Optimized Entanglement Purification

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities than what is currently available in the literature. We prov...

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Main Authors: Stefan Krastanov, Victor V. Albert, Liang Jiang
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2019-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2019-02-18-123/pdf/
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author Stefan Krastanov
Victor V. Albert
Liang Jiang
author_facet Stefan Krastanov
Victor V. Albert
Liang Jiang
author_sort Stefan Krastanov
collection DOAJ
description We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities than what is currently available in the literature. We provide a software tool for analytical and numerical study of the generated purification circuits, under customizable error models. These new purification protocols pave the way to practical implementations of modular quantum computers and quantum repeaters. Our approach is particularly attentive to the effects of finite resources and imperfect local operations - phenomena neglected in the usual asymptotic approach to the problem. The choice of the building blocks permitted in the construction of the circuits is based on a thorough enumeration of the local Clifford operations that act as permutations on the basis of Bell states.
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spelling doaj.art-340f91fd448b485b8f38a5c88ebf66ee2022-12-21T17:44:20ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2019-02-01312310.22331/q-2019-02-18-12310.22331/q-2019-02-18-123Optimized Entanglement PurificationStefan KrastanovVictor V. AlbertLiang JiangWe investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities than what is currently available in the literature. We provide a software tool for analytical and numerical study of the generated purification circuits, under customizable error models. These new purification protocols pave the way to practical implementations of modular quantum computers and quantum repeaters. Our approach is particularly attentive to the effects of finite resources and imperfect local operations - phenomena neglected in the usual asymptotic approach to the problem. The choice of the building blocks permitted in the construction of the circuits is based on a thorough enumeration of the local Clifford operations that act as permutations on the basis of Bell states.https://quantum-journal.org/papers/q-2019-02-18-123/pdf/
spellingShingle Stefan Krastanov
Victor V. Albert
Liang Jiang
Optimized Entanglement Purification
Quantum
title Optimized Entanglement Purification
title_full Optimized Entanglement Purification
title_fullStr Optimized Entanglement Purification
title_full_unstemmed Optimized Entanglement Purification
title_short Optimized Entanglement Purification
title_sort optimized entanglement purification
url https://quantum-journal.org/papers/q-2019-02-18-123/pdf/
work_keys_str_mv AT stefankrastanov optimizedentanglementpurification
AT victorvalbert optimizedentanglementpurification
AT liangjiang optimizedentanglementpurification