Entanglement amplification via local weak measurements

We propose a measurement-based method to produce a maximally-entangled state from a partially-entangled pure state. Our goal can be thought of as entanglement distillation from a single copy of a partially-entangled state. The present approach involves local two-outcome weak measurements. We show th...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-10, Vol.45 (41), p.415303-13
Hauptverfasser: Ota, Yukihiro, Ashhab, Sahel, Nori, Franco
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Ashhab, Sahel
Nori, Franco
description We propose a measurement-based method to produce a maximally-entangled state from a partially-entangled pure state. Our goal can be thought of as entanglement distillation from a single copy of a partially-entangled state. The present approach involves local two-outcome weak measurements. We show that the application of these local weak measurements leads to a probabilistic amplification of entanglement. In addition, we examine how the probability to find the maximally-entangled state is related to the entanglement of the input state. We also study the application of our method to a mixed initial state. We show that the protocol is successful if the separable part of the mixed initial state fulfils certain conditions.
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subjects Amplification
Distillation
Entanglement
Exact sciences and technology
Mathematical analysis
Physics
Probabilistic methods
Probability theory
Reproduction
title Entanglement amplification via local weak measurements
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