Spin squeezing and pairwise entanglement for symmetric multiqubit states

Xiaoguang Wang, Barry C. Sanders

    Research output: Contribution to journalArticlepeer-review

    163 Citations (Scopus)
    84 Downloads (Pure)

    Abstract

    We show that spin squeezing implies pairwise entanglement for arbitrary symmetric multiqubit states. If the squeezing parameter is less than or equal to 1, we demonstrate a quantitative relation between the squeezing parameter and the concurrence for the even and odd states. We prove that the even states generated from the initial state with all qubits being spin down, via the one-axis twisting Hamiltonian, are spin squeezed if and only if they are pairwise entangled. For the states generated via the one-axis twisting Hamiltonian with an external transverse field for any number of qubits greater than 1 or via the two-axis countertwisting Hamiltonian for any even number of qubits, the numerical results suggest that such states are spin squeezed if and only if they are pairwise entangled.
    Original languageEnglish
    Pages (from-to)012101-1-012101-6
    Number of pages6
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume68
    Issue number1
    DOIs
    Publication statusPublished - 2003

    Bibliographical note

    Copyright 2003 by The American Physical Society. Reprinted from Physical review A.

    Fingerprint

    Dive into the research topics of 'Spin squeezing and pairwise entanglement for symmetric multiqubit states'. Together they form a unique fingerprint.

    Cite this