Distribution of entanglement in two-dimensional square grid network

Eneet Kaur; Saikat Guha

doi:10.1109/QCE57702.2023.00130

Distribution of entanglement in two-dimensional square grid network

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study entanglement generation in a quantum network where repeater nodes can perform n-qubit Greenberger-Horne-Zeilinger(GHZ) swaps, i.e., projective measurements, to fuse n imperfect-Fidelity entangled-state fragments. We show that the distance-independent entanglement distribution rate found previously for this protocol, assuming perfectly-entangled states at the link level, does not survive. This is true also in the modified protocol we study - one that spatially constrains the repeater nodes involved in the swaps. We obtain analytical formulas for a GHZ swap of multiple Werner states, which might be of independent interest. Whether the distance-independent entanglement rate might re-emerge with a spatio-temporally-optimized scheduling of GHZ swaps and multi-site block-distillation codes, remains open.

Original language	English (US)
Title of host publication	Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Editors	Hausi Muller, Yuri Alexev, Andrea Delgado, Greg Byrd
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1154-1164
Number of pages	11
ISBN (Electronic)	9798350343236
DOIs	https://doi.org/10.1109/QCE57702.2023.00130
State	Published - 2023
Event	4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023 - Bellevue, United States Duration: Sep 17 2023 → Sep 22 2023

Publication series

Name	Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Volume	1

Conference

Conference	4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Country/Territory	United States
City	Bellevue
Period	9/17/23 → 9/22/23

Keywords

entanglement generation
quantum networks
swapping

ASJC Scopus subject areas

Computational Theory and Mathematics
Hardware and Architecture
Signal Processing
Electrical and Electronic Engineering
Computational Mathematics
Theoretical Computer Science
Atomic and Molecular Physics, and Optics
Computer Science (miscellaneous)

Access to Document

10.1109/QCE57702.2023.00130

Cite this

Kaur, E., & Guha, S. (2023). Distribution of entanglement in two-dimensional square grid network. In H. Muller, Y. Alexev, A. Delgado, & G. Byrd (Eds.), Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023 (pp. 1154-1164). (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/QCE57702.2023.00130

Distribution of entanglement in two-dimensional square grid network. / Kaur, Eneet; Guha, Saikat.
Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. ed. / Hausi Muller; Yuri Alexev; Andrea Delgado; Greg Byrd. Institute of Electrical and Electronics Engineers Inc., 2023. p. 1154-1164 (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kaur, E & Guha, S 2023, Distribution of entanglement in two-dimensional square grid network. in H Muller, Y Alexev, A Delgado & G Byrd (eds), Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 1154-1164, 4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023, Bellevue, United States, 9/17/23. https://doi.org/10.1109/QCE57702.2023.00130

Kaur E, Guha S. Distribution of entanglement in two-dimensional square grid network. In Muller H, Alexev Y, Delgado A, Byrd G, editors, Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 1154-1164. (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023). doi: 10.1109/QCE57702.2023.00130

Kaur, Eneet ; Guha, Saikat. / Distribution of entanglement in two-dimensional square grid network. Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. editor / Hausi Muller ; Yuri Alexev ; Andrea Delgado ; Greg Byrd. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 1154-1164 (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023).

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AB - We study entanglement generation in a quantum network where repeater nodes can perform n-qubit Greenberger-Horne-Zeilinger(GHZ) swaps, i.e., projective measurements, to fuse n imperfect-Fidelity entangled-state fragments. We show that the distance-independent entanglement distribution rate found previously for this protocol, assuming perfectly-entangled states at the link level, does not survive. This is true also in the modified protocol we study - one that spatially constrains the repeater nodes involved in the swaps. We obtain analytical formulas for a GHZ swap of multiple Werner states, which might be of independent interest. Whether the distance-independent entanglement rate might re-emerge with a spatio-temporally-optimized scheduling of GHZ swaps and multi-site block-distillation codes, remains open.

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Distribution of entanglement in two-dimensional square grid network

Abstract

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Keywords

ASJC Scopus subject areas

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