Multipartite entanglement detection with minimal effort

Abstract

Certifying entanglement of a multipartite state is generally considered as a demanding task. Since an $N$ qubit state is parametrized by $4^N-1$ real numbers, one might naively expect that the measurement effort of generic entanglement detection also scales exponentially with $N$. Here, we introduce a general scheme to construct efficient witnesses requiring a constant number of measurements independent of the number of qubits for states like, e.g., Greenberger-Horne-Zeilinger states, cluster states and Dicke states. For four qubits, we apply this novel method to experimental realizations of the aforementioned states and prove genuine four-partite entanglement with two measurement settings only.

11 pages, 5 figures, 6 tables. Comments are welcome

References in corpus (14)

• Entanglement detection
• Efficient quantum state tomography
• Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Experimental Analysis of a 4-Qubit Cluster State
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Permutationally invariant quantum tomography
• Permutationally invariant state reconstruction
• Multi-path entanglement of two photons
• Experimental observation of an entire family of four-photon entangled states
• Enhancing the Violation of the Einstein-Podolsky-Rosen Local Realism by Quantum Hyper-entanglement
• Resource-efficient measurement device independent entanglement witness
• Genuine Multipartite Entanglement without Multipartite Correlations
• Entanglement witness via symmetric two-body correlations

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• Entanglement Structure: Entanglement Partitioning in Multipartite Systems and Its Experimental Detection Using Optimizable Witnesses
• Towards the standardization of quantum state verification using optimal strategies
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering
• Analysing quantum systems with randomised measurements
• Optimization of device-independent witnesses of entanglement depth from two-body correlators
• Quantum verification and estimation with few copies
• Fidelity measurement of a multiqubit cluster state with minimal effort
• A scheme to create and verify scalable entanglement in optical lattice
• Efficient and robust detection of multipartite Greenberger-Horne-Zeilinger-like states
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• A Moment for Random Measurements
• Driving many distant atoms into high-fidelity steady state entanglement via Lyapunov control
• Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Valid and efficient entanglement verification with finite copies of a quantum state
• Experimental optimal verification of three-dimensional entanglement on a silicon chip
• Inherent quantum resources in stationary spin chains
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Many-Body Entanglement in Solid-State Emitters
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing
• Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions
• Cooperation and dependencies in multipartite systems