Characterizing multipartite symmetric Dicke states under the effects of noise

Abstract

We study genuine multipartite entanglement (GME) in a system of $n$ qubits prepared in symmetric Dicke states and subjected to the influences of noise. We provide general, setup-independent expressions for experimentally favorable tools such as fidelity- and collective spin-based entanglement witnesses, as well as entangled-class discriminators and multi-point correlation functions. Besides highlighting the effects of the environment on large qubit registers, we also discuss strategies for the robust detection of GME. Our work provides techniques and results for the experimental communities interested in investigating and characterizing multipartite entangled states by introducing realistic milestones for setup design and associated predictions.

11 pages, 9 figures, RevTeX4 Revised version. Accepted for publication in New Journal of Physics

References in corpus (21)

• Quantum entanglement
• Entanglement detection
• Scalable multi-particle entanglement of trapped ions
• Multi-party entanglement in graph states
• High-speed linear optics quantum computing using active feed-forward
• Experimental Analysis of a 4-Qubit Cluster State
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Optimal spin squeezing inequalities detect bound entanglement in spin models
• Spin squeezing and entanglement
• Toolbox for entanglement detection and fidelity estimation
• Inductive Entanglement Classification of Four Qubits under SLOCC
• Entanglement entropy in collective models
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Hamiltonian tomography in an access-limited setting without state initialization
• Generation of Symmetric Dicke States of Remote Qubits with Linear Optics
• Concurrence in collective models
• Operational determination of multi-qubit entanglement classes via tuning of local operations
• Measurement-based Synthesis of multi-qubit Entangled States in Superconducting Cavity QED
• Discriminating multi-partite entangled states
• Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements
• Selective Control of the Symmetric Dicke Subspace in Trapped Ions

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• Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics
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• Optimal quantum control via genetic algorithms for quantum state engineering in driven-resonator mediated networks
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• Efficient detection of inhomogeneous magnetic fields from a single spin with Dicke states
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• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Deformations of the symmetric subspace of qubit chains
• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation