Characterization of entanglement in multiqubit systems via spin squeezing

2008/09/30 by M. S. Uma, Uma, M. S.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0809.5147

Ph.D. thesis (127 pages, 2 figures, Latex), Bangalore University, India. Advisor: A. R. Usha Devi. The main results are also available in arXiv:quant-ph/0509015, arXiv:quant-ph/0509056 and arXiv:quant-ph/0601035

openalex publication_date 2008/09/30 · arxiv created 2009/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum entanglement reflects itself through non-local correlations among the subsystems of a quantum system. This thesis focuses on constructing a complete set of local invariants characterizing symmetric two qubit systems and analyzing the pairwise entanglement properties like collective spin squeezing - exhibited by multiqubits - in terms of two qubit entanglement invariants. Further, the collective pairwise entanglement properties of symmetric multiqubit states are shown to be captured entirely by the off diagonal block of the covariance matrix.

Citations

• Non-local properties of a symmetric two-qubit system
• Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System
• Constraints on the uncertainties of entangled symmetric qubits

Related

• Spin Squeezing Criterion with Local Unitary Invariance
• Spin Squeezing and Quantum Correlations
• Multi-Faced Entanglement
• The entanglement criterion of multiqubits
• Entanglement versus Correlations in Spin Systems