Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states

2009/03/31 by Geza Toth, Géza Tóth, Witlef Wieczorek +4 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1088/1367-2630/11/8/083002

published as New J. Phys. 11, 083002 (2009) · 13 pages including 4 figures, revtex4

openalex publication_date 2009/08/04 · arxiv created 2009/08/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We present general numerical methods to construct witness operators for entanglement detection and estimation of the fidelity. Our methods are applied to detecting entanglement in the vicinity of a six-qubit Dicke state with three excitations and also to further entangled symmetric states. All our witnesses are designed to keep the measurement effort small. We also present general results on the efficient local decomposition of permutationally invariant operators, which makes it possible to measure projectors to symmetric states efficiently.

Citations

• Distinguishing Separable and Entangled States
• Characterizing the entanglement of symmetric many-particle spin-12systems
• Complete family of separability criteria
• Separability Criterion for Density Matrices
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Generation of Symmetric Dicke States of Remote Qubits with Linear Optics
• Scalable multi-particle entanglement of trapped ions
• Multiqubit entanglement engineering via projective measurements
• Quantum entanglement
• Entanglement detection

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• Hierarchical quantum-information splitting