2008/06/30 by Geza Toth, G. Tóth, Christian Knapp +2 · 5 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.other #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.79.042334
published as Phys. Rev. A 79, 042334 (2009) · 13 pages including 6 figures and 2 tables, revtex4; v3: published version
openalex publication_date 2009/04/27 · arxiv created 2009/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
What is the relation between spin squeezing and entanglement? To clarify this, we derive the full set of generalized-spin-squeezing inequalities for the detection of entanglement. These are inequalities for the mean values and variances of the collective angular-momentum components Jk. They can be used for the experimental detection of entanglement in a system of spin-(1)/(2) particles in which the spins cannot be individually addressed. We present various sets of inequalities that can detect all entangled states that can be detected based on the knowledge of (i) the mean values and variances of Jk in three orthogonal directions, or (ii) the variances of Jk in three orthogonal directions, or (iii) the mean values of Jk2 in three orthogonal directions, or (iv) the mean values and variances of Jk in arbitrary directions. We compare our inequalities to known spin-squeezing entanglement criteria and discuss to which extent spin squeezing is related to entanglement in the reduced two-qubit states. Finally, we apply our criteria for the detection of entanglement in spin models, showing that they can be used to detect bound entanglement in these systems.