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Microwave Spectroscopy of a Carbon Nanotube Charge Qubit

Z. V. Penfold-Fitch1, F. Sfigakis1,†, and M. R. Buitelaar2,3,*

  • 1Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
  • 2London Centre for Nanotechnology, University College London, London WC1H 0AH, United Kingdom
  • 3Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom

  • *m.buitelaar@ucl.ac.uk
  • †Present address: The Institute for Quantum Computing, University of Waterloo, Canada.
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Phys. Rev. Applied 7, 054017 – Published 25 May, 2017

DOI: https://doi.org/10.1103/PhysRevApplied.7.054017

Abstract

Carbon nanotube quantum dots allow accurate control of electron charge, spin, and valley degrees of freedom in a material which is atomically perfect and can be grown isotopically pure. These properties underlie the unique potential of carbon nanotubes for quantum information processing, but developing nanotube charge, spin, or spin-valley qubits requires efficient readout techniques as well as understanding and extending quantum coherence in these devices. Here, we report on microwave spectroscopy of a carbon nanotube charge qubit in which quantum information is encoded in the spatial position of an electron. We combine radio-frequency reflectometry measurements of the quantum capacitance of the device with microwave manipulation to drive transitions between the qubit states. This approach simplifies charge-state readout and allows us to operate the device at an optimal point where the qubit is first-order insensitive to charge noise. From these measurements, we are able to quantify the degree of charge noise experienced by the qubit and obtain an inhomogeneous charge coherence of 5 ns. We use a chopped microwave signal whose duty-cycle period is varied to measure the decay of the qubit states, yielding a charge relaxation time of 48 ns.

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References (36)

  1. E. A. Laird, F. Kuemmeth, G. A. Steele, K. Grove-Rasmussen, J. Nygård, K. Flensberg, and L. P. Kouwenhoven, Quantum transport in carbon nanotubes, Rev. Mod. Phys. 87, 703 (2015).
  2. F. Kuemmeth, S. Ilani, D. Ralph, and P. McEuen, Coupling of spin and orbital motion of electrons in carbon nanotubes, Nature (London) 452, 448 (2008).
  3. D. V. Bulaev, B. Trauzettel, and D. Loss, Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots, Phys. Rev. B 77, 235301 (2008).
  4. H. O. H. Churchill, A. J. Bestwick, J. W. Harlow, F. Kuemmeth, D. Marcos, C. H. Stwertka, S. K. Watson, and C. M. Marcus, Electron-nuclear interaction in C13 nanotube double quantum dots, Nat. Phys. 5, 321 (2009).
  5. H. O. H. Churchill, F. Kuemmeth, J. W. Harlow, A. J. Bestwick, E. I. Rashba, K. Flensberg, C. H. Stwertka, T. Taychatanapat, S. K. Watson, and C. M. Marcus, Relaxation and Dephasing in a Two-Electron C13 Nanotube Double Quantum Dot, Phys. Rev. Lett. 102, 166802 (2009).
  6. E. A. Laird, F. Pei, and L. P. Kouwenhoven, A valley-spin qubit in a carbon nanotube, Nat. Nanotechnol. 8, 565 (2013).
  7. J. J. Viennot, M. C. Dartiailh, A. Cottet, and T. Kontos, Coherent coupling of a single spin to microwave cavity photons, Science 349, 408 (2015).
  8. J. J. Viennot, M. R. Delbecq, M. C. Dartiailh, A. Cottet, and T. Kontos, Out-of-equilibrium charge dynamics in a hybrid circuit quantum electrodynamics architecture, Phys. Rev. B 89, 165404 (2014).
  9. J. Fischer, B. Trauzettel, and D. Loss, Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots, Phys. Rev. B 80, 155401 (2009).
  10. S. J. Chorley, G. Giavaras, J. Wabnig, G. A. C. Jones, C. G. Smith, G. A. D. Briggs, and M. R. Buitelaar, Transport Spectroscopy of an Impurity Spin in a Carbon Nanotube Double Quantum Dot, Phys. Rev. Lett. 106, 206801 (2011).
  11. S. J. Chorley, J. Wabnig, Z. V. Penfold-Fitch, K. D. Petersson, J. Frake, C. G. Smith, and M. R. Buitelaar, Measuring the Complex Admittance of a Carbon Nanotube Double Quantum Dot, Phys. Rev. Lett. 108, 036802 (2012).
  12. K. D. Petersson, C. G. Smith, D. Anderson, P. Atkinson, G. A. C. Jones, and D. A. Ritchie, Charge and spin state readout of a double quantum dot coupled to a resonator, Nano Lett. 10, 2789 (2010).
  13. J. I. Colless, A. C. Mahoney, J. M. Hornibrook, A. C. Doherty, H. Lu, A. C. Gossard, and D. J. Reilly, Dispersive Readout of a Few-Electron Double Quantum Dot with Fast rf Gate Sensors, Phys. Rev. Lett. 110, 046805 (2013).
  14. J. R. Petta, A. C. Johnson, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Manipulation of a Single Charge in a Double Quantum Dot, Phys. Rev. Lett. 93, 186802 (2004).
  15. K. D. Petersson, J. R. Petta, H. Lu, and A. C. Gossard, Quantum Coherence in a One-Electron Semiconductor Charge Qubit, Phys. Rev. Lett. 105, 246804 (2010).
  16. Z. Shi, C. B. Simmons, D. R. Ward, J. R. Prance, R. T. Mohr, T. S. Koh, J. K. Gamble, X. Wu, D. E. Savage, M. G. Lagally, M. Friesen, S. N. Coppersmith, and M. A. Eriksson, Coherent quantum oscillations and echo measurements of a Si charge qubit, Phys. Rev. B 88, 075416 (2013).
  17. D. Kim, D. R. Ward, C. B. Simmons, J. K. Gamble, R. Blume-Kohout, E. Nielsen, D. E. Savage, M. G. Lagally, M. Friesen, S. N. Coppersmith, and M. A. Eriksson, Microwave-driven coherent operation of a semiconductor quantum dot charge qubit, Nat. Nanotechnol. 10, 243 (2015).
  18. A. Cottet, C. Mora, and T. Kontos, Mesoscopic admittance of a double quantum dot, Phys. Rev. B 83, 121311 (2011).
  19. S. N. Shevchenko, S. Ashhab, and F. Nori, Landau-Zener-Stückelberg interferometry, Phys. Rep. 492, 1 (2010).
  20. J. Stehlik, Y. Dovzhenko, J. R. Petta, J. R. Johansson, F. Nori, H. Lu, and A. C. Gossard, Landau-Zener-Stückelberg interferometry of a single electron charge qubit, Phys. Rev. B 86, 121303(R) (2012).
  21. H. Ribeiro, J. R. Petta, and G. Burkard, Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry, Phys. Rev. B 87, 235318 (2013).
  22. G. Coa, H.-O. Li, T. Tu, L. Wang, C. Zhou, M. Xiao, G.-C. Guo, H.-W. Jiang, and G.-P. Guo, Ultrafast quantum control of a quantum-dot charge qubit using Landau-Zener-Stückelberg interference, Nat. Commun. 4, 1401 (2013).
  23. L. R. Schreiber, F. R. Braakman, T. Meunier, V. Calado, J. Danon, J. M. Taylor, W. Wegscheider, and L. M. K. Vandersypen, Coupling artificial molecular spin states by photon-assisted tunnelling, Nat. Commun. 2, 556 (2011).
  24. J. I. Colless, X. G. Croot, T. M. Stace, A. C. Doherty, S. D. Barrett, H. Lu, A. C. Gossard, and D. J. Reilly, Raman phonon emission in a driven double quantum dot, Nat. Commun. 5, 3716 (2014).
  25. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Manipulating the quantum state of an electrical circuit, Science 296, 886 (2002).
  26. G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Decoherence in a superconducting quantum bit circuit, Phys. Rev. B 72, 134519 (2005).
  27. A. B. Vorontsov and M. G. Vavilov, Spin Relaxation in Quantum Dots due to Electron Exchange with Leads, Phys. Rev. Lett. 101, 226805 (2008).
  28. A. Baumgartner, G. Abulizi, K. Watanabe, T. Taniguchi, J. Gramich, and C. Schönenberger, Carbon nanotube quantum dots on hexagonal boron nitride, Appl. Phys. Lett. 105, 023111 (2014).
  29. J. Waissman, M. Honig, S. Pecker, A. Benyamini, A. Hamo, and S. Ilani, Realization of pristine and locally tunable one-dimensional electron systems in carbon nanotubes, Nat. Nanotechnol. 8, 569 (2013).
  30. V. Ranjan, G. Puebla-Hellmann, M. Jung, T. Hasler, A. Nunnenkamp, M. Muoth, C. Hierold, A. Wallraff, and C. Schönenberger, Clean carbon nanotubes coupled to superconducting impedance-matching circuits, Nat. Commun. 6, 7165 (2015).
  31. A. Benyamini, A. Hamo, S. Viola Kusminskiy, F. von Oppen, and S. Ilani, Real-space tailoring of the electron-phonon coupling in ultraclean nanotube mechanical resonators, Nat. Phys. 10, 151 (2014).
  32. H. Wang and G. Burkard, Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube, Phys. Rev. B 92, 195432 (2015).
  33. W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, T. Fujisawa, S. Tarucha, and L. P. Kouwenhoven, Electron transport through double quantum dots, Rev. Mod. Phys. 75, 1 (2003).
  34. G. Yamahata, Y. Tsuchiya, S. Oda, Z. A. K. Durrani, and H. Mizuta, Control of electrostatic coupling observed for silicon double quantum dot structures, Jpn. J. Appl. Phys. 47, 4820 (2008).
  35. M. R. Gräber, W. A. Coish, C. Hoffmann, M. Weiss, J. Furer, S. Oberholzer, D. Loss, and C. Schönenberger, Molecular states in carbon nanotube double quantum dots, Phys. Rev. B 74, 075427 (2006).
  36. M. Sillanpää, T. Lehtinen, A. Paila, Y. Makhlin, and P. Hakonen, Continuous-Time Monitoring of Landau-Zener Interference in a Cooper-Pair Box, Phys. Rev. Lett. 96, 187002 (2006).

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Phys. Rev. Applied 7, 054017– Published 25 May, 2017
  • Received 7 January 2016

© 2017 American Physical Society

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