GHZ Distillation using Quantum LDPC Codes

Narayanan Rengaswamy, Ankur Raina, Nithin Raveendran, Bane Vasic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Entanglement distribution is a critical task in quantum networks. Since the distributed entanglement can suffer from noise in the channel, it is necessary to develop methods that distill higher quality entanglement from the shared noisy entangled states. In this work, we propose a protocol to distill multi-qubit Greenberger-Horne-Zeilinger (GHZ) states among the nodes of a network using quantum error correcting codes. The method builds upon a Bell state distillation protocol by Wilde et at. (2007) that we recently generalized to 3-qubit GHZ states. The key technical result that enables our protocol shows how measuring a Pauli operator, or in general a set of code stabilizers, on one subsystem of a multipartite GHZ state affects the other subsystems. The design and analysis of the protocol is driven by the stabilizer formalism for measurements, and we provide discussions to elucidate the steps of the protocol. A similar approach can be applied to distill other multipartite entangled states as long as they are stabilizer states.

Original languageEnglish (US)
Title of host publication2023 12th International Symposium on Topics in Coding, ISTC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350326116
DOIs
StatePublished - 2023
Event12th International Symposium on Topics in Coding, ISTC 2023 - Brest, France
Duration: Sep 4 2023Sep 8 2023

Publication series

Name2023 12th International Symposium on Topics in Coding, ISTC 2023

Conference

Conference12th International Symposium on Topics in Coding, ISTC 2023
Country/TerritoryFrance
CityBrest
Period9/4/239/8/23

Keywords

  • GHZ states
  • Quantum networks
  • entanglement distillation
  • stabilizer codes
  • stabilizer formalism

ASJC Scopus subject areas

  • Signal Processing
  • Software
  • Safety, Risk, Reliability and Quality

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