Briegel, H. J., Dür, W., Cirac, J. I. & Zoller, P. Quantum repeaters: the role of imperfect local operations in quantum communication. Phy. Rev. Lett. 81, 5932–5935 (1998).
Kimble, H. J. The quantum internet. Nature 453, 1023–1030 (2008).
Sangouard, N., Simon, C., de Riedmatten, H. & Gisin, N. Quantum repeaters based on atomic ensembles and linear optics. Rev. Mod. Phys. 83, 33–80 (2011).
Wehner, S., Elkouss, D. & Hanson, R. Quantum internet: a vision for the road ahead. Science 362, eaam9288 (2018).
Chou, C.-W. et al. Functional quantum nodes for entanglement distribution over scalable quantum networks. Science 316, 1316–1320 (2007).
Yu, Y. et al. Entanglement of two quantum memories via fibres over dozens of kilometres. Nature 578, 240–245 (2020).
Luo, X.-Y. et al. Entangling quantum memories over 420 km in fiber. Preprint at https://arxiv.org/abs/2504.05660 (2025).
Hofmann, J. et al. Heralded entanglement between widely separated atoms. Science 337, 72–75 (2012).
van Leent, T. et al. Entangling single atoms over 33 km telecom fibre. Nature 607, 69–73 (2022).
Zhang, W. et al. A device-independent quantum key distribution system for distant users. Nature 607, 687–691 (2022).
Nadlinger, D. P. et al. Experimental quantum key distribution certified by Bell’s theorem. Nature 607, 682–686 (2022).
Krutyanskiy, V. et al. Entanglement of trapped-ion qubits separated by 230 meters. Phy. Rev. Lett. 130, 050803 (2023).
Hensen, B. et al. Loophole-free bell inequality violation using electron spins separated by 1.3 kilometres. Nature 526, 682–686 (2015).
Delteil, A. et al. Generation of heralded entanglement between distant hole spins. Nat. Phys. 12, 218–223 (2016).
Stolk, A. J. et al. Metropolitan-scale heralded entanglement of solid-state qubits. Sci.e Adv. 10, eadp6442 (2024).
Knaut, C. M. et al. Entanglement of nanophotonic quantum memory nodes in a telecom network. Nature 629, 573–578 (2024).
Afzal, F. et al. Distributed quantum computing in silicon. Preprint at https://arxiv.org/abs/2406.01704 (2024).
Riedinger, R. et al. Remote quantum entanglement between two micromechanical oscillators. Nature 556, 473–477 (2018).
Liu, X. et al. Heralded entanglement distribution between two absorptive quantum memories. Nature 594, 41–45 (2021).
Lago-Rivera, D., Grandi, S., Rakonjac, J. V., Seri, A. & de Riedmatten, H. Telecom-heralded entanglement between multimode solid-state quantum memories. Nature 594, 37–40 (2021).
Ruskuc, A. et al. Multiplexed entanglement of multi-emitter quantum network nodes. Nature 639, 54–59 (2025).
Zhu, T.-X., Liu, X., Zhou, Z.-Q. & Li, C.-F. Remote quantum networks based on quantum memories. Nanophotonics 14, 1975–1992 (2025).
Liu, J.-L. et al. Creation of memory-memory entanglement in a metropolitan quantum network. Nature 629, 579–585 (2024).
Acín, A. et al. Device-independent security of quantum cryptography against collective attacks. Phy. Rev. Lett. 98, 230501 (2007).
Pironio, S. et al. Random numbers certified by Bell’s theorem. Nature 464, 1021–1024 (2010).
Adamson, S. A. Parallel remote state preparation for fully device-independent verifiable blind quantum computation. Phys. Rev. Res. 7, 013069 (2025).
Šupić, I. & Bowles, J. Self-testing of quantum systems: a review. Quantum 4, 337 (2020).
Sekatski, P., Bancal, J.-D., Ioannou, M., Afzelius, M. & Brunner, N. Toward the device-independent certification of a quantum memory. Phy. Rev. Lett. 131, 170802 (2023).
Barrett, S. D. & Kok, P. Efficient high-fidelity quantum computation using matter qubits and linear optics. Phys. Rev. A 71, 060310 (2005).
Halder, M. et al. Entangling independent photons by time measurement. Nat. Phys. 3, 692–695 (2007).
Clauser, J. F., Horne, M. A., Shimony, A. & Holt, R. A. Proposed experiment to test local hidden variable theories. Phys. Rev. Lett. 24, 549 (1970).
Ortu, A., Holzäpfel, A., Etesse, J. & Afzelius, M. Storage of photonic time-bin qubits for up to 20 ms in a rare-earth doped crystal. npj Quantum Inf. 8, 29 (2022).
Ma, Y.-Z. et al. Elimination of noise in optically rephased photon echoes. Nat. Commun. 12, 4378 (2021).
Liu, Y.-P. et al. A millisecond integrated quantum memory for photonic qubits. Sci. Adv. 11, eadu5264 (2025).
Simon, C. et al. Quantum repeaters with photon pair sources and multimode memories. Phy. Rev. Lett. 98, 190503 (2007).
Jiang, L., Taylor, J. M. & Lukin, M. D. Fast and robust approach to long-distance quantum communication with atomic ensembles. Phys. Rev. A 76, 012301 (2007).
Zhao, B., Chen, Z.-B., Chen, Y.-A., Schmiedmayer, J. & Pan, J.-W. Robust creation of entanglement between remote memory qubits. Phy. Rev. Lett. 98, 240502 (2007).
Simon, C. & Irvine, W. T. M. Robust long-distance entanglement and a loophole-free bell test with ions and photons. Phys. Rev. Lett. 91, 110405 (2003).
Li, C.-L., Yin, H.-L. & Chen, Z.-B. Asynchronous quantum repeater using multiple quantum memory. Rep. Progr. Phys. 87, 127901 (2024).
Fekete, J., Rieländer, D., Cristiani, M. & de Riedmatten, H. Ultranarrow-band photon-pair source compatible with solid state quantum memories and telecommunication networks. Phy. Rev. Lett. 110, 220502 (2013).
de Riedmatten, H., Afzelius, M., Staudt, M. U., Simon, C. & Gisin, N. A solid-state light-matter interface at the single-photon level. Nature 456, 773–777 (2008).
Liu, X. et al. Nonlocal photonic quantum gates over 7.0 km. Nat. Commun. 15, 8529 (2024).
Gühne, O. & Tóth, G. Entanglement detection. Phys. Rep. 474, 1–75 (2009).
Ma, Y., Ma, Y.-Z., Zhou, Z.-Q., Li, C.-F. & Guo, G.-C. One-hour coherent optical storage in an atomic frequency comb memory. Nat. Commun. 12, 2381 (2021).
Zhu, T.-X. et al. Data for ‘a metropolitan-scale multiplexed quantum repeater with Bell nonlocality’. figshare https://doi.org/10.6084/m9.figshare.31778782 (2026).