Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Clock-transition-enabled long electron spin coherence of telecom emitters in CeO2

Basanta Mistri1,2,*, Vishal Ranjan3, and Siddharth Dhomkar1,2,4,†

  • *Contact author: basanta@smail.iitm.ac.in
  • †Contact author: sdhomkar@physics.iitm.ac.in

Phys. Rev. B 114, 204316 – Published 29 October, 2026

DOI: https://doi.org/10.1103/zb3k-h546

This article was published on 29 October, 2026. Please update your links.

Abstract

Rare-earth-ion-doped crystals have emerged as a promising platform for quantum technologies, owing to their narrow telecom-band optical emission, long spin memory, and compatibility with silicon integrated photonic architectures. However, the realization of scalable quantum devices requires host materials with intrinsically dilute spin environments to suppress decoherence. In this context, erbium (Er3+) doped cerium oxide (CeO2) is an attractive candidate due to the ultralow concentration of nuclear spins in the host matrix and its compatibility with silicon-based technologies. Here we perform a comprehensive investigation of the coherence properties of an Er3+ electron spin qubit in CeO2 via semiclassical as well as detailed cluster correlation expansion simulations. By systematically exploring magnetic field strength, pulse sequences, erbium concentration, and spin temperature, we identify regimes where decoherence from the spin bath is strongly suppressed. Our investigations illustrate that at dilute doping concentration (of the order of 10 ppb) and sub-Kelvin temperatures, operation near clock transitions enables Hahn-echo coherence times to approach the second timescale even at natural isotopic abundance. Importantly, from a practical standpoint, coherence times on the order of ∼10 ms are expected even at liquid helium temperature (about 2 K) for similar concentrations. Moreover, we demonstrate that an additional enhancement can be obtained with conventional multi-π-pulse dynamical decoupling protocols. Thus, our findings establish Er3+ doped CeO2 as a front-runner for realizing spin qubits, quantum memories, and integrated quantum networks.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (36)

  1. S. Probst, H. Rotzinger, A. V. Ustinov, and P. A. Bushev, Microwave multimode memory with an erbium spin ensemble, Phys. Rev. B 92, 014421 (2015).
  2. M. Le Dantec, M. Rančić, S. Lin, E. Billaud, V. Ranjan, D. Flanigan, S. Bertaina, T. Chanelière, P. Goldner, A. Erb, R. B. Liu, D. Estève, D. Vion, E. Flurin, and P. Bertet, Twenty-three–millisecond electron spin coherence of erbium ions in a natural-abundance crystal, Sci. Adv. 7, eabj9786 (2021).
  3. M. Rančić, M. P. Hedges, R. L. Ahlefeldt, and M. J. Sellars, Coherence time of over a second in a telecom-compatible quantum memory storagematerial, Nat. Phys. 14, 50 (2018).
  4. 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).
  5. A. Ortu, A. Tiranov, S. Welinski, F. Fröwis, N. Gisin, A. Ferrier, P. Goldner, and M. Afzelius, Simultaneous coherence enhancement of optical and microwave transitions in solid-state electronic spins, Nat. Mater. 17, 671 (2018).
  6. A. Kinos, D. Hunger, R. Kolesov, K. Mølmer, H. de Riedmatten, P. Goldner, A. Tallaire, and L. Morvan, Roadmap for rare-earth quantum computing, arXiv:2103.15743.
  7. X. Fernandez-Gonzalvo, Y.-H. Chen, C. Yin, S. Rogge, and J. J. Longdell, Coherent frequency up-conversion of microwaves to the optical telecommunications band in an Er:YSO crystal, Phys. Rev. A 92, 062313 (2015).
  8. C.W. Thiel, T. Böttger, and R. L. Cone, Rare-earth-doped materials for applications in quantum information storage and signal processing, J. Lumin. 131, 353 (2011).
  9. P. Goldner, A. Ferrier, and O. Guillot-Noël, Rare earth-doped crystals for quantum information processing, Handb. Phys. Chem. Rare Earths 46, 1 (2015).
  10. S. Bertaina, S. Gambarelli, A. Tkachuk, I. N. Kurkin, B. Z. Malkin, A. Stepanov, and B. Barbara, Rare-earth solid-state qubits, Nat. Nanotechnol. 2, 39 (2007).
  11. E. Saglamyurek, J. Jin, V. B. Verma, M. D. Shaw, F. Marsili, S. W. Nam, D. Oblak, and W. Tittel, Quantum storage of entangled telecom-wavelength photons in an erbium-doped optical fibre, Nat. Photon. 9, 83 (2015).
  12. I. R. Berkman, A. Lyasota, G. G. de Boo, J. G. Bartholomew, S. Q. Lim, B. C. Johnson, J. C. McCallum, B.-B. Xu, S. Xie, N. V. Abrosimov, H.-J. Pohl, R. L. Ahlefeldt, M. J. Sellars, C. Yin, and S. Rogge, Long optical and electron spin coherence times for erbium ions in silicon, npj Quantum Inf. 11, 66 (2025).
  13. S. Welinski, P. J. T. Woodburn, N. Lauk, R. L. Cone, C. Simon, P. Goldner, and C. W. Thiel, Electron spin coherence in optically excited states of rare-earth ions for microwave to optical quantum transducers, Phys. Rev. Lett. 122, 247401 (2019).
  14. M. Raha, S. Chen, C. M. Phenicie, S. Ourari, A. M. Dibos, and J. D. Thompson, Optical quantum nondemolition measurement of a single rare earth ion qubit, Nat. Commun. 11, 1605 (2020).
  15. M. T. Uysal, Ł. Dusanowski, H. Xu, S. P. Horvath, S. Ourari, R. J. Cava, N. P. de Leon, and J. D. Thompson, Spin-photon entanglement of a single Er3+ ion in the telecom band, Phys. Rev. X 15, 011071 (2025).
  16. V. Ranjan, Y. Wen, A. K. V. Keyser, S. E. Kubatkin, A. V. Danilov, T. Lindström, P. Bertet, and S. E. de Graaf, Spin-echo silencing using a current-biased frequency-tunable resonator, Phys. Rev. Lett. 129, 180504 (2022).
  17. M. Rančić, M. Le Dantec, S. Lin, S. Bertaina, T. Chanelière, D. Serrano, P. Goldner, R. B. Liu, E. Flurin, D. Estève, D. Vion, and P. Bertet, Electron-spin spectral diffusion in an erbium doped crystal at millikelvin temperatures, Phys. Rev. B 106, 144412 (2022).
  18. L. Marsh, Y. Yikai, C. Mattiroli, M. T. Sayat, Đ. M. Trí, H. M. Rønnow, J. J. Longdell, and J.-R. Soh, Nuclear quadrupole interaction and zero first-order Zeeman transitions of Er3+167 in CaWO4, Phys. Rev. B 113, 054417 (2026).
  19. J. V. Rakonjac, Y.-H. Chen, S. P. Horvath, and J. J. Longdell, Long spin coherence times in the ground state and in an optically excited state of Er3+167:Y2SiO5 at zero magnetic field, Phys. Rev. B 101, 184430 (2020).
  20. S. Kanai, F. J. Heremans, H. Seo, G. Wolfowicz, C. P. Anderson, S. E. Sullivan, M. Onizhuk, G. Galli, D. D. Awschalom, and H. Ohno, Generalized scaling of spin qubit coherence in over 12,000 host materials, Proc. Natl. Acad. Sci. USA 119, e2121808119 (2022).
  21. G. D. Grant, J. Zhang, I. Masiulionis, S. Chattaraj, K. E. Sautter, S. E. Sullivan, R. Chebrolu, Y. Liu, J. B. Martins, J. Niklas, A. M. Dibos, S. Kewalramani, J. W. Freeland, J. Wen, O. G. Poluektov, F. J. Heremans, D. D. Awschalom, and S. Guha, Optical and microstructural characterization of Er3+ doped epitaxial cerium oxide on silicon, APL Mater. 12, 021121 (2024).
  22. J. Zhang, G. D. Grant, I. Masiulionis, M. T. Solomon, J. C. Marcks, J. K. Bindra, J. Niklas, A. M. Dibos, O. G. Poluektov, F. J. Heremans, S. Guha, and D. D. Awschalom, Optical and spin coherence of Er spin qubits in epitaxial cerium dioxide on silicon, npj Quantum Inf. 10, 119 (2024).
  23. S. K. Seth, J. Nagura, V. Somjit, A. Bapat, X. Li, G. D. Grant, I. Masiulionis, X. Han, F. J. Heremans, G. Galli, D. D. Awschalom, S. Guha, and J. Zhang, Spin decoherence dynamics of Er3+ in CeO2 films, Phys. Rev. Lett. 135, 266901 (2025).
  24. W. M. Witzel and S. Das Sarma, Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment, Phys. Rev. B 74, 035322 (2006).
  25. W. Yang and R.-B. Liu, Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics, Phys. Rev. B 79, 115320 (2009).
  26. W. Yao, R.-B. Liu, and L. J. Sham, Theory of electron spin decoherence by interacting nuclear spins in a quantum dot, Phys. Rev. B 74, 195301 (2006).
  27. R. Li, Anomalous external-magnetic-field dependence of dephasing in a spin bath, Phys. Rev. A 86, 032333 (2012).
  28. M. Onizhuk and G. Galli, PyCCE: A Python package for cluster correlation expansion simulations of spin qubit dynamic, Adv. Theory Simul. 4, 2100254 (2021).
  29. N. F. Ramsey, A molecular beam resonance method with separated oscillating fields, Phys. Rev. 78, 695 (1950).
  30. E. L. Hahn, Spin echoes, Phys. Rev. 80, 580 (1950).
  31. H. Y. Carr and E. M. Purcell, Effects of diffusion on free precession in nuclear magnetic resonance experiments, Phys. Rev. 94, 630 (1954).
  32. S. Meiboom and D. Gill, Modified spin-echo method for measuring nuclear relaxation times, Rev. Sci. Instrum. 29, 688 (1958).
  33. B. Mistri, S. Mahajan, F. Donaldson, R. K. Kamineni, and S. Dhomkar, Identifying optimal magnetic field configurations for decoherence mitigation of boron vacancies in hexagonal boron nitride, Phys. Rev. B 112, 245141 (2025).
  34. V. Ranjan, B. Albanese, E. Albertinale, E. Billaud, D. Flanigan, J. J. Pla, T. Schenkel, D. Vion, D. Esteve, E. Flurin, J. J. L. Morton, Y. M. Niquet, and P. Bertet, Spatially resolved decoherence of donor spins in silicon strained by a metallic electrode, Phys. Rev. X 11, 031036 (2021).
  35. G. Wolfowicz, A. M. Tyryshkin, R. E. George, H. Riemann, N. V. Abrosimov, P. Becker, H. J. Pohl, M. L. Thewalt, S. A. Lyon, and J. J. Morton, Atomic clock transitions in silicon-based spin qubits, Nat. Nanotechnol. 8, 561 (2013).
  36. B. Mistri, Code for Hamiltonian diagonalization, gradient, and curvature evaluation, GitHub, 2026, https://github.com/Basanta-iitm-git/Decoherence_mapping.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation