Abstract
Quantum interconnects facilitate entanglement distribution between non-local computational nodes in a quantum network. For superconducting processors, microwave photons are a natural means to mediate this distribution. However, many existing architectures limit node connectivity and directionality. In this work, we construct a chiral quantum interconnect between two nominally identical modules in separate microwave packages. Our approach uses quantum interference to emit and absorb microwave photons on demand and in a chosen direction between these modules. We optimize our protocol using model-free reinforcement learning to maximize the absorption efficiency. By halting the emission process halfway through its duration, we generate remote entanglement between modules in the form of a four-qubit W state with approximately 62% fidelity in each direction, limited mainly by propagation loss. This quantum network architecture enables all-to-all connectivity between non-local processors for modular and extensible quantum simulation and computation.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout




Similar content being viewed by others
Data availability
The data that support the findings of this study are available from the corresponding authors upon reasonable request.
Code availability
The code used for numerical simulations and data analyses is available from the corresponding authors upon reasonable request.
References
Cirac, J. I., Zoller, P., Kimble, H. J. & Mabuchi, H. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221–3224 (1997).
Cirac, J. I., Ekert, A. K., Huelga, S. F. & Macchiavello, C. Distributed quantum computation over noisy channels. Phys. Rev. A 59, 4249–4254 (1999).
Kimble, H. J. The quantum internet. Nature 453, 1023–1030 (2008).
Monroe, C. et al. Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects. Phys. Rev. A 89, 022317 (2014).
Hensen, B. et al. Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres. Nature 526, 682–686 (2015).
Pita-Vidal, M. et al. Strong tunable coupling between two distant superconducting spin qubits. Nat. Phys. 20, 1158–1163 (2024).
Bluvstein, D. et al. A quantum processor based on coherent transport of entangled atom arrays. Nature 604, 451–456 (2022).
Breuckmann, N. P. & Eberhardt, J. N. Quantum low-density parity-check codes. PRX Quantum 2, 040101 (2021).
Zhong, Y. P. et al. Violating Bell’s inequality with remotely connected superconducting qubits. Nat. Phys. 15, 741–744 (2019).
Zhong, Y. et al. Deterministic multi-qubit entanglement in a quantum network. Nature 590, 571–575 (2021).
Burkhart, L. D. et al. Error-detected state transfer and entanglement in a superconducting quantum network. PRX Quantum 2, 030321 (2021).
Qiu, J. et al. Deterministic quantum state and gate teleportation between distant superconducting chips. Sci. Bull. 70, 351–358 (2024).
Niu, J. et al. Low-loss interconnects for modular superconducting quantum processors. Nat. Electron. 6, 235–241 (2023).
Kurpiers, P. et al. Deterministic quantum state transfer and remote entanglement using microwave photons. Nature 558, 264–267 (2018).
Axline, C. J. et al. On-demand quantum state transfer and entanglement between remote microwave cavity memories. Nat. Phys. 14, 705–710 (2018).
Lalumière, K. et al. Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms. Phys. Rev. A 88, 043806 (2013).
Gheeraert, N., Kono, S. & Nakamura, Y. Programmable directional emitter and receiver of itinerant microwave photons in a waveguide. Phys. Rev. A 102, 053720 (2020).
Guimond, P.-O. et al. A unidirectional on-chip photonic interface for superconducting circuits. npj Quantum Inf. 6, 32 (2020).
Solano, P., Barberis-Blostein, P. & Sinha, K. Dissimilar collective decay and directional emission from two quantum emitters. Phys. Rev. A 107, 023723 (2023).
Wallraff, A. et al. Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162–167 (2004).
Astafiev, O. et al. Resonance fluorescence of a single artificial atom. Science 327, 840–843 (2010).
Dicke, R. H. Coherence in spontaneous radiation processes. Phys. Rev. 93, 99–110 (1954).
van Loo, A. F. et al. Photon-mediated interactions between distant artificial atoms. Science 342, 1494–1496 (2013).
Mirhosseini, M. et al. Cavity quantum electrodynamics with atom-like mirrors. Nature 569, 692–697 (2019).
Kannan, B. et al. Waveguide quantum electrodynamics with superconducting artificial giant atoms. Nature 583, 775–779 (2020).
Zanner, M. et al. Coherent control of a multi-qubit dark state in waveguide quantum electrodynamics. Nat. Phys. 18, 538–543 (2022).
Forn-Díaz, P., Warren, C. W., Chang, C. W. S., Vadiraj, A. M. & Wilson, C. M. On-demand microwave generator of shaped single photons. Phys. Rev. Appl. 8, 054015 (2017).
Besse, J.-C. et al. Realizing a deterministic source of multipartite-entangled photonic qubits. Nat. Commun. 11, 4877 (2020).
Pichler, H., Ramos, T., Daley, A. J. & Zoller, P. Quantum optics of chiral spin networks. Phys. Rev. A 91, 042116 (2015).
Lodahl, P. et al. Chiral quantum optics. Nature 541, 473–480 (2017).
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F. & Zayats, A. V. Spin–orbit interactions of light. Nat. Photon. 9, 796–808 (2015).
Petersen, J., Volz, J. & Rauschenbeutel, A. Chiral nanophotonic waveguide interface based on spin-orbit interaction of light. Science 346, 67–71 (2014).
Soro, A. & Kockum, A. F. Chiral quantum optics with giant atoms. Phys. Rev. A 105, 023712 (2022).
Joshi, C., Yang, F. & Mirhosseini, M. Resonance fluorescence of a chiral artificial atom. Phys. Rev. X 13, 021039 (2023).
Lingenfelter, A. et al. Exact results for a boundary-driven double spin chain and resource-efficient remote entanglement stabilization. Phys. Rev. X 14, 021028 (2024).
Irfan, A. et al. Loss resilience of driven-dissipative remote entanglement in chiral waveguide quantum electrodynamics. Phys. Rev. Res. 6, 033212 (2024).
Kannan, B. et al. On-demand directional microwave photon emission using waveguide quantum electrodynamics. Nat. Phys. 19, 394–400 (2023).
Sivak, V. V. et al. Model-free quantum control with reinforcement learning. Phys. Rev. X 12, 011059 (2022).
Sivak, V. V. et al. Real-time quantum error correction beyond break-even. Nature 616, 50–55 (2023).
Ding, L. et al. High-fidelity, frequency-flexible two-qubit fluxonium gates with a transmon coupler. Phys. Rev. X 13, 031035 (2023).
Eichler, C., Bozyigit, D. & Wallraff, A. Characterizing quantum microwave radiation and its entanglement with superconducting qubits using linear detectors. Phys. Rev. A 86, 032106 (2012).
Kannan, B. et al. Generating spatially entangled itinerant photons with waveguide quantum electrodynamics. Sci. Adv. 6, eabb8780 (2020).
Dür, W., Vidal, G. & Cirac, J. I. Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314 (2000).
Bennett, C. H. et al. Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722–725 (1996).
Ramette, J., Sinclair, J., Breuckmann, N. P. & Vuletić, V. Fault-tolerant connection of error-corrected qubits with noisy links. npj Quantum Inf. 10, 58 (2024).
Koch, J. et al. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A 76, 042319 (2007).
Yan, F. et al. Tunable coupling scheme for implementing high-fidelity two-qubit gates. Phys. Rev. Appl. 10, 054062 (2018).
Sung, Y. et al. Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler. Phys. Rev. X 11, 021058 (2021).
Yang, J. et al. Deterministic generation of shaped single microwave photons using a parametrically driven coupler. Phys. Rev. Appl. 20, 054018 (2023).
Roth, M. et al. Analysis of a parametrically driven exchange-type gate and a two-photon excitation gate between superconducting qubits. Phys. Rev. A 96, 062323 (2017).
Rol, M. A. et al. Time-domain characterization and correction of on-chip distortion of control pulses in a quantum processor. Appl. Phys. Lett. 116, 054001 (2020).
Gühne, O. & Seevinck, M. Separability criteria for genuine multiparticle entanglement. New J. Phys. 12, 053002 (2010).
Dür, W. Multipartite entanglement that is robust against disposal of particles. Phys. Rev. A 63, 020303 (2001).
Weiss, D., Puri, S. & Girvin, S. Quantum random access memory architectures using 3D superconducting cavities. PRX Quantum 5, 020312 (2024).
Rosenberg, D. et al. 3D integrated superconducting qubits. npj Quantum Inf. 3, 42 (2017).
Yost, D. R. W. et al. Solid-state qubits integrated with superconducting through-silicon vias. npj Quantum Inf. 6, 59 (2020).
Field, M. et al. Modular superconducting-qubit architecture with a multichip tunable coupler. Phys. Rev. Appl. 21, 054063 (2024).
Jiang, L., Taylor, J. M., Sørensen, A. S. & Lukin, M. D. Distributed quantum computation based on small quantum registers. Phys. Rev. A 76, 062323 (2007).
Chou, K. S. et al. Deterministic teleportation of a quantum gate between two logical qubits. Nature 561, 368–373 (2018).
Acknowledgements
This research was funded in part by the Army Research Office under award no. W911NF-23-1-0045; in part by the AWS Center for Quantum Computing; and in part under Air Force contract no. FA8702-15-D-0001. A.A. acknowledges support from the Paul & Daisy Soros Fellowships program and the Clare Boothe Luce Graduate Fellowship. B.Y. acknowledges support from the Fannie and John Hertz Foundation and the NSF Graduate Research Fellowship Program. M.H. is supported by an appointment to the Intelligence Community Postdoctoral Research Fellowship Program at MIT administered by Oak Ridge Institute for Science and Education (ORISE) through an interagency agreement between the US Department of Energy and the Office of the Director of National Intelligence (ODNI). Any opinions, findings, conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the US Air Force or the US Government.
Author information
Authors and Affiliations
Contributions
A.A. designed the experimental procedure and conducted the measurements. A.A. and B.Y. designed the devices, performed the theoretical calculations and simulations, analysed the data and wrote the manuscript. M.H. assisted in implementing the RL optimization. R.A. helped troubleshoot the experiments and analyse the data. A.G. assisted with the automation of calibration. M.G., B.M.N. and H.S. fabricated the devices with coordination from K.S. and M.E.S. B.Y., B.K., R.A. and J.Î.-j.W. assisted with the experimental setup. T.P.O., S.G., M.H., J.A.G. and W.D.O. supervised the project. All authors discussed the results and commented on the manuscript.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Physics thanks Matt LaHaye and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
Supplementary Sections A–H, Figs. 1–5, Tables 1–6 and discussion.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Almanakly, A., Yankelevich, B., Hays, M. et al. Deterministic remote entanglement using a chiral quantum interconnect. Nat. Phys. 21, 825–830 (2025). https://doi.org/10.1038/s41567-025-02811-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41567-025-02811-1


