-range interactions
• Accessing continuous-variable entanglement witnesses with multimode spin observables
• Entanglement of Local Hidden States
• Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
• Quantifying multipartite quantum states by ($k+1$)-partite entanglement measures
• Enhancement of the metrological sensitivity limit through knowledge of the average energy
• Complete $k$-partite entanglement measure
• Detecting strongly non-Gaussian entanglement