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Harnessing electro-optic correlations in an efficient mechanical converter

Nature Physicsvolume 14pages10381042 (2018) | Download Citation

Abstract

An optical network of superconducting quantum bits (qubits) is an appealing platform for quantum communication and distributed quantum computing, but developing a quantum-compatible link between the microwave and optical domains remains an outstanding challenge. Operating at T < 100 mK temperatures, as required for quantum electrical circuits, we demonstrate a mechanically mediated microwave–optical converter with 47% conversion efficiency, and use a classical feed-forward protocol to reduce added noise to 38 photons. The feed-forward protocol harnesses our discovery that noise emitted from the two converter output ports is strongly correlated because both outputs record thermal motion of the same mechanical mode. We also discuss a quantum feed-forward protocol that, given high system efficiencies, would allow quantum information to be transferred even when thermal phonons enter the mechanical element faster than the electro-optic conversion rate.

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References

  1. 1.

    Cirac, J. I., Zoller, P., Kimble, H. J. & Mabuchi, H. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221–3224 (1997).

  2. 2.

    Ekert, A. K. Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661–663 (1991).

  3. 3.

    Cirac, J. I., Ekert, A. K., Huelga, S. F. & Macchiavello, C. Distributed quantum computation over noisy channels. Phys. Rev. A 59, 4249–4254 (1999).

  4. 4.

    Dür, W. & Briegel, H.-J. Entanglement purification for quantum computation. Phys. Rev. Lett. 90, 067901 (2003).

  5. 5.

    Kelly, J., Barends, R., Fowler, A. G., Megrant, A. & Jeffrey, E. State preservation by repetitive error detection in a superconducting quantum circuit. Nature 519, 66–69 (2015).

  6. 6.

    Ofek, N. et al. Extending the lifetime of a quantum bit with error correction in superconducting circuits. Nature 536, 441–445 (2016).

  7. 7.

    Verdú, J. et al. Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity. Phys. Rev. Lett. 103, 043603 (2009).

  8. 8.

    Hafezi, M. et al. Atomic interface between microwave and optical photons. Phys. Rev. A 85, 020302 (2012).

  9. 9.

    Imamoglu, A. Cavity QED based on collective magnetic dipole coupling: Spin ensembles as hybrid two-level systems. Phys. Rev. Lett. 102, 083602 (2009).

  10. 10.

    Marcos, D. et al. Coupling nitrogen-vacancy centers in diamond to superconducting flux qubits. Phys. Rev. Lett. 105, 210501 (2010).

  11. 11.

    Kubo, Y. et al. Strong coupling of a spin ensemble to a superconducting resonator. Phys. Rev. Lett. 105, 140502 (2010).

  12. 12.

    Williamson, L. A., Chen, Y.-H. & Longdell, J. J. Magneto-optic modulator with unit quantum efficiency. Phys. Rev. Lett. 113, 203601 (2014).

  13. 13.

    Hisatomi, R. et al. Bidirectional conversion between microwave and light via ferromagnetic magnons. Phys. Rev. B 93, 174427 (2016).

  14. 14.

    Ilchenko, V. S., Savchenkov, A. A., Matsko, A. B. & Maleki, L. Whispering-gallery-mode electro-optic modulator and photonic microwave receiver. J. Opt. Soc. Am. B 20, 333–342 (2003).

  15. 15.

    Xiong, C., Pernice, W. H. P. & Tang, H. X. Low-loss, silicon integrated, aluminum nitride photonic circuits and their use for electro-optic signal processing. Nano Lett. 12, 3562–3568 (2012).

  16. 16.

    Rueda, A. et al. Efficient microwave to optical photon conversion: an electro-optical realization. Optica 3, 597–604 (2016).

  17. 17.

    Bochmann, J., Vainsencher, A., Awschalom, D. D. & Cleland, A. N. Nanomechanical coupling between microwave and optical photons. Nat. Phys. 9, 712–716 (2013).

  18. 18.

    Andrews, R. W. et al. Bidirectional and efficient conversion between microwave and optical light. Nat. Phys. 10, 321–326 (2014).

  19. 19.

    Vainsencher, A., Satzinger, K. J., Peairs, G. A. & Cleland, A. N. Bi-directional conversion between microwave and optical frequencies in a piezoelectric optomechanical device. Appl. Phys. Lett. 109, 033107 (2016).

  20. 20.

    Bagci, T. et al. Optical detection of radio waves through a nanomechanical transducer. Nature 507, 81–85 (2014).

  21. 21.

    Takeda, K. et al. Electro-mechano-optical detection of nuclear magnetic resonance. Optica 5, 152–158 (2018).

  22. 22.

    Safavi-Naeini, A. H. & Painter, O. Proposal for an optomechanical traveling wave phonon–photon translator. New J. Phys. 13, 013017 (2011).

  23. 23.

    Hill, J. T., Safavi-Naeini, A. H., Chan, J. & Painter, O. Coherent optical wavelength conversion via cavity optomechanics. Nat. Commun. 3, 1196 (2012).

  24. 24.

    Zeuthen, E., Schliesser, A., Sørensen, A. S. & Taylor, J. M. Figures of merit for quantum transducers. Preprint at http://arxiv.org/abs/1610.01099 (2016).

  25. 25.

    Safavi-Naeini, A. H. & Painter, O. Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab. Opt. Express 18, 14926–14943 (2010).

  26. 26.

    Cohadon, P. F., Heidmann, A. & Pinard, M. Cooling of a mirror by radiation pressure. Phys. Rev. Lett. 83, 3174–3177 (1999).

  27. 27.

    Arcizet, O. et al. High-sensitivity optical monitoring of a micromechanical resonator with a quantum-limited optomechanical sensor. Phys. Rev. Lett. 97, 133601 (2006).

  28. 28.

    Poggio, M., Degen, C. L., Mamin, H. J. & Rugar, D. Feedback cooling of a cantilever’s fundamental mode below 5 mK. Phys. Rev. Lett. 99, 017201 (2007).

  29. 29.

    Genes, C., Vitali, D., Tombesi, P., Gigan, S. & Aspelmeyer, M. Ground-state cooling of a micromechanical oscillator: Comparing cold damping and cavity-assisted cooling schemes. Phys. Rev. A 77, 033804 (2008).

  30. 30.

    Wilson, D. J. et al. Measurement-based control of a mechanical oscillator at its thermal decoherence rate. Nature 524, 325–329 (2015).

  31. 31.

    Rossi, M. et al. Enhancing sideband cooling by feedback-controlled light. Phys. Rev. Lett. 119, 123603 (2017).

  32. 32.

    Rossi, M., Mason, D., Chen, J., Tsaturyan, Y. & Schliesser, A. Measurement-based quantum control of mechanical motion. Preprint at http://arxiv.org/abs/1805.05087 (2018).

  33. 33.

    Duan, L.-M., Lukin, M. D., Cirac, I. & Zoller, P. Long distance quantum communication with atomic ensembles and linear optics. Nature 414, 413–418 (2001).

  34. 34.

    Rakhubovsky, A. A., Vostrosablin, N. & Filip, R. Squeezer-based pulsed optomechanical interface. Phys. Rev. A 93, 033813 (2016).

  35. 35.

    Zhang, M., Zou, C.-L. & Jiang, L. Quantum transduction with adaptive control. Phys. Rev. Lett. 120, 020502 (2018).

  36. 36.

    Braunstein, S. L. & Kimble, H. J. Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869–872 (1998).

  37. 37.

    Teufel, J. D., Donner, T., Castellanos-Beltran, M. A., Harlow, J. W. & Lehnert, K. W. Nanomechanical motion measured with an imprecision below that at the standard quantum limit. Nat. Nanotech. 4, 820–823 (2009).

  38. 38.

    Peterson, R. W. et al. Laser cooling of a micromechanical membrane to the quantum backaction limit. Phys. Rev. Lett. 116, 063601 (2016).

  39. 39.

    Andrews, R. W. Quantum Signal Processing with Mechanical Oscillators. PhD thesis, Univ. Colorado (2015).

  40. 40.

    Menke, T. et al. Reconfigurable re-entrant cavity for wireless coupling to an electro-optomechanical device. Rev. Sci. Instrum. 88, 094701 (2017).

  41. 41.

    Thompson, J. et al. Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane. Nature 452, 72–75 (2008).

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Acknowledgements

We thank J. Thompson and M. Holland for fruitful conversations and K. Cicak for assistance with device fabrication. We acknowledge funding from AFOSR MURI grant number FA9550-15-1-0015, the NSF under grant number PHYS 1734006, DURIP and AFOSR PECASE.

Author information

Author notes

  1. These authors contributed equally: A. P. Higginbotham, P. S. Burns, M. D. Urmey.

Affiliations

  1. JILA, University of Colorado and NIST, Boulder, CO, USA

    • A. P. Higginbotham
    • , P. S. Burns
    • , M. D. Urmey
    • , R. W. Peterson
    • , N. S. Kampel
    • , B. M. Brubaker
    • , G. Smith
    • , K. W. Lehnert
    •  & C. A. Regal
  2. Department of Physics, University of Colorado, Boulder, CO, USA

    • A. P. Higginbotham
    • , P. S. Burns
    • , M. D. Urmey
    • , R. W. Peterson
    • , N. S. Kampel
    • , B. M. Brubaker
    • , G. Smith
    • , K. W. Lehnert
    •  & C. A. Regal
  3. National Institute of Standards and Technology (NIST), Boulder, CO, USA

    • A. P. Higginbotham
    • , B. M. Brubaker
    •  & K. W. Lehnert
  4. Center for Theory of Quantum Matter, University of Colorado, Boulder, CO, USA

    • G. Smith

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Contributions

A.P.H., P.S.B. and M.D.U. conducted the experiment and analysed data. A.P.H, P.S.B., M.D.U., R.W.P. and N.S.K. designed and constructed the measurement network. M.D.U. and R.W.P. designed and constructed the optical cavity. P.S.B. designed and fabricated the flip-chip device. A.P.H. and G.S. developed feed-forward theory. A.P.H., P.S.B., M.D.U., B.M.B., G.S., K.W.L. and C.A.R. wrote the manuscript. C.A.R. and K.W.L. supervised the work. All authors commented on the results and manuscript.

Competing interests

The authors declare no competing interests.

Corresponding author

Correspondence to P. S. Burns.

Supplementary information

  1. Supplementary Information

    Supplementary Notes 1–7, Supplementary Table 1, Supplementary Figures 1–6, Supplementary References 1–10

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DOI

https://doi.org/10.1038/s41567-018-0210-0