Entanglement criteria for Dicke states

Abstract

Dicke states are a family of multi-qubit quantum states with interesting entanglement properties and have been observed in many experiments. We construct entanglement witnesses for detecting genuine multiparticle entanglement in the vicinity of these states. We use the approach of PPT mixtures to derive the conditions analytically. For nearly all cases, our criteria are stronger than all conditions previously known.

18 pages, 4 figures; updated to match published version

References in corpus (12)

• Entanglement detection
• Scalable multi-particle entanglement of trapped ions
• Taming multiparticle entanglement
• Experimental entanglement of a six-photon symmetric Dicke state
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Permutationally invariant quantum tomography
• Bell Inequalities for Graph States
• One-and-a-half quantum de Finetti theorems
• Toolbox for entanglement detection and fidelity estimation
• Multiparticle entanglement under the influence of decoherence
• Permutationally invariant state reconstruction
• Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states

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• Harvesting Multiqubit Entanglement from Ultrastrong Interactions in Circuit Quantum Electrodynamics
• Long-range multipartite entanglement close to a first order quantum phase transition
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• Generalized Weyl-Heisenberg algebra, qudit systems and entanglement measure of symmetric states via spin coherent states
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• Partial Transpose Moments, Principal Minors and Entanglement Detection
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
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• On the non-$k$-separability of Dicke class of states and $N$-qudit W states
• Detection of entanglement via moments of positive maps
• Dicke subsystems are entangled
• Recovery of resources through sequential noisy measurements
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Optimizing quantum codes with an application to the loss channel with partial erasure information
• Experimental measurement and a physical interpretation of quantum shadow enumerators
• Entanglement in the Dicke subspace
• Harnessing subspace controllability: Dynamical generation of Dicke states in Heisenberg-coupled qubit arrays with a single local control
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