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Coherent control of macroscopic quantum states in a single-Cooper-pair box

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Abstract

A nanometre-scale superconducting electrode connected to a reservoir via a Josephson junction constitutes an artificial two-level electronic system: a single-Cooper-pair box. The two levels consist of charge states (differing by 2e, where e is the electronic charge) that are coupled by tunnelling of Cooper pairs through the junction. Although the two-level system is macroscopic, containing a large number of electrons, the two charge states can be coherently superposed1,2,3,4. The Cooper-pair box has therefore been suggested5,6,7 as a candidate for a quantum bit or ‘qubit’—the basic component of a quantum computer. Here we report the observation of quantum oscillations in a single-Cooper-pair box. By applying a short voltage pulse via a gate electrode, we can control the coherent quantum state evolution: the pulse modifies the energies of the two charge states non-adiabatically, bringing them into resonance. The resulting state—a superposition of the two charge states—is detected by a tunnelling current through a probe junction. Our results demonstrate electrical coherent control of a qubit in a solid-state electronic device.

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Figure 1: Single-Cooper-pair box with a probe junction.
Figure 2: Pulse modulation of quantum states.
Figure 3: Effect of applying pulses as a function of d.c.-induced charge Q 0 and pulse length Δt.
Figure 4: Pulse-induced current as a function of the pulse length Δt.

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References

  1. Bouchiat, V., Vion, D., Joyez, P., Esteve, D. & Devoret, M. H. Quantum coherence with a single Cooper pair. Physica Scripta T 76, 165–170 (1998).

    Article  ADS  Google Scholar 

  2. Joyez, P., Lafarge, P., Filipe, A., Esteve, D. & Devoret, M. H. Observation of parity-induced suppression of Josephson tunneling in the superconducting single electron transistor. Phys. Rev. Lett. 72, 2458–2461 (1994).

    Article  ADS  CAS  Google Scholar 

  3. Flees, D., Han, S. & Lukens, J. Interband transitions and band gap measurements in Bloch transistors. Phys. Rev. Lett. 78, 4817–4820 (1997).

    Article  ADS  CAS  Google Scholar 

  4. Nakamura, Y., Chen, C. D. & Tsai, J. S. Spectroscopy of energy-level splitting between two macroscopic quantum states of charge coherently superposed by Josephson coupling. Phys. Rev. Lett. 79, 2328–2331 (1997).

    Article  ADS  CAS  Google Scholar 

  5. Shnirman, A., Schön, G. & Hermon, Z. Quantum manipulation of small Josephson junctions. Phys. Rev. Lett. 79, 2371–2374 (1997).

    Article  ADS  CAS  Google Scholar 

  6. Averin, D. V. Adiabatic quantum computation with Cooper pairs. Solid State Commun. 105, 659–664 (1998).

    Article  ADS  CAS  Google Scholar 

  7. Makhlin, Yu., Schön, G. & Shnirman, A. Josephson-junction qubits with controlled couplings. Nature 398, 305–307 (1999).

    Article  ADS  CAS  Google Scholar 

  8. Shedelbeck, G., Wegscheider, W., Bichler, M. & Abstreiter, G. Coupled quantum dots fabricated by cleaved edge overgrowth: from artificial atoms to molecules. Science 278, 1792–1795 (1997).

    Article  ADS  Google Scholar 

  9. Oosterkamp, T. H.et al. Microwave spectroscopy of a quantum-dot molecule. Nature 395, 873–876 (1998).

    Article  ADS  CAS  Google Scholar 

  10. Bonadeo, N. H.et al. Coherent optical control of the quantum state of a single quantum dot. Science 282, 1473–1476 (1998).

    Article  CAS  Google Scholar 

  11. Loss, D. & DiVincenzo, D. P. Quantum computation with quantum dots. Phys. Rev. A 57, 120–126 (1998).

    Article  ADS  CAS  Google Scholar 

  12. Kane, B. E. Asilicon-based nuclear spin quantum computer. Nature 393, 133–137 (1998).

    Article  ADS  CAS  Google Scholar 

  13. Leggett, A. J. in Chance and Matter(eds Souletie, J., Vannimenus, J. & Stora, R.) 395–506 (Elsevier, Amsterdam, (1984).

    Google Scholar 

  14. Tesche, C. D. Can a noninvasive measurement of magnetic flux be performed with superconducting circuits? Phys. Rev. Lett. 64, 2358–2361 (1990).

    Article  ADS  CAS  Google Scholar 

  15. Neumann, F., Ingold, G.-L. & Grabert, H. Influence of the environment on charge quantization in small superconducting islands. Phys. Rev. B 50, 12811–12819 (1994).

    Article  ADS  CAS  Google Scholar 

  16. Fulton, T. A., Gammel, P. L., Bishop, D. J., Dunkleberger, L. N. & Dolan, G. J. Observation of combined Josephson and charging effects in small tunnel junction circuits. Phys. Rev. Lett. 63, 1307–1310 (1989).

    Article  ADS  CAS  Google Scholar 

  17. Averin, D. V. & Aleshkin, V. Ya. Resonant tunneling of Cooper pairs in a system of two small Josephson junctions. JETP Lett. 50, 367–369 (1989).

    ADS  Google Scholar 

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Acknowledgements

We thank W. Hattori, M. Baba and H. Suzuki for experimental help and M. Ueda, Y.Kohno, M. H. Devoret and Y. Ootuka for discussions. This work was supported by the Core Research for Evolutional Science and Technology (CREST) of the Japan Science and Technology Corporation (JST).

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Correspondence to Y. Nakamura.

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Nakamura, Y., Pashkin, Y. & Tsai, J. Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature 398, 786–788 (1999). https://doi.org/10.1038/19718

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  • DOI: https://doi.org/10.1038/19718

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