Physics – Quantum Physics
Scientific paper
2003-02-03
Phys. Rev. A 68, 012101 (2003).
Physics
Quantum Physics
6 pages. Version 3: Small corrections were made
Scientific paper
10.1103/PhysRevA.68.012101
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 counter-twisting 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.
Sanders Barry C.
Wang Xiaoguang
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