Spin squeezing and pairwise entanglement for symmetric multiqubit states

Xiaoguang Wang, Barry C. Sanders

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150 Citations (Scopus)
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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.

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