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High-fidelity state transfer in silicon-vacancy-phononic networks with closed mechanical subsystems

Weihu Xu1, Juntao Li1, Zeyang Liao1,*, and Xiaoqi Zhou1,2,†

  • *Contact author: liaozy7@mail.sysu.edu.cn
  • †Contact author: zhouxq8@mail.sysu.edu.cn
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Phys. Rev. Research 8, 043147 – Published 9 November, 2026

DOI: https://doi.org/10.1103/d3p6-yxps

Abstract

Building on the alternating-waveguide closed-mechanical-subsystem architecture introduced by Kuzyk and Wang [Phys. Rev. X 8, 041027 (2018)], we develop a diamond phononic network that overcomes the coupling-hierarchy bottleneck in the implementation analyzed there. Beyond replacing nitrogen-vacancy centers with silicon-vacancy (SiV) centers, we independently engineer the two relevant couplings: Localized defect modes and strong SiV orbital-strain interaction enhance the spin-phonon coupling G, whereas cavity-waveguide engineering suppresses the cavity-waveguide coupling g. The resulting coupling hierarchy reverses that found in earlier physical implementations of closed-mechanical-subsystem networks and places the system in the G≫g regime required for direct state transfer. This hierarchy reversal qualitatively changes the appropriate control strategy from bichromatic Mølmer-Sørensen driving to a simple direct triple swap. Within our model, the resulting protocol enables state transfer with a fidelity of 0.999 on a microsecond timescale and remains robust against mechanical dissipation, spin dephasing, and finite thermal occupation. Our results establish a distinct route for scalable solid-state phononic quantum networks.

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References (71)

  1. M. V. Gustafsson, T. Aref, A. F. Kockum, M. K. Ekström, G. Johansson, and P. Delsing, Propagating phonons coupled to an artificial atom, Science 346, 207 (2014).
  2. M. J. A. Schuetz, E. M. Kessler, G. Giedke, L. M. K. Vandersypen, M. D. Lukin, and J. I. Cirac, Universal quantum transducers based on surface acoustic waves, Phys. Rev. X 5, 031031 (2015).
  3. M.-A. Lemonde, S. Meesala, A. Sipahigil, M. J. A. Schuetz, M. D. Lukin, M. Loncar, and P. Rabl, Phonon networks with silicon-vacancy centers in diamond waveguides, Phys. Rev. Lett. 120, 213603 (2018).
  4. M. C. Kuzyk and H. Wang, Scaling phononic quantum networks of solid-state spins with closed mechanical subsystems, Phys. Rev. X 8, 041027 (2018).
  5. X. Li, M. C. Kuzyk, and H. Wang, Honeycomblike phononic networks of spins with closed mechanical subsystems, Phys. Rev. Appl. 11, 064037 (2019).
  6. T. Neuman, M. Eichenfield, M. E. Trusheim, L. Hackett, P. Narang, and D. Englund, A phononic interface between a superconducting quantum processor and quantum networked spin memories, npj Quantum Inf. 7, 121 (2021).
  7. S. Maity, L. Shao, S. Bogdanović, S. Meesala, Y.-I. Sohn, N. Sinclair, B. Pingault, M. Chalupnik, C. Chia, L. Zheng, K. Lai, and M. Lončar, Coherent acoustic control of a single silicon vacancy spin in diamond, Nat. Commun. 11, 193 (2020).
  8. B. Kim, H. Kurokawa, K. Sakai, K. Koshino, H. Kosaka, and M. Nomura, Diamond optomechanical cavity with a color center for coherent microwave-to-optical quantum interfaces, Phys. Rev. Appl. 20, 044037 (2023).
  9. F. Fung, E. Rosenfeld, J. D. Schaefer, A. Kabcenell, J. Gieseler, T. X. Zhou, T. Madhavan, N. Aslam, A. Yacoby, and M. D. Lukin, Toward programmable quantum processors based on spin qubits with mechanically mediated interactions and transport, Phys. Rev. Lett. 132, 263602 (2024).
  10. A. Iyer, Y. P. Kandel, W. Xu, J. M. Nichol, and W. H. Renninger, Coherent optical coupling to surface acoustic wave devices, Nat. Commun. 15, 3993 (2024).
  11. K. Kuruma, B. Pingault, C. Chia, M. Haas, G. D. Joe, D. R. Assumpcao, S. W. Ding, C. Jin, C. J. Xin, M. Yeh, N. Sinclair, and M. Lončar, Controlling interactions between high-frequency phonons and single quantum systems using phononic crystals, Nat. Phys. 21, 77 (2025).
  12. H. Raniwala, P. Anand, S. Krastanov, M. Eichenfield, M. Trusheim, and D. R. Englund, Spin-optomechanical cavity interfaces by deep subwavelength phonon-photon confinement, npj Quantum Inf. 11, 120 (2025).
  13. P. Rabl, S. J. Kolkowitz, F. H. L. Koppens, J. G. E. Harris, P. Zoller, and M. D. Lukin, A quantum spin transducer based on nanoelectromechanical resonator arrays, Nat. Phys. 6, 602 (2010).
  14. I. Yeo, P.-L. de Assis, A. Gloppe, E. Dupont-Ferrier, P. Verlot, N. S. Malik, E. Dupuy, J. Claudon, J.-M. Gérard, A. Auffèves, G. Nogues, S. Seidelin, J.-P. Poizat, O. Arcizet, and M. Richard, Strain-mediated coupling in a quantum dot-mechanical oscillator hybrid system, Nat. Nanotechnol. 9, 106 (2014).
  15. F. J. R. Schülein, E. Zallo, P. Atkinson, O. G. Schmidt, R. Trotta, A. Rastelli, A. Wixforth, and H. J. Krenner, Fourier synthesis of radiofrequency nanomechanical pulses with different shapes, Nat. Nanotechnol. 10, 512 (2015).
  16. M. Weiß and H. J. Krenner, Interfacing quantum emitters with propagating surface acoustic waves, J. Phys. D: Appl. Phys. 51, 373001 (2018).
  17. D. Wigger, M. Weiß, M. Lienhart, K. Müller, J. J. Finley, T. Kuhn, H. J. Krenner, and P. Machnikowski, Resonance-fluorescence spectral dynamics of an acoustically modulated quantum dot, Phys. Rev. Res. 3, 033197 (2021).
  18. R. A. DeCrescent, Z. Wang, P. Imany, R. C. Boutelle, C. A. McDonald, T. Autry, J. D. Teufel, S. W. Nam, R. P. Mirin, and K. L. Silverman, Large single-phonon optomechanical coupling between quantum dots and tightly confined surface acoustic waves in the quantum regime, Phys. Rev. Appl. 18, 034067 (2022).
  19. C. Spinnler, G. N. Nguyen, Y. Wang, L. Zhai, A. Javadi, M. Erbe, S. Scholz, A. D. Wieck, A. Ludwig, P. Lodahl, L. Midolo, and R. J. Warburton, A single-photon emitter coupled to a phononic-crystal resonator in the resolved-sideband regime, Nat. Commun. 15, 9509 (2024).
  20. T. Descamps, T. Schetelat, J. Gao, P. J. Poole, D. Dalacu, A. W. Elshaari, and V. Zwiller, Acoustic modulation of individual nanowire quantum dots integrated into a hybrid thin-film lithium niobate photonic platform, Nano Lett. 24, 12493 (2024).
  21. U. von Lüpke, I. C. Rodrigues, Y. Yang, M. Fadel, and Y. Chu, Engineering multimode interactions in circuit quantum acoustodynamics, Nat. Phys. 20, 564 (2024).
  22. Y. W. Chu, P. Kharel, W. H. Renninger, L. D. Burkhart, L. Frunzio, P. T. Rakich, and R. J. Schoelkopf, Quantum acoustics with superconducting qubits, Science 358, 199 (2017).
  23. A. Bienfait, K. J. Satzinger, Y. P. Zhong, H.-S. Chang, M.-H. Chou, C. R. Conner, É. Dumur, J. Grebel, G. A. Peairs, R. G. Povey, and A. N. Cleland, Phonon-mediated quantum state transfer and remote qubit entanglement, Science 364, 368 (2019).
  24. M. Kounalakis, Y. M. Blanter, and G. A. Steele, Synthesizing multi-phonon quantum superposition states using flux-mediated three-body interactions with superconducting qubits, npj Quantum Inf. 5, 100 (2019).
  25. J. M. Kitzman, J. R. Lane, C. Undershute, P. M. Harrington, N. R. Beysengulov, C. A. Mikolas, K. W. Murch, and J. Pollanen, Phononic bath engineering of a superconducting qubit, Nat. Commun. 14, 3910 (2023).
  26. W. J. M. Franse, C. A. Potts, V. A. S. V. Bittencourt, A. Metelmann, and G. A. Steele, High-coherence quantum acoustics with planar superconducting qubits, Appl. Phys. Lett. 125, 183501 (2024).
  27. P.-B. Li, Y. Zhou, W.-B. Gao, and F. Nori, Enhancing spin-phonon and spin-spin interactions using linear resources in a hybrid quantum system, Phys. Rev. Lett. 125, 153602 (2020).
  28. Y. Zhou, C.-S. Hu, D.-Y. Lü, X.-K. Li, H.-M. Huang, Y.-C. Xiong, and X.-Y. Lü, Synergistic enhancement of spin–phonon interaction in a hybrid system, Photonics Res. 10, 1640 (2022).
  29. K. W. Lee, D. Lee, P. Ovartchaiyapong, J. Minguzzi, J. R. Maze, and A. C. Bleszynski Jayich, Strain coupling of a mechanical resonator to a single quantum emitter in diamond, Phys. Rev. Appl. 6, 034005 (2016).
  30. D. A. Golter, T. Oo, M. Amezcua, I. Lekavicius, K. A. Stewart, and H. L. Wang, Coupling a surface acoustic wave to an electron spin in diamond via a dark state, Phys. Rev. X 6, 041060 (2016).
  31. D. Lee, K. W. Lee, J. V. Cady, P. Ovartchaiyapong, and A. C. B. Jayich, Topical review: Spins and mechanics in diamond, J. Opt. 19, 033001 (2017).
  32. H. Y. Chen, E. R. MacQuarrie, and G. D. Fuchs, Orbital state manipulation of a diamond nitrogen-vacancy center using a mechanical resonator, Phys. Rev. Lett. 120, 167401 (2018).
  33. B. Pingault, J. N. Becker, C. H. H. Schulte, C. Arend, C. Hepp, T. Godde, A. I. Tartakovskii, M. Markham, C. Becher, and M. Atatüre, All-optical formation of coherent dark states of silicon-vacancy spins in diamond, Phys. Rev. Lett. 113, 263601 (2014).
  34. X.-L. Dong, P.-B. Li, T. Liu, and F. Nori, Unconventional quantum sound-matter interactions in spin-optomechanical-crystal hybrid systems, Phys. Rev. Lett. 126, 203601 (2021).
  35. X.-L. Dong, C.-P. Shen, S.-Y. Gao, H.-R. Li, H. Gao, F.-L. Li, and P.-B. Li, Chiral spin-phonon bound states and spin-spin interactions with phononic lattices, Phys. Rev. Res. 4, 023077 (2022).
  36. A. L. Falk, B. B. Buckley, G. Calusine, W. F. Koehl, V. V. Dobrovitski, A. Politi, C. A. Zorman, P. X. -L. Feng, and D. D. Awschalom, Polytype control of spin qubits in silicon carbide, Nat. Commun. 4, 1819 (2013).
  37. M. S. J. Barson, P. Peddibhotla, P. Ovartchaiyapong, K. Ganesan, R. L. Taylor, M. Gebert, Z. Mielens, B. Koslowski, D. A. Simpson, L. P. McGuinness, J. McCallum, S. Prawer, S. Onoda, T. Ohshima, A. C. Bleszynski Jayich, F. Jelezko, N. B. Manson, and M. W. Doherty, Nanomechanical sensing using spins in diamond, Nano Lett. 17, 1496 (2017).
  38. S. J. Whiteley, G. Wolfowicz, C. P. Anderson, A. Bourassa, H. Ma, M. Ye, G. Koolstra, K. J. Satzinger, M. V. Holt, F. J. Heremans, A. N. Cleland, D. I. Schuster, G. Galli, and D. D. Awschalom, Spin-phonon interactions in silicon carbide addressed by Gaussian acoustics, Nat. Phys. 15, 490 (2019).
  39. Y. I. Sohn, S. Meesala, B. Pingault, H. A. Atikian, J. Holzgrafe, M. Gündoğan, C. Stavrakas, M. J. Stanley, A. Sipahigil, J. Choi, M. Zhang, J. L. Pacheco, J. Abraham, E. Bielejec, M. D. Lukin, M. Atatüre, and M. Lončar, Controlling the coherence of a diamond spin qubit through its strain environment, Nat. Commun. 9, 2012 (2018).
  40. K. V. Kepesidis, M. A. Lemonde, A. Norambuena, J. R. Maze, and P. Rabl, Cooling phonons with phonons: Acoustic reservoir-engineering with silicon-vacancy centers in diamond, Phys. Rev. B 94, 214115 (2016).
  41. S. Meesala, Y. I. Sohn, B. Pingault, L. Shao, H. A. Atikian, J. Holzgrafe, M. Gündoğan, C. Stavrakas, A. Sipahigil, C. Chia, R. Evans, M. J. Burek, M. Zhang, L. Wu, J. L. Pacheco, J. Abraham, E. Bielejec, M. D. Lukin, M. Atatüre, and M. Lončar, Strain engineering of the silicon-vacancy center in diamond, Phys. Rev. B 97, 205444 (2018).
  42. M. S. Kushwaha, P. Halevi, G. Martínez, L. Dobrzynski, and B. Djafari-Rouhani, Theory of acoustic band structure of periodic elastic composites, Phys. Rev. B 49, 2313 (1994).
  43. M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, Optomechanical crystals, Nature (London) 462, 78 (2009).
  44. C. Monroe and J. Kim, Scaling the ion trap quantum processor, Science 339, 1164 (2013).
  45. D. Hatanaka, I. Mahboob, K. Onomitsu, and H. Yamaguchi, Phonon waveguides for electromechanical circuits, Nat. Nanotechnol. 9, 520 (2014).
  46. A. Sipahigil, R. E. Evans, D. D. Sukachev, M. J. Burek, J. Borregaard, M. K. Bhaskar, C. T. Nguyen, J. L. Pacheco, H. A. Atikian, C. Meuwly, R. M. Camacho, F. Jelezko, E. Bielejec, H. Park, M. Lončar, and M. D. Lukin, An integrated diamond nanophotonics platform for quantum-optical networks, Science 354, 847 (2016).
  47. R. E. Evans, M. K. Bhaskar, D. D. Sukachev, C. T. Nguyen, A. Sipahigil, M. J. Burek, B. Machielse, G. H. Zhang, A. S. Zibrov, E. Bielejec, H. Park, M. Lončar, and M. D. Lukin, Photon-mediated interactions between quantum emitters in a diamond nanocavity, Science 362, 662 (2018).
  48. C. Hepp, T. Müller, V. Waselowski, J. N. Becker, B. Pingault, H. Sternschulte, D. Steinmüller-Nethl, A. Gali, J. R. Maze, M. Atatüre, and C. Becher, Electronic structure of the silicon vacancy color center in diamond, Phys. Rev. Lett. 112, 036405 (2014).
  49. C. Hepp, Electronic structure of the silicon vacancy color center in diamond, Ph.D. thesis, University of Saarland, 2014.
  50. A. N. Cleland, Foundations of Nanomechanics (Springer, Germany, 2002).
  51. J.-Q. Chen, Y.-F. Qiao, X.-L. Dong, X.-L. Hei, and P.-B. Li, Dissipation-assisted preparation of steady spin-squeezed states of SiV centers, Phys. Rev. A 103, 013709 (2021).
  52. J. R. Schrieffer and P. A. Wolff, Relation between the Anderson and Kondo Hamiltonians, Phys. Rev. 149, 491 (1966).
  53. J. Chan, A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, and O. Painter, Optimized optomechanical crystal cavity with acoustic radiation shield, Appl. Phys. Lett. 101, 081115 (2012).
  54. M. J. Burek, J. D. Cohen, S. M. Meenehan, N. El-Sawah, C. Chia, T. Ruelle, S. Meesala, J. Rochman, H. A. Atikian, M. Markham, D. J. Twitchen, M. D. Lukin, O. Painter, and M. Lončar, Diamond optomechanical crystals, Optica 3, 1404 (2016).
  55. G. S. MacCabe, H. Ren, J. Luo, J. D. Cohen, H. Zhou, A. Sipahigil, M. Mirhosseini, and O. Painter, Nano-acoustic resonator with ultralong phonon lifetime, Science 370, 840 (2020).
  56. D. S. Levonian, R. Riedinger, B. Machielse, E. N. Knall, M. K. Bhaskar, C. M. Knaut, R. Bekenstein, H. Park, M. Lončar, and M. D. Lukin, Optical entanglement of distinguishable quantum emitters, Phys. Rev. Lett. 128, 213602 (2022).
  57. P.-L. Yu, K. Cicak, N. S. Kampel, Y. Tsaturyan, T. P. Purdy, R. W. Simmonds, and C. A. Regal, A phononic bandgap shield for high-Q membrane microresonators, Appl. Phys. Lett. 104, 023510 (2014).
  58. R. N. Patel, Z. Y. Wang, W. Jiang, C. J. Sarabalis, J. T. Hill, and A. H. Safavi-Naeini, Single-mode phononic wire, Phys. Rev. Lett. 121, 040501 (2018).
  59. S. M. Meenehan, J. D. Cohen, G. S. MacCabe, F. Marsili, M. D. Shaw, and O. Painter, Pulsed excitation dynamics of an optomechanical crystal resonator near its quantum ground state of motion, Phys. Rev. X 5, 041002 (2015).
  60. Y. Tsaturyan, A. Barg, E. S. Polzik, and A. Schliesser, Ultracoherent nanomechanical resonators via soft clamping and dissipation dilution, Nat. Nanotechnol. 12, 776 (2017).
  61. G. Huang, A. Beccari, N. J. Engelsen, and T. J. Kippenberg, Room-temperature quantum optomechanics using an ultralow noise cavity, Nature (London) 626, 512 (2024).
  62. T. J. Clark, S. Bernard, J. Ma, V. Dumont, and J. C. Sankey, Optically defined phononic crystal defect, Phys. Rev. Lett. 133, 226904 (2024).
  63. C. H. Dong, Y. D. Wang, and H. L. Wang, Optomechanical interfaces for hybrid quantum networks, Natl. Sci. Rev. 2, 510 (2015).
  64. H.-K. Lau and A. A. Clerk, Ground-state cooling and high-fidelity quantum transduction via parametrically driven bad-cavity optomechanics, Phys. Rev. Lett. 124, 103602 (2020).
  65. J. Zhang, C. Zhu, C. Wolff, and B. Stiller, Quantum coherent control in pulsed waveguide optomechanics, Phys. Rev. Res. 5, 013010 (2023).
  66. B. Vermersch, P. O. Guimond, H. Pichler, and P. Zoller, Quantum state transfer via noisy photonic and phononic waveguides, Phys. Rev. Lett. 118, 133601 (2017).
  67. X.-X. Li, B. Li, and P.-B. Li, Simulation of topological phases with color center arrays in phononic crystals, Phys. Rev. Res. 2, 013121 (2020).
  68. D. D. Sukachev, A. Sipahigil, C. T. Nguyen, M. K. Bhaskar, R. E. Evans, F. Jelezko, and M. D. Lukin, Silicon-vacancy spin qubit in diamond: A quantum memory exceeding 10 ms with single-shot state readout, Phys. Rev. Lett. 119, 223602 (2017).
  69. H. Ren, M. H. Matheny, G. S. MacCabe, J. Luo, H. Pfeifer, M. Mirhosseini, and O. Painter, Two-dimensional optomechanical crystal cavity with high quantum cooperativity, Nat. Commun. 11, 3373 (2020).
  70. Y. D. Wang and A. A. Clerk, Using dark modes for high-fidelity optomechanical quantum state transfer, New J. Phys. 14, 105010 (2012).
  71. A. Uhlmann, The transition probability in the state space of a *-algebra, Rep. Math. Phys. 9, 273 (1976).

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Phys. Rev. Research 8, 043147– Published 9 November, 2026
  • Received 2 December 2025
  • Accepted 19 October 2026
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