For questions about entanglement witnesses: observables whose negative expectation value certifies the entanglement of measured states
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Is purity an entanglement witness?
Suppose an n-qubit mixed state $\rho$
with subsystems $a_1, a_2,..., a_n$
If purity of an arbitrary qubit $a_i$ is 1, then can i conclude its separatable from the entire system?

reza
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