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Efficient production of $W$ states from imperfect bipartite sources

George Moreno, Márcio M. Cunha, Fernando Parisio

Published Sep 28, 2015• 0 citations
OpenAlex

Abstract

Previous proposals to produce tripartite $W$-type entanglement are usually probabilistic and often based on physically unlikely events. We provide a deterministic procedure to remotely create $W$ states out of an EPR source, which is easier to produce. The proposal is made viable through measurements (which can be demolitive) in an appropriate three-qubit basis and turns out to be robust against imperfections in the bipartite source. It is possible, e. g., to create a pure ensemble of $W$ states out of an EPR source containing a systematic error. This simultaneously amounts to entanglement concentration and {\it lifting}.

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Previous proposals to produce tripartite WWW-type entanglement are usually probabilistic and often based on physically unlikely events. We provide a deterministic procedure to remotely create WWW states out of an EPR source, which is easier to produce. The proposal is made viable through measurements (which can be demolitive) in an appropriate three-qubit basis and turns out to be robust against imperfections in the bipartite source. It is possible, e. g., to create a pure ensemble of WWW states out of an EPR source containing a systematic error. This simultaneously amounts to entanglement concentration and {\it lifting}.
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We present a powerful theorem for tripartite remote entanglement distribution protocols, which provides an operational interpretation of concurrence as a type of entanglement capacity, and we establish that concurrence of assistance, which we show is an entanglement monotone, identifies capabilities of and limitations to producing pure bipartite entangled states from pure tripartite entangled states. In addition, we show that, if concurrence of assistance for the pure tripartite state is at least as large as the concurrence of the desired pure bipartite state, then the former may be transformed to the latter via local operations and classical communication, and we calculate the maximum probability for this transformation when this condition is not met.PACS Nos.: 03.67.Mn, 03.67.Hk, 03.65.Ud