Spin squeezing inequalities and entanglement of $N$ qubit states

Abstract

We derive spin squeezing inequalities that generalize the concept of the spin squeezing parameter and provide necessary and sufficient conditions for genuine 2-, or 3- qubit entanglement for symmetric states, and sufficient condition for general states of $N$ qubits. Our inequalities have a clear physical interpretation as entanglement witnesses, can be relatively easy measured, and are given by complex, but {\it elementary} expressions.

formula (24) corrected, minor changes, final version

References in corpus (2)

• Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
• Hilbert's 17th problem and the quantumness of states

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