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  • Letter
  • Open Access

Exponentially faster preparation of quantum dimers via driven-dissipative stabilization

Kian Hwee Lim1,*,†, Wai-Keong Mok2,*, Jia-Bin You3, Jian Feng Kong3, and Davit Aghamalyan3

  • *These authors contributed equally to this work.
  • †Contact author: kianhwee_lim@u.nus.edu

Phys. Rev. Research 6, L032047 – Published 29 August, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L032047

Abstract

We propose a rapid, high-fidelity, and noise-resistant scheme to generate many-body entanglement between multiple qubits stabilized by dissipation into a 1D bath. Using a carefully designed time-dependent drive, our scheme achieves a provably exponential speedup over state-of-the-art dissipative stabilization schemes in 1D baths, which require a timescale that diverges as the target fidelity approaches unity and scales exponentially with the number of qubits. To prepare quantum dimer pairs, our scheme only requires local 2-qubit control Hamiltonians, with a protocol time that is independent of system size. This provides a scalable and robust protocol for generating a large number of entangled dimer pairs on-demand, serving as a fundamental resource for many quantum metrology and quantum information processing tasks.

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References (55)

  1. M. A. Nielsen, and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, Cambridge, 2010).
  2. V. Giovannetti, S. Lloyd, and L. Maccone, Advances in quantum metrology, Nat. Photon. 5, 222 (2011).
  3. M. J. Kastoryano, F. Reiter, and A. S. Sørensen, Dissipative preparation of entanglement in optical cavities, Phys. Rev. Lett. 106, 090502 (2011).
  4. F. Reiter, M. J. Kastoryano, and A. S. Sørensen, Driving two atoms in an optical cavity into an entangled steady state using engineered decay, New J. Phys. 14, 053022 (2012).
  5. R. Sweke, I. Sinayskiy, and F. Petruccione, Dissipative preparation of large W states in optical cavities, Phys. Rev. A 87, 042323 (2013).
  6. S.-L. Su, X.-Q. Shao, H.-F. Wang, and S. Zhang, Scheme for entanglement generation in an atom-cavity system via dissipation, Phys. Rev. A 90, 054302 (2014).
  7. L.-T. Shen, X.-Y. Chen, Z.-B. Yang, H.-Z. Wu, and S.-B. Zheng, Steady-state entanglement for distant atoms by dissipation in coupled cavities, Phys. Rev. A 84, 064302 (2011).
  8. Y. Lin, J. Gaebler, F. Reiter, T. R. Tan, R. Bowler, A. Sørensen, D. Leibfried, and D. J. Wineland, Dissipative production of a maximally entangled steady state of two quantum bits, Nature (London) 504, 415 (2013).
  9. D. C. Cole, J. J. Wu, S. D. Erickson, P.-Y. Hou, A. C. Wilson, D. Leibfried, and F. Reiter, Dissipative preparation of W states in trapped ion systems, New J. Phys. 23, 073001 (2021).
  10. D. C. Cole, S. D. Erickson, G. Zarantonello, K. P. Horn, P.-Y. Hou, J. J. Wu, D. H. Slichter, F. Reiter, C. P. Koch, and D. Leibfried, Resource-efficient dissipative entanglement of two trapped-ion qubits, Phys. Rev. Lett. 128, 080502 (2022).
  11. R. Li, D. Yu, S.-L. Su, and J. Qian, Periodically driven facilitated high-efficiency dissipative entanglement with Rydberg atoms, Phys. Rev. A 101, 042328 (2020).
  12. X.-Q. Shao, J.-B. You, T.-Y. Zheng, C. H. Oh, and S. Zhang, Stationary three-dimensional entanglement via dissipative Rydberg pumping, Phys. Rev. A 89, 052313 (2014).
  13. Y.-H. Chen, Z.-C. Shi, J. Song, Y. Xia, and S.-B. Zheng, Accelerated and noise-resistant generation of high-fidelity steady-state entanglement with Rydberg atoms, Phys. Rev. A 97, 032328 (2018).
  14. D. D. B. Rao and K. Mølmer, Deterministic entanglement of Rydberg ensembles by engineered dissipation, Phys. Rev. A 90, 062319 (2014).
  15. 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).
  16. Z. Jin, S. L. Su, and S. Zhang, Preparation of a steady entangled state of two nitrogen-vacancy centers by simultaneously utilizing two dissipative factors, Phys. Rev. A 100, 052332 (2019).
  17. D. D. B. Rao, S. Yang, and J. Wrachtrup, Dissipative entanglement of solid-state spins in diamond, Phys. Rev. A 95, 022310 (2017).
  18. P.-B. Li, S.-Y. Gao, H.-R. Li, S.-L. Ma, and F.-L. Li, Dissipative preparation of entangled states between two spatially separated nitrogen-vacancy centers, Phys. Rev. A 85, 042306 (2012).
  19. Z. Leghtas, U. Vool, S. Shankar, M. Hatridge, S. M. Girvin, M. H. Devoret, and M. Mirrahimi, Stabilizing a Bell state of two superconducting qubits by dissipation engineering, Phys. Rev. A 88, 023849 (2013).
  20. F. Reiter, L. Tornberg, G. Johansson, and A. S. Sørensen, Steady-state entanglement of two superconducting qubits engineered by dissipation, Phys. Rev. A 88, 032317 (2013).
  21. T. Ramos, H. Pichler, A. J. Daley, and P. Zoller, Quantum spin dimers from chiral dissipation in cold-atom chains, Phys. Rev. Lett. 113, 237203 (2014).
  22. G. Kordas, S. Wimberger, and D. Witthaut, Dissipation-induced macroscopic entanglement in an open optical lattice, Europhys. Lett. 100, 30007 (2012).
  23. T. Botzung, S. Diehl, and M. Müller, Engineered dissipation induced entanglement transition in quantum spin chains: From logarithmic growth to area law, Phys. Rev. B 104, 184422 (2021).
  24. G. Morigi, J. Eschner, C. Cormick, Y. Lin, D. Leibfried, and D. J. Wineland, Dissipative quantum control of a spin chain, Phys. Rev. Lett. 115, 200502 (2015).
  25. G. D. de Moraes Neto, V. F. Teizen, V. Montenegro, and E. Vernek, Steady many-body entanglements in dissipative systems, Phys. Rev. A 96, 062313 (2017).
  26. H. Pichler, T. Ramos, A. J. Daley, and P. Zoller, Quantum optics of chiral spin networks, Phys. Rev. A 91, 042116 (2015).
  27. T. Ramos, B. Vermersch, P. Hauke, H. Pichler, and P. Zoller, Non-Markovian dynamics in chiral quantum networks with spins and photons, Phys. Rev. A 93, 062104 (2016).
  28. P. S. Shah, F. Yang, C. Joshi, and M. Mirhosseini, Stabilizing remote entanglement via waveguide dissipation, arXiv:2402.15701.
  29. R. Gutiérrez-Jáuregui, A. Asenjo-Garcia, and G. S. Agarwal, Dissipative stabilization of dark quantum dimers via squeezed vacuum, Phys. Rev. Res. 5, 013127 (2023).
  30. P. Groszkowski, M. Koppenhöfer, H.-K. Lau, and A. A. Clerk, Reservoir-engineered spin squeezing: Macroscopic even-odd effects and hybrid-systems implementations, Phys. Rev. X 12, 011015 (2022).
  31. D. Castells-Graells, D. Malz, C. C. Rusconi, and J. I. Cirac, Atomic waveguide QED with atomic dimers, Phys. Rev. A 104, 063707 (2021).
  32. W.-K. Mok, J.-B. You, L.-C. Kwek, and D. Aghamalyan, Microresonators enhancing long-distance dynamical entanglement generation in chiral quantum networks, Phys. Rev. A 101, 053861 (2020).
  33. W.-K. Mok, D. Aghamalyan, J.-B. You, T. Haug, W. Zhang, C. E. Png, and L.-C. Kwek, Long-distance dissipation-assisted transport of entangled states via a chiral waveguide, Phys. Rev. Res. 2, 013369 (2020).
  34. V. V. Albert and L. Jiang, Symmetries and conserved quantities in Lindblad master equations, Phys. Rev. A 89, 022118 (2014).
  35. D. Manzano and P. Hurtado, Harnessing symmetry to control quantum transport, Adv. Phys. 67, 1 (2018).
  36. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L032047 for (i) Liouvillian gap analysis of timescale for N=2; (ii) Derivation of the divergent timescale of preparing entangled dark states; (iii) Comparison between our scheme and counterdiabatic driving; (iv) Approximation of Hextra; (v) Effect of single spin spontaneous emission into free space on our protocol; (vi) Effect of unequal local light-matter coupling; and (vii) N=6 multimers. The Supplemental Material includes Refs. [53, 54, 55].
  37. J. Liu and H. Nie, Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization, Phys. Rev. A 107, 052608 (2023).
  38. M. V. Berry, Transitionless quantum driving, J. Phys. A: Math. Theor. 42, 365303 (2009).
  39. G. Vacanti, R. Fazio, S. Montangero, G. M. Palma, M. Paternostro, and V. Vedral, Transitionless quantum driving in open quantum systems, New J. Phys. 16, 053017 (2014).
  40. S. L. Wu, X. L. Huang, H. Li, and X. X. Yi, Adiabatic evolution of decoherence-free subspaces and its shortcuts, Phys. Rev. A 96, 042104 (2017).
  41. D. Guéry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Shortcuts to adiabaticity: Concepts, methods, and applications, Rev. Mod. Phys. 91, 045001 (2019).
  42. L. C. Venuti, T. Albash, D. A. Lidar, and P. Zanardi, Adiabaticity in open quantum systems, Phys. Rev. A 93, 032118 (2016).
  43. W. K. Wootters, Entanglement of formation and concurrence, Quantum Inf. Comput. 1, 27 (2001).
  44. A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, Optimally robust shortcuts to population inversion in two-level quantum systems, New J. Phys. 14, 093040 (2012).
  45. E. A. Novikov, Functionals and the random-force method in turbulence theory, Sov. Phys. JETP 20, 1290 (1965).
  46. A. Blais, J. Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, Quantum-information processing with circuit quantum electrodynamics, Phys. Rev. A 75, 032329 (2007).
  47. S. Sheldon, E. Magesan, J. M. Chow, and J. M. Gambetta, Procedure for systematically tuning up cross-talk in the cross-resonance gate, Phys. Rev. A 93, 060302(R) (2016).
  48. B. K. Mitchell, R. K. Naik, A. Morvan, A. Hashim, J. M. Kreikebaum, B. Marinelli, W. Lavrijsen, K. Nowrouzi, D. I. Santiago, and I. Siddiqi, Hardware-efficient microwave-activated tunable coupling between superconducting qubits, Phys. Rev. Lett. 127, 200502 (2021).
  49. D.-W. Wang, C. Song, W. Feng, H. Cai, D. Xu, H. Deng, H. Li, D. Zheng, X. Zhu, H. Wang et al., Synthesis of antisymmetric spin exchange interaction and chiral spin clusters in superconducting circuits, Nat. Phys. 15, 382 (2019).
  50. M. Zanner, T. Orell, C. M. 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).
  51. D. Sels and A. Polkovnikov, Minimizing irreversible losses in quantum systems by local counterdiabatic driving, Proc. Natl. Acad. Sci. USA 114, E3909 (2017).
  52. I. Čepaitė, A. Polkovnikov, A. J. Daley, and C. W. Duncan, Counterdiabatic optimized local driving, PRX Quantum 4, 010312 (2023).
  53. T. Kato, On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Jpn. 5, 435 (1950).
  54. J. A. Gyamfi, Fundamentals of quantum mechanics in Liouville space, Eur. J. Phys. 41, 063002 (2020).
  55. 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).

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