- Open Access
Heralded Entanglement of On-Demand Spin-Wave Solid-State Quantum Memories for Multiplexed Quantum Network Links
Phys. Rev. X 15, 041003 – Published 3 October, 2025
DOI: https://doi.org/10.1103/wvv1-6lg8
Abstract
The ability to distribute heralded entanglement between distant matter nodes is a primitive for the implementation of large-scale quantum networks. Some of the most crucial requirements for future applications include high heralding rates at telecom wavelengths, multiplexed operation, and on-demand retrieval of stored excitations for synchronization of separate quantum links. Despite tremendous progress in various physical systems, the demonstration of telecom-heralded entanglement between quantum nodes featuring both multiplexed operation and on-demand retrieval remains elusive. In this work, we combine narrow band parametric photon-pair sources and solid-state quantum memories based on rare-earth doped crystals to demonstrate telecom-heralded entanglement between spatially separated spin-wave quantum memories with fully adjustable recall time and temporal multiplexing of 15 modes. In a first experiment, the storage in the spin state is conditioned on the entanglement heralding. We take advantage of the control over readout pulse phase to achieve feedforward conditional phase shifts on the stored photons depending on which heralding detector clicked. We exploit this effect to double the entanglement heralding rate for a given quantum state up to , with an associated detection rate of and measured positive concurrence by up to 6 standard deviations. In a second experiment, we simulate the communication time of a long-distance link by implementing an unconditional storage scheme with a dead time of . We take advantage of temporal multiplexing to increase the entanglement rates by a factor of 15 with respect to single mode storage, reaching a value of per heralding detector. These results establish our architecture as a prime candidate for the implementation of scalable high-rate quantum network links.
Physics Subject Headings (PhySH)
- Entanglement detection
- Entanglement manipulation
- Entanglement measures
- Entanglement production
- Photon pairs & parametric down-conversion
- Quantum coherence & coherence measures
- Quantum communication
- Quantum communication, protocols & technology
- Quantum engineering
- Quantum entanglement
- Quantum networks
- Quantum repeaters
- Quantum teleportation
- Atomic ensemble
- Rare-earth doped crystals
- Rare-earth ions
- Photon counting
- Single-photon detectors
Popular Summary
A major challenge in building quantum networks is how to share quantum entanglement across long distances. Entanglement is a fragile resource that enables powerful applications in computing, sensing, and secure communication, but optical losses make it difficult to maintain over long fiber links. Quantum repeaters have been proposed as a solution. In this study, we report a key step forward: the successful demonstration of heralded entanglement—a confirmation of entanglement via a separate signal—between two spatially separated solid-state quantum memories featuring properties crucial for quantum repeaters.
We achieve this by pairing each quantum memory with a source of photon pairs. One photon is stored locally in the memory while the other—at telecom wavelength—is detected halfway between the two locations. Through the detection of a single telecom photon, the quantum memories are projected into an entangled state. Importantly, the entanglement is read out on demand, a key resource for using the quantum memories as synchronizing devices in quantum networks. We also show that the memories have the property of temporal multimodality, meaning they can store photons arriving at different times within a given window. This feature greatly enhances the overall rate of entanglement distribution, a crucial requirement for scalable quantum repeaters.
While improvements in memory efficiency and storage time are still needed to extend the range of entanglement distribution to larger distances, our current system is already suitable for implementing elementary network segments spanning several kilometers. Looking ahead, this progress lays the groundwork for connecting distant metropolitan areas, bringing us closer to realizing a large-scale quantum internet.
Article Text
References (51)
- S. Wehner, D. Elkouss, and R. Hanson, Quantum internet: A vision for the road ahead, Science 362, eaam9288 (2018).
- H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
- L. Jiang, J. M. Taylor, A. S. Sorensen, and M. D. Lukin, Distributed quantum computation based on small quantum registers, Phys. Rev. A 76, 062323 (2007).
- Z. Zhang and Q. Zhuang, Distributed quantum sensing, Quantum Sci. Technol. 6, 043001 (2021).
- S. Pirandola, U. L. Andersen, L. Banchi, M. Berta, D. Bunandar, R. Colbeck, D. Englund, T. Gehring, C. Lupo, C. Ottaviani, J. L. Pereira, M. Razavi, J. S. Shaari, M. Tomamichel, V. C. Usenko, G. Vallone, P. Villoresi, and P. Wallden, Advances in quantum cryptography, Adv. Opt. Photonics 12, 1012 (2020).
- H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, Quantum repeaters: The role of imperfect local operations in quantum communication, Phys. Rev. Lett. 81, 5932 (1998).
- L.-M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller, Long-distance quantum communication with atomic ensembles and linear optics, Nature (London) 414, 413 (2001).
- C. Simon, H. de Riedmatten, M. Afzelius, N. Sangouard, H. Zbinden, and N. Gisin, Quantum repeaters with photon pair sources and multimode memories, Phys. Rev. Lett. 98, 190503 (2007).
- S. Ritter, C. Nolleke, C. Hahn, A. Reiserer, A. Neuzner, M. Uphoff, M. Mucke, E. Figueroa, J. Bochmann, and G. Rempe, An elementary quantum network of single atoms in optical cavities, Nature (London) 484, 195 (2012).
- T. van Leent, M. Bock, F. Fertig, R. Garthoff, S. Eppelt, Y. Zhou, P. Malik, M. Seubert, T. Bauer, W. Rosenfeld, W. Zhang, C. Becher, and H. Weinfurter, Entangling single atoms over 33 km telecom fibre, Nature (London) 607, 69 (2022).
- V. Krutyanskiy, M. Galli, V. Krcmarsky, S. Baier, D. A. Fioretto, Y. Pu, A. Mazloom, P. Sekatski, M. Canteri, M. Teller, J. Schupp, J. Bate, M. Meraner, N. Sangouard, B. P. Lanyon, and T. E. Northup, Entanglement of trapped-ion qubits separated by 230 meters, Phys. Rev. Lett. 130, 050803 (2023).
- H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, Heralded entanglement between solid-state qubits separated by three metres, Nature (London) 497, 86 (2013).
- C. M. Knaut, A. Suleymanzade, Y.-C. Wei, D. R. Assumpcao, P.-J. Stas, Y. Q. Huan, B. Machielse, E. N. Knall, M. Sutula, G. Baranes, N. Sinclair, C. De-Eknamkul, D. S. Levonian, M. K. Bhaskar, H. Park, M. Lončar, and M. D. Lukin, Entanglement of nanophotonic quantum memory nodes in a telecom network, Nature (London) 629, 573 (2024).
- A. J. Stolk et al., Metropolitan-scale heralded entanglement of solid-state qubits, Sci. Adv. 10, eadp6442 (2024).
- C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, Measurement-induced entanglement for excitation stored in remote atomic ensembles, Nature (London) 438, 828 (2005).
- J.-L. Liu et al., Creation of memory–memory entanglement in a metropolitan quantum network, Nature (London) 629, 579 (2024).
- M. Afzelius, C. Simon, H. de Riedmatten, and N. Gisin, Multimode quantum memory based on atomic frequency combs, Phys. Rev. A 79, 052329 (2009).
- N. Sinclair, E. Saglamyurek, H. Mallahzadeh, J. A. Slater, M. George, R. Ricken, M. P. Hedges, D. Oblak, C. Simon, W. Sohler, and W. Tittel, Spectral multiplexing for scalable quantum photonics using an atomic frequency comb quantum memory and feed-forward control, Phys. Rev. Lett. 113, 053603 (2014).
- A. Seri, D. Lago-Rivera, A. Lenhard, G. Corrielli, R. Osellame, M. Mazzera, and H. de Riedmatten, Quantum storage of frequency-multiplexed heralded single photons, Phys. Rev. Lett. 123, 080502 (2019).
- M. Gündoğan, P. M. Ledingham, A. Almasi, M. Cristiani, and H. de Riedmatten, Quantum storage of a photonic polarization qubit in a solid, Phys. Rev. Lett. 108, 190504 (2012).
- M. Teller, S. Plascencia, C. Sastre Jachimska, S. Grandi, and H. de Riedmatten, A solid-state temporally multiplexed quantum memory array at the single-photon level, npj Quantum Inf. 11, 92 (2025).
- M. P. Hedges, J. J. Longdell, Y. Li, and M. J. Sellars, Efficient quantum memory for light, Nature (London) 465, 1052 (2010).
- M. Afzelius and C. Simon, Impedance-matched cavity quantum memory, Phys. Rev. A 82, 022310 (2010).
- S. Duranti, S. Wengerowsky, L. Feldmann, A. Seri, B. Casabone, and H. de Riedmatten, Efficient cavity-assisted storage of photonic qubits in a solid-state quantum memory, Opt. Express 32, 26884 (2024).
- M. Zhong, M. P. Hedges, R. L. Ahlefeldt, J. G. Bartholomew, S. E. Beavan, S. M. Wittig, J. J. Longdell, and M. J. Sellars, Optically addressable nuclear spins in a solid with a six-hour coherence time, Nature (London) 517, 177 (2015).
- A. Holzäpfel, J. Etesse, K. T. Kaczmarek, A. Tiranov, N. Gisin, and M. Afzelius, Optical storage for 0.53 s in a solid-state atomic frequency comb memory using dynamical decoupling, New J. Phys. 22, 063009 (2020).
- Y. Ma, Y.-Z. Ma, Z.-Q. Zhou, C.-F. Li, and G.-C. Guo, One-hour coherent optical storage in an atomic frequency comb memory, Nat. Commun. 12, 2381 (2021).
- A. Seri, A. Lenhard, D. Rieländer, M. Gündoğan, P. M. Ledingham, M. Mazzera, and H. de Riedmatten, Quantum correlations between single telecom photons and a multimode on-demand solid-state quantum memory, Phys. Rev. X 7, 021028 (2017).
- I. Usmani, C. Clausen, F. Bussières, N. Sangouard, M. Afzelius, and N. Gisin, Heralded quantum entanglement between two crystals, Nat. Photonics 6, 234 (2012).
- D. Lago-Rivera, S. Grandi, J. V. Rakonjac, A. Seri, and H. de Riedmatten, Telecom-heralded entanglement between multimode solid-state quantum memories, Nature (London) 594, 37 (2021).
- X. Liu, J. Hu, Z.-F. Li, X. Li, P.-Y. Li, P.-J. Liang, Z.-Q. Zhou, C.-F. Li, and G.-C. Guo, Heralded entanglement distribution between two absorptive quantum memories, Nature (London) 594, 41 (2021).
- M. Afzelius, I. Usmani, A. Amari, B. Lauritzen, A. Walther, C. Simon, N. Sangouard, J. Minár, H. de Riedmatten, N. Gisin, and S. Kröll, Demonstration of atomic frequency comb memory for light with spin-wave storage, Phys. Rev. Lett. 104, 040503 (2010).
- J. Fekete, D. Rieländer, M. Cristiani, and H. de Riedmatten, Ultranarrow-band photon-pair source compatible with solid state quantum memories and telecommunication networks, Phys. Rev. Lett. 110, 220502 (2013).
- J. V. Rakonjac, D. Lago-Rivera, A. Seri, M. Mazzera, S. Grandi, and H. de Riedmatten, Entanglement between a telecom photon and an on-demand multimode solid-state quantum memory, Phys. Rev. Lett. 127, 210502 (2021).
- C.-W. Chou, J. Laurat, H. Deng, K. S. Choi, H. de Riedmatten, D. Felinto, and H. J. Kimble, Functional quantum nodes for entanglement distribution over scalable quantum networks, Science 316, 1316 (2007).
- P. Caspar, E. Verbanis, E. Oudot, N. Maring, F. Samara, M. Caloz, M. Perrenoud, P. Sekatski, A. Martin, N. Sangouard, H. Zbinden, and R. T. Thew, Heralded distribution of single-photon path entanglement, Phys. Rev. Lett. 125, 110506 (2020).
- E. Bersin et al., Development of a boston-area 50-km fiber quantum network testbed, Phys. Rev. Appl. 21, 014024 (2024).
- J. Etesse, A. Holzäpfel, A. Ortu, and M. Afzelius, Optical and spin manipulation of non-Kramers rare-earth ions in a weak magnetic field for quantum memory applications, Phys. Rev. A 103, 022618 (2021).
- A. Ortu, A. Holzäpfel, J. Etesse, and M. Afzelius, Storage of photonic time-bin qubits for up to 20 ms in a rare-earth doped crystal, npj Quantum Inf. 8, 29 (2022).
- C. Pignol, A. Ortu, L. Nicolas, V. D’Auria, S. Tanzilli, T. Chanelière, M. Afzelius, and J. Etesse, Decoherence induced by dipole-dipole couplings between atomic species in rare earth ion doped , Phys. Rev. B 110, 214208 (2024).
- M. Hain, M. Stabel, and T. Halfmann, Few-photon storage on a second timescale by electromagnetically induced transparency in a doped solid, New J. Phys. 24, 023012 (2022).
- A. Ortu, J. V. Rakonjac, A. Holzäpfel, A. Seri, S. Grandi, M. Mazzera, H. de Riedmatten, and M. Afzelius, Multimode capacity of atomic-frequency comb quantum memories, Quantum Sci. Technol. 7, 035024 (2022).
- T.-S. Yang, Z.-Q. Zhou, Y.-L. Hua, X. Liu, Z.-F. Li, P.-Y. Li, Y. Ma, C. Liu, P.-J. Liang, X. Li, Y.-X. Xiao, J. Hu, C.-F. Li, and G.-C. Guo, Multiplexed storage and real-time manipulation based on a multiple degree-of-freedom quantum memory, Nat. Commun. 9, 3407 (2018).
- T. Zhong, J. M. Kindem, J. G. Bartholomew, J. Rochman, I. Craiciu, E. Miyazono, M. Bettinelli, E. Cavalli, V. Verma, S. W. Nam, F. Marsili, M. D. Shaw, A. D. Beyer, and A. Faraon, Nanophotonic rare-earth quantum memory with optically controlled retrieval, Science 357, 1392 (2017).
- J. V. Rakonjac, G. Corrielli, D. Lago-Rivera, A. Seri, M. Mazzera, S. Grandi, R. Osellame, and H. de Riedmatten, Storage and analysis of light-matter entanglement in a fiber-integrated system, Sci. Adv. 8, eabn3919 (2022).
- T.-X. Zhu, C. Liu, M. Jin, M.-X. Su, Y.-P. Liu, W.-J. Li, Y. Ye, Z.-Q. Zhou, C.-F. Li, and G.-C. Guo, On-demand integrated quantum memory for polarization qubits, Phys. Rev. Lett. 128, 180501 (2022).
- Z.-Q. Zhou, C. Liu, C.-F. Li, G.-C. Guo, D. Oblak, M. Lei, A. Faraon, M. Mazzera, and H. de Riedmatten, Photonic integrated quantum memory in rare-earth doped solids, Laser Photonics Rev. 17, 2300257 (2023).
- F. Appas, Dataset from Heralded entanglement of on-demand spin-wave solid-state quantum memories for multiplexed quantum network links, Zenodo. 10.5281/zenodo.16925994.
- M. Nilsson, L. Rippe, S. Kröll, R. Klieber, and D. Suter, Hole-burning techniques for isolation and study of individual hyperfine transitions in inhomogeneously broadened solids demonstrated in , Phys. Rev. B 70, 214116 (2004).
- P. Jobez, N. Timoney, C. Laplane, J. Etesse, A. Ferrier, P. Goldner, N. Gisin, and M. Afzelius, Towards highly multimode optical quantum memory for quantum repeaters, Phys. Rev. A 93, 032327 (2016).
- N. Maring, D. Lago-Rivera, A. Lenhard, G. Heinze, and H. De Riedmatten, Quantum frequency conversion of memory-compatible single photons from 606 nm to the telecom C-band, Optica 5, 507 (2018).
