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Nonreciprocal interaction and entanglement between two superconducting qubits

Yu-Meng Ren, Xue-Feng Pan, Xiao-Yu Yao, Xiao-Wen Huo, Jun-Cong Zheng, Xin-Lei Hei, Yi-Fan Qiao, and Peng-Bo Li*

  • Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

  • *Contact author: lipengbo@mail.xjtu.edu.cn
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Phys. Rev. Research 7, 023287 – Published 20 June, 2025

DOI: https://doi.org/10.1103/213q-sqxf

Abstract

Nonreciprocal interaction between two spatially separated subsystems plays a crucial role in signal processing and quantum networks. Here, we propose an efficient scheme to achieve nonreciprocal interaction and entanglement between two qubits by combining coherent and dissipative couplings in a superconducting platform, where two coherently coupled transmon qubits simultaneously interact with a transmission line waveguide. The coherent interaction between the transmon qubits can be achieved via capacitive coupling or via an intermediary cavity mode, while the dissipative interaction is induced by the transmission line via reservoir engineering. With high tunability of superconducting qubits, their positions along the transmission line can be adjusted to tune the dissipative coupling, enabling to tailor reciprocal and nonreciprocal interactions between the qubits. A unidirectional interaction can be achieved when the separation between the two qubits is (4n+3)λ0/4, where n is an integer and λ0 is the photon wavelength. This nonreciprocal interaction enables the generation of nonreciprocal entanglement between the two transmon qubits. Furthermore, applying a drive field to one of the qubits can stabilize the system into a nonreciprocal steady-state entangled state. Remarkably, the nonreciprocal interaction in this work does not rely on the presence of nonlinearity or any explicitly nonreciprocal elements, which has more potential applications in designing nonreciprocal quantum devices, processing quantum information, and building quantum networks.

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References (153)

  1. D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baets, M. Popović, A. Melloni, J. D. Joannopoulos et al., What is—and what is not—an optical isolator, Nat. Photonics 7, 579 (2013).
  2. C. Caloz, A. Alù, S. Tretyakov, D. Sounas, K. Achouri, and Z.-L. Deck-Léger, Electromagnetic nonreciprocity, Phys. Rev. Appl. 10, 047001 (2018).
  3. H. Nassar, B. Yousefzadeh, R. Fleury, M. Ruzzene, A. Alù, C. Daraio, A. N. Norris, G. Huang, and M. R. Haberman, Nonreciprocity in acoustic and elastic materials, Nat. Rev. Mater. 5, 667 (2020).
  4. M.-X. Dong, K.-Y. Xia, W.-H. Zhang, Y.-C. Yu, Y.-H. Ye, E.-Z. Li, L. Zeng, D.-S. Ding, B.-S. Shi, G.-C. Guo, and F. Nori, All-optical reversible single-photon isolation at room temperature, Sci. Adv. 7, eabe8924 (2021).
  5. Z. Shen, Y.-L. Zhang, Y. Chen, F.-W. Sun, X.-B. Zou, G.-C. Guo, C.-L. Zou, and C.-H. Dong, Reconfigurable optomechanical circulator and directional amplifier, Nat. Commun. 9, 1797 (2018).
  6. H. Xu, L. Jiang, A. A. Clerk, and J. G. E. Harris, Nonreciprocal control and cooling of phonon modes in an optomechanical system, Nature (London) 568, 65 (2019).
  7. Z. Shen, Y.-L. Zhang, Y. Chen, Y.-F. Xiao, C.-L. Zou, G.-C. Guo, and C.-H. Dong, Nonreciprocal frequency conversion and mode routing in a microresonator, Phys. Rev. Lett. 130, 013601 (2023).
  8. S.-T. Huang, Y.-B. Qian, Z.-Y. Zhang, L. Sun, B.-P. Hou, and L. Tang, Nonreciprocal photon transport in a chiral optomechanical system, Adv. Quantum Technol. 7, 2400217 (2024).
  9. R.-T. Sun, M.-Y. Peng, T.-X. Lu, J. Wang, Q. Zhang, Y.-F. Jiao, and H. Jing, Multicolor nonreciprocal optical amplifier with spinning active optomechanics, Phys. Rev. A 109, 023520 (2024).
  10. C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O'Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Nanophotonic optical isolator controlled by the internal state of cold atoms, Phys. Rev. X 5, 041036 (2015).
  11. M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, Quantum optical circulator controlled by a single chirally coupled atom, Science 354, 1577 (2016).
  12. P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Chiral quantum optics, Nature (London) 541, 473 (2017).
  13. D. L. Hurst, D. M. Price, C. Bentham, M. N. Makhonin, B. Royall, E. Clarke, P. Kok, L. R. Wilson, M. S. Skolnick, and A. M. Fox, Nonreciprocal transmission and reflection of a chirally coupled quantum dot, Nano Lett. 18, 5475 (2018).
  14. S. Zhang, Y. Hu, G. Lin, Y. Niu, K. Xia, J. Gong, and S. Gong, Thermal-motion-induced non-reciprocal quantum optical system, Nat. Photonics 12, 744 (2018).
  15. K. Xia, F. Nori, and M. Xiao, Cavity-free optical isolators and circulators using a chiral cross-Kerr nonlinearity, Phys. Rev. Lett. 121, 203602 (2018).
  16. S. Guddala, Y. Kawaguchi, F. Komissarenko, S. Kiriushechkina, A. Vakulenko, K. Chen, A. Alù, V. M. Menon, and A. B. Khanikaev, All-optical nonreciprocity due to valley polarization pumping in transition metal dichalcogenides, Nat. Commun. 12, 3746 (2021).
  17. A. D. White, G. H. Ahn, R. Luhtaru, J. Guo, T. J. Morin, A. Saxena, L. Chang, A. Majumdar, K. Van Gasse, J. E. Bowers et al., Unified laser stabilization and isolation on a silicon chip, Nat. Photonics 18, 1305 (2024).
  18. G. Lin, S. Zhang, Y. Hu, Y. Niu, J. Gong, and S. Gong, Nonreciprocal amplification with four-level hot atoms, Phys. Rev. Lett. 123, 033902 (2019).
  19. C. Liang, B. Liu, A.-N. Xu, X. Wen, C. Lu, K. Xia, M. K. Tey, Y.-C. Liu, and L. You, Collision-induced broadband optical nonreciprocity, Phys. Rev. Lett. 125, 123901 (2020).
  20. F. Song, Z. Wang, E. Li, B. Yu, and Z. Huang, Nonreciprocity with structured light using optical pumping in hot atoms, Phys. Rev. Appl. 18, 024027 (2022).
  21. S. Zhang, Y. Zhan, S. Gong, and Y. Niu, Noiseless single-photon isolator at room temperature, Commun. Phys. 6, 33 (2023).
  22. L. Mercier de Lépinay, C. F. Ockeloen-Korppi, D. Malz, and M. A. Sillanpää, Nonreciprocal transport based on cavity floquet modes in optomechanics, Phys. Rev. Lett. 125, 023603 (2020).
  23. J. Ma, J. Wen, S. Ding, S. Li, Y. Hu, X. Jiang, L. Jiang, and M. Xiao, Chip-based optical isolator and nonreciprocal parity-time symmetry induced by stimulated Brillouin scattering, Laser Photonics Rev. 14, 1900278 (2020).
  24. Y. Kawaguchi, M. Li, K. Chen, V. Menon, A. Alù, and A. B. Khanikaev, Optical isolator based on chiral light-matter interactions in a ring resonator integrating a dichroic magneto-optical material, Appl. Phys. Lett. 118, 241104 (2021).
  25. D. B. Sohn, O. E. Örsel, and G. Bahl, Electrically driven optical isolation through phonon-mediated photonic Autler-Townes splitting, Nat. Photonics 15, 822 (2021).
  26. M. Yu, R. Cheng, C. Reimer, L. He, K. Luke, E. Puma, L. Shao, A. Shams-Ansari, X. Ren, H. R. Grant et al., Integrated electro-optic isolator on thin-film lithium niobate, Nat. Photonics 17, 666 (2023).
  27. A. D. White, G. H. Ahn, K. V. Gasse, K. Y. Yang, L. Chang, J. E. Bowers, and J. Vučković, Integrated passive nonlinear optical isolators, Nat. Photonics 17, 143 (2023).
  28. H. Wu, J. Tang, M. Chen, M. Xiao, Y. Lu, K. Xia, and F. Nori, Passive magnetic-free broadband optical isolator based on unidirectional self-induced transparency, Opt. Express 32, 11010 (2024).
  29. E. I. Rosenthal, B. J. Chapman, A. P. Higginbotham, J. Kerckhoff, and K. W. Lehnert, Breaking Lorentz reciprocity with frequency conversion and delay, Phys. Rev. Lett. 119, 147703 (2017).
  30. B. J. Chapman, E. I. Rosenthal, J. Kerckhoff, B. A. Moores, L. R. Vale, J. A. B. Mates, G. C. Hilton, K. Lalumière, A. Blais, and K. W. Lehnert, Widely tunable on-chip microwave circulator for superconducting quantum circuits, Phys. Rev. X 7, 041043 (2017).
  31. J. Wang, J. F. Herrmann, J. D. Witmer, A. H. Safavi-Naeini, and S. Fan, Photonic modal circulator using temporal refractive-index modulation with spatial inversion symmetry, Phys. Rev. Lett. 126, 193901 (2021).
  32. J. F. Herrmann, V. Ansari, J. Wang, J. D. Witmer, S. Fan, and A. H. Safavi-Naeini, Mirror symmetric on-chip frequency circulation of light, Nat. Photonics 16, 603 (2022).
  33. R. Navarathna, D. T. Le, A. R. Hamann, H. D. Nguyen, T. M. Stace, and A. Fedorov, Passive superconducting circulator on a chip, Phys. Rev. Lett. 130, 037001 (2023).
  34. A. Fedorov, N. P. Kumar, D. T. Le, R. Navarathna, P. Pakkiam, and T. M. Stace, Nonreciprocity and circulation in a passive Josephson-junction ring, Phys. Rev. Lett. 132, 097001 (2024).
  35. K. Srinivasan and B. J. Stadler, Review of integrated magneto-optical isolators with rare-earth iron garnets for polarization diverse and magnet-free isolation in silicon photonics, Opt. Mater. Express 12, 697 (2022).
  36. W. Yang, J. Qin, J. Long, W. Yan, Y. Yang, C. Li, E. Li, J. Hu, L. Deng, Q. Du, and L. Bi, A self-biased non-reciprocal magnetic metasurface for bidirectional phase modulation, Nat. Electron. 6, 225 (2023).
  37. W. Yan, Z. Wei, Y. Yang, D. Wu, Z. Zhang, X. Song, J. Qin, and L. Bi, Ultra-broadband magneto-optical isolators and circulators on a silicon nitride photonics platform, Optica 11, 376 (2024).
  38. D. L. Sounas and A. Alù, Non-reciprocal photonics based on time modulation, Nat. Photonics 11, 774 (2017).
  39. Y. Wang, B. Yousefzadeh, H. Chen, H. Nassar, G. Huang, and C. Daraio, Observation of nonreciprocal wave propagation in a dynamic phononic lattice, Phys. Rev. Lett. 121, 194301 (2018).
  40. X. Guo, Y. Ding, Y. Duan, and X. Ni, Nonreciprocal metasurface with space-time phase modulation, Light Sci. Appl. 8, 123 (2019).
  41. J. Li, C. Shen, X. Zhu, Y. Xie, and S. A. Cummer, Nonreciprocal sound propagation in space-time modulated media, Phys. Rev. B 99, 144311 (2019).
  42. C. W. Peterson, W. A. Benalcazar, M. Lin, T. L. Hughes, and G. Bahl, Strong nonreciprocity in modulated resonator chains through synthetic electric and magnetic fields, Phys. Rev. Lett. 123, 063901 (2019).
  43. X. Xu, Q. Wu, H. Chen, H. Nassar, Y. Chen, A. Norris, M. R. Haberman, and G. Huang, Physical observation of a robust acoustic pumping in waveguides with dynamic boundary, Phys. Rev. Lett. 125, 253901 (2020).
  44. X. Wang, G. Ptitcyn, V. S. Asadchy, A. Díaz-Rubio, M. S. Mirmoosa, S. Fan, and S. A. Tretyakov, Nonreciprocity in bianisotropic systems with uniform time modulation, Phys. Rev. Lett. 125, 266102 (2020).
  45. Z. Chen, Y. Peng, H. Li, J. Liu, Y. Ding, B. Liang, X.-F. Zhu, Y. Lu, J. Cheng, and A. Alù, Efficient nonreciprocal mode transitions in spatiotemporally modulated acoustic metamaterials, Sci. Adv. 7, eabj1198 (2021).
  46. S. Wan, L. Cao, Y. Zeng, T. Guo, M. Oudich, and B. Assouar, Low-frequency nonreciprocal flexural wave propagation via compact cascaded time-modulated resonators, Appl. Phys. Lett. 120, 231701 (2022).
  47. S. Tessier Brothelande, C. Croënne, F. Allein, J. O. Vasseur, M. Amberg, F. Giraud, and B. Dubus, Experimental evidence of nonreciprocal propagation in space-time modulated piezoelectric phononic crystals, Appl. Phys. Lett. 123, 201701 (2023).
  48. J. Sisler, P. Thureja, M. Y. Grajower, R. Sokhoyan, I. Huang, and H. A. Atwater, Electrically tunable space-time metasurfaces at optical frequencies, Nat. Nanotechnol. 19, 1491 (2024).
  49. A. Rosario Hamann, C. Müller, M. Jerger, M. Zanner, J. Combes, M. Pletyukhov, M. Weides, T. M. Stace, and A. Fedorov, Nonreciprocity realized with quantum nonlinearity, Phys. Rev. Lett. 121, 123601 (2018).
  50. P. Yang, X. Xia, H. He, S. Li, X. Han, P. Zhang, G. Li, P. Zhang, J. Xu, Y. Yang, and T. Zhang, Realization of nonlinear optical nonreciprocity on a few-photon level based on atoms strongly coupled to an asymmetric cavity, Phys. Rev. Lett. 123, 233604 (2019).
  51. R. Duggan, D. Sounas, and A. Alù, Optically driven effective Faraday effect in instantaneous nonlinear media, Optica 6, 1152 (2019).
  52. T. Guo and C. Argyropoulos, Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces, Phys. Rev. B 106, 235418 (2022).
  53. J.-S. Tang, W. Nie, L. Tang, M. Chen, X. Su, Y. Lu, F. Nori, and K. Xia, Nonreciprocal single-photon band structure, Phys. Rev. Lett. 128, 203602 (2022).
  54. J. Gückelhorn, S. de-la Peña, M. Scheufele, M. Grammer, M. Opel, S. Geprägs, J. C. Cuevas, R. Gross, H. Huebl, A. Kamra, and M. Althammer, Observation of the nonreciprocal magnon Hanle effect, Phys. Rev. Lett. 130, 216703 (2023).
  55. C.-P. Shen, J.-Q. Chen, X.-F. Pan, Y.-M. Ren, X.-L. Dong, X.-L. Hei, Y.-F. Qiao, and P.-B. Li, Tunable nonreciprocal photon correlations induced by directional quantum squeezing, Phys. Rev. A 108, 023716 (2023).
  56. S. E. Begg and R. Hanai, Quantum criticality in open quantum spin chains with nonreciprocity, Phys. Rev. Lett. 132, 120401 (2024).
  57. Y. Zhou, F. Ruesink, S. Gertler, H. Cheng, M. Pavlovich, E. Kittlaus, A. L. Starbuck, A. J. Leenheer, A. T. Pomerene, D. C. Trotter et al., Nonreciprocal dissipation engineering via strong coupling with a continuum of modes, Phys. Rev. X 14, 021002 (2024).
  58. M. Reisenbauer, H. Rudolph, L. Egyed, K. Hornberger, A. V. Zasedatelev, M. Abuzarli, B. A. Stickler, and U. Delić, Non-hermitian dynamics and non-reciprocity of optically coupled nanoparticles, Nat. Phys. 20, 1629 (2024).
  59. Z.-H. Li, L.-L. Zheng, G.-L. Zhu, Y. Wu, and X.-Y. Lü, Periodically nonreciprocal transmission and entanglement in a non-Hermitian topological phase, Phys. Rev. A 110, 013515 (2024).
  60. H. Wang, Y.-J. Zhao, and X.-W. Xu, Controllable non-Hermitian qubit-qubit coupling in superconducting quantum circuit, APL Quantum 1, 046125 (2024).
  61. H. Rudolph, U. c. v. Delić, K. Hornberger, and B. A. Stickler, Quantum optical binding of nanoscale particles, Phys. Rev. Lett. 133, 233603 (2024).
  62. Y.-F. Jiao, S.-D. Zhang, Y.-L. Zhang, A. Miranowicz, L.-M. Kuang, and H. Jing, Nonreciprocal optomechanical entanglement against backscattering losses, Phys. Rev. Lett. 125, 143605 (2020).
  63. J. Chen, X.-G. Fan, W. Xiong, D. Wang, and L. Ye, Nonreciprocal entanglement in cavity-magnon optomechanics, Phys. Rev. B 108, 024105 (2023).
  64. R. Huang, A. Miranowicz, J.-Q. Liao, F. Nori, and H. Jing, Nonreciprocal photon blockade, Phys. Rev. Lett. 121, 153601 (2018).
  65. B. Li, Y. Zuo, L.-M. Kuang, H. Jing, and C. Lee, Loss-induced quantum nonreciprocity, npj Quantum Inf. 10, 75 (2024).
  66. X.-Y. Yao, H. Ali, F.-L. Li, and P.-B. Li, Nonreciprocal phonon blockade in a spinning acoustic ring cavity coupled to a two-level system, Phys. Rev. Appl. 17, 054004 (2022).
  67. W. Zhang, T. Wang, S. Liu, S. Zhang, and H.-F. Wang, Nonreciprocal photon blockade in a spinning resonator coupled to two two-level atoms, Sci. China Phys. Mech. Astron. 66, 240313 (2023).
  68. M. Fruchart, R. Hanai, P. B. Littlewood, and V. Vitelli, Non-reciprocal phase transitions, Nature (London) 592, 363 (2021).
  69. E. I. R. Chiacchio, A. Nunnenkamp, and M. Brunelli, Nonreciprocal Dicke model, Phys. Rev. Lett. 131, 113602 (2023).
  70. G.-L. Zhu, C.-S. Hu, H. Wang, W. Qin, X.-Y. Lü, and F. Nori, Nonreciprocal superradiant phase transitions and multicriticality in a cavity QED system, Phys. Rev. Lett. 132, 193602 (2024).
  71. D.-G. Lai, A. Miranowicz, and F. Nori, Nonreciprocal topological phonon transfer independent of both device mass and exceptional-point encircling direction, Phys. Rev. Lett. 132, 243602 (2024).
  72. Q. Bin, H. Jing, Y. Wu, F. Nori, and X.-Y. Lü, Nonreciprocal bundle emissions of quantum entangled pairs, Phys. Rev. Lett. 133, 043601 (2024).
  73. A. Metelmann and A. A. Clerk, Nonreciprocal photon transmission and amplification via reservoir engineering, Phys. Rev. X 5, 021025 (2015).
  74. K. Fang, J. Luo, A. Metelmann, M. H. Matheny, F. Marquardt, A. A. Clerk, and O. Painter, Generalized non-reciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering, Nat. Phys. 13, 465 (2017).
  75. X. Lu, W. Cao, W. Yi, H. Shen, and Y. Xiao, Nonreciprocity and quantum correlations of light transport in hot atoms via reservoir engineering, Phys. Rev. Lett. 126, 223603 (2021).
  76. Y.-P. Wang, J. W. Rao, Y. Yang, P.-C. Xu, Y. S. Gui, B. M. Yao, J. Q. You, and C.-M. Hu, Nonreciprocity and unidirectional invisibility in cavity magnonics, Phys. Rev. Lett. 123, 127202 (2019).
  77. X. Huang, C. Lu, C. Liang, H. Tao, and Y.-C. Liu, Loss-induced nonreciprocity, Light Sci. Appl. 10, 30 (2021).
  78. X.-F. Pan, P.-B. Li, X.-L. Hei, X. Zhang, M. Mochizuki, F.-L. Li, and F. Nori, Magnon-skyrmion hybrid quantum systems: Tailoring interactions via magnons, Phys. Rev. Lett. 132, 193601 (2024).
  79. B. Ahmadi, P. Mazurek, P. Horodecki, and S. Barzanjeh, Nonreciprocal quantum batteries, Phys. Rev. Lett. 132, 210402 (2024).
  80. S. Wehner, D. Elkouss, and R. Hanson, Quantum internet: A vision for the road ahead, Science 362, eaam9288 (2018).
  81. Z.-L. Xiang, S. Ashhab, J. Q. You, and F. Nori, Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems, Rev. Mod. Phys. 85, 623 (2013).
  82. A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, and A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys. 95, 015002 (2023).
  83. D. E. Chang, J. S. Douglas, A. González-Tudela, C.-L. Hung, and H. J. Kimble, Colloquium: Quantum matter built from nanoscopic lattices of atoms and photons, Rev. Mod. Phys. 90, 031002 (2018).
  84. 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).
  85. A. González-Tudela, V. Paulisch, H. J. Kimble, and J. I. Cirac, Efficient multiphoton generation in waveguide quantum electrodynamics, Phys. Rev. Lett. 118, 213601 (2017).
  86. N. V. Corzo, J. Raskop, A. Chandra, A. S. Sheremet, B. Gouraud, and J. Laurat, Waveguide-coupled single collective excitation of atomic arrays, Nature (London) 566, 359 (2019).
  87. Z. Wang, T. Jaako, P. Kirton, and P. Rabl, Supercorrelated radiance in nonlinear photonic waveguides, Phys. Rev. Lett. 124, 213601 (2020).
  88. S.-Y. Bai and J.-H. An, Generating stable spin squeezing by squeezed-reservoir engineering, Phys. Rev. Lett. 127, 083602 (2021).
  89. R. Pennetta, M. Blaha, A. Johnson, D. Lechner, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Collective radiative dynamics of an ensemble of cold atoms coupled to an optical waveguide, Phys. Rev. Lett. 128, 073601 (2022).
  90. W. Nie, T. Shi, Y.-x. Liu, and F. Nori, Non-Hermitian waveguide cavity QED with tunable atomic mirrors, Phys. Rev. Lett. 131, 103602 (2023).
  91. P. Türschmann, N. Rotenberg, J. Renger, I. Harder, O. Lohse, T. Utikal, S. Götzinger, and V. Sandoghdar, Chip-based all-optical control of single molecules coherently coupled to a nanoguide, Nano Lett. 17, 4941 (2017).
  92. X.-L. Chu, C. Papon, N. Bart, A. D. Wieck, A. Ludwig, L. Midolo, N. Rotenberg, and P. Lodahl, Independent electrical control of two quantum dots coupled through a photonic-crystal waveguide, Phys. Rev. Lett. 131, 033606 (2023).
  93. A. Tiranov, V. Angelopoulou, C. J. van Diepen, B. Schrinski, O. A. Dall'Alba Sandberg, Y. Wang, L. Midolo, S. Scholz, A. D. Wieck, A. Ludwig et al., Collective super- and subradiant dynamics between distant optical quantum emitters, Science 379, 389 (2023).
  94. M. J. Burek, C. Meuwly, R. E. Evans, M. K. Bhaskar, A. Sipahigil, S. Meesala, B. Machielse, D. D. Sukachev, C. T. Nguyen, J. L. Pacheco et al., Fiber-coupled diamond quantum nanophotonic interface, Phys. Rev. Appl. 8, 024026 (2017).
  95. M. K. Bhaskar, D. D. Sukachev, A. Sipahigil, R. E. Evans, M. J. Burek, C. T. Nguyen, L. J. Rogers, P. Siyushev, M. H. Metsch, H. Park et al., Quantum nonlinear optics with a germanium-vacancy color center in a nanoscale diamond waveguide, Phys. Rev. Lett. 118, 223603 (2017).
  96. 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).
  97. N. M. Sundaresan, R. Lundgren, G. Zhu, A. V. Gorshkov, and A. A. Houck, Interacting qubit-photon bound states with superconducting circuits, Phys. Rev. X 9, 011021 (2019).
  98. Y. Matsuzaki, V. M. Bastidas, Y. Takeuchi, W. J. Munro, and S. Saito, One-way transfer of quantum states via decoherence, J. Phys. Soc. Jpn. 89, 044003 (2020).
  99. E. S. Redchenko, A. V. Poshakinskiy, R. Sett, M. Žemlička, A. N. Poddubny, and J. M. Fink, Tunable directional photon scattering from a pair of superconducting qubits, Nat. Commun. 14, 2998 (2023).
  100. C. Joshi, F. Yang, and M. Mirhosseini, Resonance fluorescence of a chiral artificial atom, Phys. Rev. X 13, 021039 (2023).
  101. X. Wang, T. Liu, A. F. Kockum, H.-R. Li, and F. Nori, Tunable chiral bound states with giant atoms, Phys. Rev. Lett. 126, 043602 (2021).
  102. X.-L. Yin and J.-Q. Liao, Generation of two-giant-atom entanglement in waveguide-QED systems, Phys. Rev. A 108, 023728 (2023).
  103. X. Zhang, C. Liu, Z. Gong, and Z. Wang, Quantum interference and controllable magic cavity QED via a giant atom in a coupled resonator waveguide, Phys. Rev. A 108, 013704 (2023).
  104. D.-W. Wang, C. Zhao, Y.-T. Yan, J. Yang, Z. Wang, and L. Zhou, Topology-dependent giant-atom interaction in a topological waveguide QED system, Phys. Rev. A 109, 053720 (2024).
  105. W. Gu, L. Chen, Z. Yi, S. Liu, and G.-x. Li, Tunable photon-photon correlations in waveguide QED systems with giant atoms, Phys. Rev. A 109, 023720 (2024).
  106. A. F. van Loo, A. Fedorov, K. Lalumière, B. C. Sanders, A. Blais, and A. Wallraff, Photon-mediated interactions between distant artificial atoms, Science 342, 1494 (2013).
  107. M. Zanner, T. Orell, C. M. F. Schneider, R. Albert, S. Oleschko, M. L. Juan, M. Silveri, and G. Kirchmair, Coherent control of a multi-qubit dark state in waveguide quantum electrodynamics, Nat. Phys. 18, 538 (2022).
  108. M. Mirhosseini, E. Kim, X. Zhang, A. Sipahigil, P. B. Dieterle, A. J. Keller, A. Asenjo-Garcia, D. E. Chang, and O. Painter, Cavity quantum electrodynamics with atom-like mirrors, Nature (London) 569, 692 (2019).
  109. M. A. Aamir, C. C. Moreno, S. Sundelin, J. Biznárová, M. Scigliuzzo, K. E. Patel, A. Osman, D. P. Lozano, I. Strandberg, and S. Gasparinetti, Engineering symmetry-selective couplings of a superconducting artificial molecule to microwave waveguides, Phys. Rev. Lett. 129, 123604 (2022).
  110. N. Gheeraert, S. Kono, and Y. Nakamura, Programmable directional emitter and receiver of itinerant microwave photons in a waveguide, Phys. Rev. A 102, 053720 (2020).
  111. B. Kannan, A. Almanakly, Y. Sung, A. Di Paolo, D. A. Rower, J. Braumüller, A. Melville, B. M. Niedzielski, A. Karamlou, K. Serniak et al., On-demand directional microwave photon emission using waveguide quantum electrodynamics, Nat. Phys. 19, 394 (2023).
  112. A. Almanakly, B. Yankelevich, M. Hays, B. Kannan, R. Assouly, A. Greene, M. Gingras, B. M. Niedzielski, H. Stickler, M. E. Schwartz et al., Deterministic remote entanglement using a chiral quantum interconnect, Nature Phys. 21, 825 (2025).
  113. X. Gu, A. F. Kockum, A. Miranowicz, Y.-X. Liu, and F. Nori, Microwave photonics with superconducting quantum circuits, Phys. Rep. 718-719, 1 (2017).
  114. B. Kannan, M. J. Ruckriegel, D. L. Campbell, A. Frisk Kockum, J. Braumüller, D. K. Kim, M. Kjaergaard, P. Krantz, A. Melville, B. M. Niedzielski et al., Waveguide quantum electrodynamics with superconducting artificial giant atoms, Nature (London) 583, 775 (2020).
  115. J. Q. You and F. Nori, Atomic physics and quantum optics using superconducting circuits, Nature (London) 474, 589 (2011).
  116. C.-P. Yang, S.-I. Chu, and S. Han, Possible realization of entanglement, logical gates, and quantum-information transfer with superconducting-quantum-interference-device qubits in cavity QED, Phys. Rev. A 67, 042311 (2003).
  117. J. Q. You and F. Nori, Quantum information processing with superconducting qubits in a microwave field, Phys. Rev. B 68, 064509 (2003).
  118. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation, Phys. Rev. A 69, 062320 (2004).
  119. J. Q. You and F. Nori, Superconducting circuits and quantum information, Phys. Today 58(11), 42 (2005).
  120. Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Coherent control of macroscopic quantum states in a single-Cooper-pair box, Nature (London) 398, 786 (1999).
  121. P. Kurpiers, P. Magnard, T. Walter, B. Royer, M. Pechal, J. Heinsoo, Y. Salathé, A. Akin, S. Storz, J.-C. Besse et al., Deterministic quantum state transfer and remote entanglement using microwave photons, Nature (London) 558, 264 (2018).
  122. P. Magnard, S. Storz, P. Kurpiers, J. Schär, F. Marxer, J. Lütolf, T. Walter, J.-C. Besse, M. Gabureac, K. Reuer et al., Microwave quantum link between superconducting circuits housed in spatially separated cryogenic systems, Phys. Rev. Lett. 125, 260502 (2020).
  123. X. Ruan, J.-H. Wang, D. He, P. Song, S. Li, Q. Zhao, L. Kuang, J.-S. Tsai, C.-L. Zou, J. Zhang et al., Dynamics and resonance fluorescence from a superconducting artificial atom doubly driven by quantized and classical fields, Phys. Rev. Res. 6, 033064 (2024).
  124. X. Zhang, E. Kim, D. K. Mark, S. Choi, and O. Painter, A superconducting quantum simulator based on a photonic-bandgap metamaterial, Science 379, 278 (2023).
  125. G.-Q. Zhang, W. Feng, W. Xiong, D. Xu, Q.-P. Su, and C.-P. Yang, Generating Bell states and N-partite W states of long-distance qubits in superconducting waveguide QED, Phys. Rev. Appl. 20, 044014 (2023).
  126. K. Lalumière, B. C. Sanders, A. F. van Loo, A. Fedorov, A. Wallraff, and A. Blais, Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms, Phys. Rev. A 88, 043806 (2013).
  127. A. Irfan, M. Yao, A. Lingenfelter, X. Cao, A. A. Clerk, and W. Pfaff, Loss resilience of driven-dissipative remote entanglement in chiral waveguide quantum electrodynamics, Phys. Rev. Res. 6, 033212 (2024).
  128. J. Zou, S. Zhang, and Y. Tserkovnyak, Bell-state generation for spin qubits via dissipative coupling, Phys. Rev. B 106, L180406 (2022).
  129. L. C. G. Govia, A. Lingenfelter, and A. A. Clerk, Stabilizing two-qubit entanglement by mimicking a squeezed environment, Phys. Rev. Res. 4, 023010 (2022).
  130. A. González-Tudela and D. Porras, Mesoscopic entanglement induced by spontaneous emission in solid-state quantum optics, Phys. Rev. Lett. 110, 080502 (2013).
  131. Y.-F. Qiao, H.-Z. Li, X.-L. Dong, J.-Q. Chen, Y. Zhou, and P.-B. Li, Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers, Phys. Rev. A 101, 042313 (2020).
  132. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
  133. M. Reitz, C. Sommer, and C. Genes, Cooperative quantum phenomena in light-matter platforms, PRX Quantum 3, 010201 (2022).
  134. W. K. Wootters, Entanglement of formation of an arbitrary state of two qubits, Phys. Rev. Lett. 80, 2245 (1998).
  135. J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Charge-insensitive qubit design derived from the Cooper pair box, Phys. Rev. A 76, 042319 (2007).
  136. N. Nefedkin and A. Alù, Theory and analysis of nonreciprocity for superconducting qubits coupled to a waveguide, IEEE Trans. Microwave Theory Tech. 72, 2130 (2024).
  137. G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65, 032314 (2002).
  138. B. Kannan, D. L. Campbell, F. Vasconcelos, R. Winik, D. K. Kim, M. Kjaergaard, P. Krantz, A. Melville, B. M. Niedzielski, J. L. Yoder et al., Generating spatially entangled itinerant photons with waveguide quantum electrodynamics, Sci. Adv. 6, eabb8780 (2020).
  139. J. F. Marques, B. M. Varbanov, M. S. Moreira, H. Ali, N. Muthusubramanian, C. Zachariadis, F. Battistel, M. Beekman, N. Haider, W. Vlothuizen et al., Logical-qubit operations in an error-detecting surface code, Nat. Phys. 18, 80 (2022).
  140. J. Heinsoo, C. K. Andersen, A. Remm, S. Krinner, T. Walter, Y. Salathé, S. Gasparinetti, J.-C. Besse, A. Potočnik, A. Wallraff, and C. Eichler, Rapid high-fidelity multiplexed readout of superconducting qubits, Phys. Rev. Appl. 10, 034040 (2018).
  141. R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell et al., Superconducting quantum circuits at the surface code threshold for fault tolerance, Nature (London) 508, 500 (2014).
  142. D. Roy, C. M. Wilson, and O. Firstenberg, Colloquium: Strongly interacting photons in one-dimensional continuum, Rev. Mod. Phys. 89, 021001 (2017).
  143. K. J. Satzinger, Y. P. Zhong, H.-S. Chang, G. A. Peairs, A. Bienfait, M.-H. Chou, A. Y. Cleland, C. R. Conner, É. Dumur, J. Grebel et al., Quantum control of surface acoustic-wave phonons, Nature (London) 563, 661 (2018).
  144. C. Wang, X. Li, H. Xu, Z. Li, J. Wang, Z. Yang, Z. Mi, X. Liang, T. Su, C. Yang et al., Towards practical quantum computers: transmon qubit with a lifetime approaching 0.5 milliseconds, npj Quantum Inf. 8, 3 (2022).
  145. S. Ganjam, Y. Wang, Y. Lu, A. Banerjee, C. U. Lei, L. Krayzman, K. Kisslinger, C. Zhou, R. Li, Y. Jia et al., Surpassing millisecond coherence in on chip superconducting quantum memories by optimizing materials and circuit design, Nat. Commun. 15, 3687 (2024).
  146. Y. Zhong, H.-S. Chang, A. Bienfait, É. Dumur, M.-H. Chou, C. R. Conner, J. Grebel, R. G. Povey, H. Yan, D. I. Schuster, and A. N. Cleland, Deterministic multi-qubit entanglement in a quantum network, Nature (London) 590, 571 (2021).
  147. Y. Lu, A. Bengtsson, J. J. Burnett, E. Wiegand, B. Suri, P. Krantz, A. F. Roudsari, A. F. Kockum, S. Gasparinetti, G. Johansson et al., Characterizing decoherence rates of a superconducting qubit by direct microwave scattering, npj Quantum Inf. 7, 35 (2021).
  148. H.-L. Huang, D. Wu, D. Fan, and X. Zhu, Superconducting quantum computing: a review, Sci. China Inf. Sci. 63, 180501 (2020).
  149. P.-O. Guimond, B. Vermersch, M. L. Juan, A. Sharafiev, G. Kirchmair, and P. Zoller, A unidirectional on-chip photonic interface for superconducting circuits, npj Quantum Inf. 6, 32 (2020).
  150. D. Zhang and J.-S. Tsai, Magnetic-free traveling-wave nonreciprocal superconducting microwave components, Phys. Rev. Appl. 15, 064013 (2021).
  151. X. Wang, W.-X. Yang, A.-X. Chen, L. Li, T. Shui, X. Li, and Z. Wu, Phase-modulated single-photon nonreciprocal transport and directional router in a waveguide-cavity-emitter system beyond the chiral coupling, Quantum Sci. Technol. 7, 015025 (2022).
  152. A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
  153. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).

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Phys. Rev. Research 7, 023287– Published 20 June, 2025
  • Received 12 November 2024
  • Accepted 3 June 2025
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