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  • Open Access

Hybrid analog teleportation-direct transmission in noisy bosonic channels

Uesli Alushi1,*, Simone Felicetti2,3,†, and Roberto Di Candia1,4,‡

  • *Contact author: uesli.alushi@aalto.fi
  • †Contact author: simone.felicetti@cnr.it
  • ‡Contact author: rob.dicandia@gmail.com

Phys. Rev. A 113, 022452 – Published 26 February, 2026

DOI: https://doi.org/10.1103/5jzq-tjpp

Abstract

Quantum teleportation uses a shared entangled resource, local operations, and a digitally error-corrected classical channel to transfer quantum states between distant parties. We introduce a hybrid teleportation-direct transmission protocol for state transfer that still exploits entanglement, but replaces classical communication and digital error correction with an analog feedforward through a noisy quantum channel. We show that quantum teleportation outperforms this protocol if the communication channel reduces the entanglement of all bipartite states having the same amount of entanglement as the resource; otherwise, the hybrid protocol is optimal. We apply our result to the state transfer of a uniformly distributed coherent-states codebook, highlighting experimentally relevant scenarios where our protocol is most effective. Our findings are directly relevant to both optical and superconducting microwave channels, where analog feedforward techniques have been recently implemented.

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References (38)

  1. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett. 70, 1895 (1993).
  2. L. Vaidman, Teleportation of quantum states, Phys. Rev. A 49, 1473 (1994).
  3. S. L. Braunstein and H. J. Kimble, Teleportation of continuous quantum variables, Phys. Rev. Lett. 80, 869 (1998).
  4. S. Pirandola, J. Eisert, C. Weedbrook, A. Furusawa, and S. L. Braunstein, Advances in quantum teleportation, Nat. Photon. 9, 641 (2015).
  5. X.-M. Hu, Y. Guo, B.-H. Liu, C.-F. Li, and G.-C. Guo, Progress in quantum teleportation, Nat. Rev. Phys. 5, 339 (2023).
  6. S. Olivares, M. G. Paris, and A. R. Rossi, Optimized teleportation in Gaussian noisy channels, Phys. Lett. A 319, 32 (2003).
  7. P. Liuzzo-Scorpo, A. Mari, V. Giovannetti, and G. Adesso, Optimal continuous variable quantum teleportation with limited resources, Phys. Rev. Lett. 119, 120503 (2017); 120, 029904(E) (2018).
  8. S. Tserkis, J. Dias, and T. C. Ralph, Simulation of Gaussian channels via teleportation and error correction of Gaussian states, Phys. Rev. A 98, 052335 (2018).
  9. G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65, 032314 (2002).
  10. M. B. Plenio, Logarithmic negativity: A full entanglement monotone that is not convex, Phys. Rev. Lett. 95, 090503 (2005).
  11. T. C. Ralph, All-optical quantum teleportation, Opt. Lett. 24, 348 (1999).
  12. R. Di Candia, K. Fedorov, L. Zhong, S. Felicetti, E. Menzel, M. Sanz, F. Deppe, A. Marx, R. Gross, and E. Solano, Quantum teleportation of propagating quantum microwaves, EPJ Quantum Technol. 2, 25 (2015).
  13. S. Liu, Y. Lou, and J. Jing, Orbital angular momentum multiplexed deterministic all-optical quantum teleportation, Nat. Commun. 11, 3875 (2020).
  14. S. Liu, Y. Lv, X. Wang, J. Wang, Y. Lou, and J. Jing, Deterministic all-optical quantum teleportation of four degrees of freedom, Phys. Rev. Lett. 132, 100801 (2024).
  15. K. G. Fedorov, M. Renger, S. Pogorzalek, R. Di Candia, Q. Chen, Y. Nojiri, K. Inomata, Y. Nakamura, M. Partanen, A. Marx, et al., Experimental quantum teleportation of propagating microwaves, Sci. Adv. 7, eabk0891 (2021).
  16. W. Yam, S. Gandorfer, F. Fesquet, M. Handschuh, K. Honasoge, A. Marx, R. Gross, and K. Fedorov, Quantum teleportation over thermal microwave network, arXiv:2508.14691.
  17. B. Abdo, W. Shanks, O. Jinka, J. R. Rozen, and J. Orcutt, Teleportation and entanglement swapping of continuous quantum variables of microwave radiation, Phys. Rev. X 15, 031075 (2025).
  18. P. Magnard, S. Storz, P. Kurpiers, J. Schär, F. Marxer, J. Lütolf, T. Walter, J.-C. Besse, M. Gabureac, Reuer, et al., Microwave quantum link between superconducting circuits housed in spatially separated cryogenic systems, Phys. Rev. Lett. 125, 260502 (2020).
  19. W. Yam, M. Renger, S. Gandorfer, F. Fesquet, M. Handschuh, K. Honasoge, F. Kronowetter, Y. Nojiri, M. Partanen, M. Pfeiffer, et al., Cryogenic microwave link for quantum local area networks, npj Quantum Inf. 11, 87 (2025).
  20. J. Eisert, K. Jacobs, P. Papadopoulos, and M. B. Plenio, Optimal local implementation of nonlocal quantum gates, Phys. Rev. A 62, 052317 (2000).
  21. S. Bravyi, O. Dial, J. M. Gambetta, D. Gil, and Z. Nazario, The future of quantum computing with superconducting qubits, J. Appl. Phys. 132, 160902 (2022).
  22. V. C. Usenko, A. Acín, R. Alléaume, U. L. Andersen, E. Diamanti, T. Gehring, A. A. Hajomer, F. Kanitschar, C. Pacher, S. Pirandola, et al., Continuous-variable quantum communication, arXiv:2501.12801.
  23. A. Serafini, Quantum Continuous Variables: A Primer of Theoretical Methods (CRC Press, Boca Raton, FL, 2017).
  24. E. P. Menzel, R. Di Candia, F. Deppe, P. Eder, L. Zhong, M. Ihmig, M. Haeberlein, A. Baust, E. Hoffmann, D. Ballester, et al., Path entanglement of continuous-variable quantum microwaves, Phys. Rev. Lett. 109, 250502 (2012).
  25. E. Flurin, N. Roch, F. Mallet, M. H. Devoret, and B. Huard, Generating entangled microwave radiation over two transmission lines, Phys. Rev. Lett. 109, 183901 (2012).
  26. S. Pogorzalek, K. Fedorov, M. Xu, A. Parra-Rodriguez, M. Sanz, M. Fischer, E. Xie, K. Inomata, Y. Nakamura, E. Solano, et al., Secure quantum remote state preparation of squeezed microwave states, Nat. Commun. 10, 2604 (2019).
  27. A. Serafini, F. Illuminati, and S. D. Siena, Symplectic invariants, entropic measures and correlations of Gaussian states, J. Phys. B: At., Mol. Opt. Phys. 37, L21 (2004).
  28. A. S. Holevo, One-mode quantum Gaussian channels: Structure and quantum capacity, Probl. Inf. Transm. 43, 1 (2007).
  29. C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Gaussian quantum information, Rev. Mod. Phys. 84, 621 (2012).
  30. Referring to Table I of Ref. [29], we do not consider quantum channels in the classes A1 and A2 as they are degenerate. The class B1 can be treated as a phase-insensitive channel by adding noise in the x̂ quadrature. Classes B2 and C are of the form given in Eq. (4). Class D acts as a noisy complex conjugation, which can be corrected at the encoding stage in a noisy way.
  31. K. G. Fedorov, L. Zhong, S. Pogorzalek, P. Eder, M. Fischer, J. Goetz, E. Xie, F. Wulschner, K. Inomata, Yamamoto, et al., Displacement of propagating squeezed microwave states, Phys. Rev. Lett. 117, 020502 (2016).
  32. M. Petrovich, E. Numkam Fokoua, Y. Chen, H. Sakr, A. I. Adamu, R. Hassan, D. Wu, R. Fatobene Ando, A. Papadimopoulos, S. R. Sandoghchi, et al., Broadband optical fibre with an attenuation lower than 0.1 decibel per kilometre, Nat. Photonics 19, 1203 (2025).
  33. N. J. Cerf, A. Ipe, and X. Rottenberg, Cloning of continuous quantum variables, Phys. Rev. Lett. 85, 1754 (2000).
  34. In Ref. [17], the logarithmic negativity is defined using a logarithm in base 2 rather than the natural logarithm. Converting to our convention, they report a logarithmic negativity between Alice and Bob of 2r≃1.04, with the entanglement distributed asymmetrically. At the source, the state is symmetric and exhibits a maximum squeezing below the vacuum level for the joint quadrature of 9dB, which corresponds to a logarithmic negativity at Charlie of 2rC≃2.07.
  35. L. Zhong, E. P. Menzel, R. Di Candia, P. Eder, M. Ihmig, A. Baust, M. Haeberlein, E. Hoffmann, K. Inomata, T. Yamamoto, et al., Squeezing with a flux-driven Josephson parametric amplifier, New J. Phys. 15, 125013 (2013).
  36. M. Huo, J. Qin, J. Cheng, Z. Yan, Z. Qin, X. Su, X. Jia, C. Xie, and K. Peng, Deterministic quantum teleportation through fiber channels, Sci. Adv. 4, eaas9401 (2018).
  37. R. Filip, Quantum interface to a noisy system through a single kind of arbitrary Gaussian coupling with limited interaction strength, Phys. Rev. A 80, 022304 (2009).
  38. P. Marek and R. Filip, Noise-resilient quantum interface based on quantum nondemolition interactions, Phys. Rev. A 81, 042325 (2010).

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