Imperfect quantum networks with tailored resource states

Maria Flors Mor-Ruiz; Julius Wallnöfer; Wolfgang Dür

doi:10.22331/q-2025-01-21-1605

Imperfect quantum networks with tailored resource states

Maria Flors Mor-Ruiz¹, Julius Wallnöfer², and Wolfgang Dür¹

¹Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21a, 6020 Innsbruck, Austria
²Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Published:	2025-01-21, volume 9, page 1605
Editor:	Cyril Branciard
Eprint:	arXiv:2403.19778v2
Doi:	https://doi.org/10.22331/q-2025-01-21-1605
Citation:	Quantum 9, 1605 (2025).

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Abstract

Entanglement-based quantum networks exhibit a unique flexibility in the choice of entangled resource states that are then locally manipulated by the nodes to fulfill any request in the network. Furthermore, this manipulation is not uniquely defined and thus can be optimized. We tailor the adaptation of the resource state or pre-established entanglement to achieve bipartite communication in an imperfect setting that includes time-dependent memory errors. In this same setting, we study how the flexibility of this approach can be used for the distribution of entanglement in a fully asymmetric network scenario. The considered entanglement topology is a custom one based on the minimization of the required measurements to retrieve a Bell pair. The optimization of the manipulation and the study of such a custom entanglement topology are performed using the noisy stabilizer formalism, a recently introduced method to fully track noise on graph states. We find that exploiting the flexibility of the entanglement topology, given a certain set of bipartite requests, is highly favorable in terms of the fidelity of the final state.

Featured image: Schematic depiction of the different structures of an entanglement-based quantum network, where c.c. is short for communication channels. Note that the classical c.c., the quantum c.c. and the entanglement do not exactly match.

► BibTeX data

@article{MorRuiz2025imperfectquantum,
  doi = {10.22331/q-2025-01-21-1605},
  url = {https://doi.org/10.22331/q-2025-01-21-1605},
  title = {Imperfect quantum networks with tailored resource states},
  author = {Mor-Ruiz, Maria Flors and Walln{\"{o}}fer, Julius and D{\"{u}}r, Wolfgang},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1605},
  month = jan,
  year = {2025}
}

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