Quantum Network Tomography with Multi-party State Distribution

Matheus Guedes De Andrade, Jaime Diaz, Jake Navas, Saikat Guha, Ines Montano, Brian Smith, Michael Raymer, Don Towsley

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

1 Scopus citations

Abstract

The fragile nature of quantum information makes it practically impossible to completely isolate a quantum state from noise under quantum channel transmissions. Quantum networks are complex systems formed by the interconnection of quantum processing devices through quantum channels. In this context, characterizing how channels introduce noise in transmitted quantum states is of paramount importance. Precise descriptions of the error distributions introduced by non-unitary quantum channels can inform quantum error correction protocols to tailor operations for the particular error model. In addition, characterizing such errors by monitoring the network with end-to-end measurements enables end-nodes to infer the status of network links. In this work, we address the end-to-end characterization of quantum channels in a quantum network by introducing the problem of Quantum Network Tomography. The solution for this problem is an estimator for parameters that define a Kraus decomposition for all quantum channels in the network, using measurements performed exclusively in the end-nodes. We study this problem in detail for the case of arbitrary star quantum networks with quantum channels described by a single Pauli operator, like bit-flip quantum channels. We provide solutions for such networks with polynomial sample complexity. Our solutions provide evidence that pre-shared entanglement brings advantages for estimation in terms of the identifiability of parameters.

Original languageEnglish (US)
Title of host publicationProceedings - 2022 IEEE International Conference on Quantum Computing and Engineering, QCE 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages400-409
Number of pages10
ISBN (Electronic)9781665491136
DOIs
StatePublished - 2022
Event3rd IEEE International Conference on Quantum Computing and Engineering, QCE 2022 - Broomfield, United States
Duration: Sep 18 2022Sep 23 2022

Publication series

NameProceedings - 2022 IEEE International Conference on Quantum Computing and Engineering, QCE 2022

Conference

Conference3rd IEEE International Conference on Quantum Computing and Engineering, QCE 2022
Country/TerritoryUnited States
CityBroomfield
Period9/18/229/23/22

Keywords

  • Network Tomography
  • Quantum Estimation
  • Quantum Network Tomography
  • Quantum Networks
  • Quantum State Distribution
  • Quantum Tomography

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Control and Optimization
  • Atomic and Molecular Physics, and Optics

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