Abstract
We demonstrate a method for the optimal purification of the asymmetric state, the symmetric state and the state from partially entangled pure states using two-outcome weak measurements. We obtain two different final states by setting different measurement strengths for the same initial state. The total success probability is related to the initial pure state parameters. We also show that the entanglement amplification can be achieved both for mixed state and mixed state by applying this local weak measurements. The approach requires a small cost because a lot of copies and two-body or multibody measurements are not needed.
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