Optimizing practical entanglement distillation

Filip Rozpȩdek, Thomas Schiet, Le Phuc Thinh, David Elkouss, Andrew C. Doherty, Stephanie Wehner

Research output: Contribution to journalArticleScientificpeer-review

24 Citations (Scopus)
45 Downloads (Pure)

Abstract

The goal of entanglement distillation is to turn a large number of weakly entangled states into a smaller number of highly entangled ones. Practical entanglement distillation schemes offer a trade-off between the fidelity to the target state and the probability of successful distillation. Exploiting such trade-offs is of interest in the design of quantum repeater protocols. Here, we present a number of methods to assess and optimize entanglement distillation schemes. We start by giving a numerical method to compute upper bounds on the maximum achievable fidelity for a desired probability of success. We show that this method performs well for many known examples by comparing it to well-known distillation protocols. This allows us to show optimality for many well-known distillation protocols for specific states of interest. As an example, we analytically prove optimality of the distillation protocol utilized within the Extreme Photon Loss entanglement generation scheme, even in the asymptotic limit. We proceed to present a numerical method that can improve an existing distillation scheme for a given input state, and we present an example for which this method finds an optimal distillation protocol. An implementation of our numerical methods is available as a Julia package.

Original languageEnglish
Article number062333
Number of pages30
JournalPhysical Review A
Volume97
Issue number6
DOIs
Publication statusPublished - 21 Jun 2018

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