We propose a Procrustean entanglement concentration scheme for continuous variable states inspired by the scheme proposed in [J. Fiuràšek et. al., Phys. Rev. A 67, 022304 (2003)]. We show that the eight-port homodyne measurement of [J. Fiuràšek et. al., Phys. Rev. A 67, 022304 (2003)] can be replaced by a balanced homodyne measurement with the advantage of providing a success criterion that allows Alice and Bob to determine if entanglement concentration was achieved. In addition, it facilitates a straightforward experimental implementation.
We demonstrate a general weak measurement model which allows Gaussian preserving entanglement concentration of the two mode squeezed vacuum. The power of this simple and elegant protocol is through the constraints it places on possible ancilla states and measurement strategies that will allow entanglement concentration. In particular, it is shown how previously discovered protocols of this kind emerge as special examples of the general model described here. Finally, as evidence of its utility, we use it to provide another novel example of such a protocol.
Encoding the imaginary part of a weak value onto an initially entangled probe can modify its entanglement content -provided the probe observable can distinguish between states of different entropies. Apart from fundamental interest, this result illustrates the utility of the imaginary weak value as a calculational tool in certain entanglement concentration protocols.
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