Abstract
Quantum teleportation, the faithful transfer of an unknown input state onto a remote quantum system1, is a key component in long-distance quantum communication protocols2 and distributed quantum computing3,4. At the same time, high-frequency nano-optomechanical systems5 hold great promise as nodes in a future quantum network6, operating on-chip at low-loss optical telecom wavelengths with long mechanical lifetimes. Recent demonstrations include entanglement between two resonators7, a quantum memory8 and microwave-to-optics transduction9,10,11. Despite these successes, quantum teleportation of an optical input state onto a long-lived optomechanical memory is an outstanding challenge. Here we demonstrate quantum teleportation of a polarization-encoded optical input state onto the joint state of a pair of nanomechanical resonators. Our protocol also allows to store and retrieve an arbitrary qubit state onto a dual-rail encoded optomechanical quantum memory. This work demonstrates the full functionality of a single quantum repeater node and presents a key milestone towards applications of optomechanical systems as quantum network nodes.
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Data availability
Source data for the plots are available via Zenodo at https://doi.org/10.5281/zenodo.5079912.
Code availability
The QuTiP code used for the simulations in the Supplementary Information is available at https://github.com/GroeblacherLab/Optomechanical_Quantum_Teleportation.
References
Bennett, C. H. et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993).
Sangouard, N., Simon, C., de Riedmatten, H. & Gisin, N. Quantum repeaters based on atomic ensembles and linear optics. Rev. Mod. Phys. 83, 33–80 (2011).
Raussendorf, R. & Briegel, H. J. A one-way quantum computer. Phys. Rev. Lett. 86, 5188–5191 (2001).
Barz, S. et al. Demonstration of blind quantum computing. Science 335, 303–308 (2012).
Chan, J. et al. Laser cooling of a nanomechanical oscillator into its quantum ground state. Nature 478, 89–92 (2011).
Kimble, H. J. The quantum internet. Nature 453, 1023–1030 (2008).
Riedinger, R. et al. Remote quantum entanglement between two micromechanical oscillators. Nature 556, 473–477 (2018).
Wallucks, A., Marinković, I., Hensen, B., Stockill, R. & Gröblacher, S. A quantum memory at telecom wavelengths. Nat. Phys. 16, 772–777 (2020).
Forsch, M. et al. Microwave-to-optics conversion using a mechanical oscillator in its quantum groundstate. Nat. Phys. 16, 69–74 (2020).
Jiang, W. et al. Efficient bidirectional piezo-optomechanical transduction between microwave and optical frequency. Nat. Commun. 11, 1166 (2020).
Mirhosseini, M., Sipahigil, A., Kalaee, M. & Painter, O. Superconducting qubit to optical photon transduction. Nature 588, 599–603 (2020).
Aspelmeyer, M., Kippenberg, T. J. & Marquardt, F. Cavity optomechanics. Rev. Mod. Phys. 86, 1391–1452 (2014).
Briegel, H.-J., Dür, W., Cirac, J. I. & Zoller, P. Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998).
Bouwmeester, D. et al. Experimental quantum teleportation. Nature 390, 575–579 (1997).
Furusawa, A. et al. Unconditional quantum teleportation. Science 282, 706–709 (1998).
Ma, X.-S. et al. Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269–273 (2012).
Valivarthi, R. et al. Quantum teleportation across a metropolitan fibre network. Nat. Photon. 10, 676–680 (2016).
Olmschenk, S. et al. Quantum teleportation between distant matter qubits. Science 323, 486–489 (2009).
Pfaff, W. et al. Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532–535 (2014).
Hou, P.-Y. et al. Quantum teleportation from light beams to vibrational states of a macroscopic diamond. Nat. Commun. 7, 11736 (2016).
Jiang, L., Taylor, J. M. & Lukin, M. D. Fast and robust approach to long-distance quantum communication with atomic ensembles. Phys. Rev. A 76, 012301 (2007).
Duan, L. M., Lukin, M. D., Cirac, J. I. & Zoller, P. Long-distance quantum communication with atomic ensembles and linear optics. Nature 414, 413–418 (2001).
Bassi, A., Lochan, K., Satin, S., Singh, T. P. & Ulbricht, H. Models of wave-function collapse, underlying theories, and experimental tests. Rev. Mod. Phys. 85, 471–527 (2013).
Fröwis, F., Sekatski, P., Dür, W., Gisin, N. & Sangouard, N. Macroscopic quantum states: measures, fragility, and implementations. Rev. Mod. Phys. 90, 025004 (2018).
Riedinger, R. et al. Non-classical correlations between single photons and phonons from a mechanical oscillator. Nature 530, 313–316 (2016).
Li, J. et al. Proposal for optomechanical quantum teleportation. Phys. Rev. A 102, 032402 (2020).
Pautrel, S., Denis, Z., Bon, J., Borne, A. & Favero, I. An optomechanical discrete variable quantum teleportation scheme. Phys. Rev. A 101, 063820 (2020).
Meenehan, S. M. et al. Silicon optomechanical crystal resonator at millikelvin temperatures. Phys. Rev. A 90, 011803 (2014).
Hong, S. et al. Hanbury Brown and Twiss interferometry of single phonons from an optomechanical resonator. Science 358, 203–206 (2017).
Brown, L. D., Cai, T. T. & DasGupta, A. Interval estimation for a binomial proportion. Stat. Sci. 16, 101–133 (2001).
Chu, Y. & Gröblacher, S. A perspective on hybrid quantum opto- and electromechanical systems. Appl. Phys. Lett. 117, 150503 (2020).
Acknowledgements
We would like to thank K. Hammerer and R. Stockill for valuable discussions. This work is supported by the Foundation for Fundamental Research on Matter (FOM) Projectruimte grant (16PR1054), the European Research Council (ERC StG Strong-Q, 676842 and ERC CoG Q-ECHOS, 101001005) and by the Netherlands Organization for Scientific Research (NWO/OCW), as part of the Frontiers of Nanoscience programme, as well as through Vidi (680-47-541/994) and Vrij Programma (680-92-18-04) grants. R.B. and T.P.M.A. acknowledge funding from the Fundação de Amparo à Pesquisa do Estado de São Paulo (2019/01402-1, 2016/18308-0, 2018/15580-6 and 2018/25339-4) and from the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (Finance Code 001). B.H. also acknowledges funding from the European Union under a Marie Skłodowska-Curie COFUND fellowship.
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N.F., B.H., A.W., J.L. and S.G. devised and planned the experiment. R.B. and B.H. fabricated the sample, and N.F., B.H., R.B. and A.W. built the setup and performed the measurements. B.H. developed the code for the simulations. N.F., B.H. and S.G. analysed the data and wrote the manuscript with input from all authors. T.P.M.A. and S.G. supervised the project.
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Supplementary Information
Supplementary Sections 1–8, Figs. 1–7 and Table 1.
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Fiaschi, N., Hensen, B., Wallucks, A. et al. Optomechanical quantum teleportation. Nat. Photon. 15, 817–821 (2021). https://doi.org/10.1038/s41566-021-00866-z
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DOI: https://doi.org/10.1038/s41566-021-00866-z
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