Clean carbon nanotubes coupled to superconducting impedance-matching circuits

Coupling carbon nanotube devices to microwave circuits offers a significant increase in bandwidth (BW) and signal-to-noise ratio. These facilitate fast non-invasive readouts important for quantum information processing, shot noise and correlation measurements. However, creation of a device that unites a low-disorder nanotube with a low-loss microwave resonator has so far remained a challenge, due to fabrication incompatibility of one with the other. Employing a mechanical transfer method, we successfully couple a nanotube to a gigahertz superconducting matching circuit and thereby retain pristine transport characteristics such as the control over formation of, and coupling strengths between, the quantum dots. Resonance response to changes in conductance and susceptance further enables quantitative parameter extraction. The achieved near matching is a step forward promising high-BW noise correlation measurements on high impedance devices such as quantum dot circuits.

[1]  Qian Wang,et al.  Electron transport in very clean, as-grown suspended carbon nanotubes , 2005, Nature materials.

[2]  Operation of single-walled carbon nanotube as a radio-frequency single-electron transistor , 2007 .

[3]  E. Laird,et al.  Valley-spin blockade and spin resonance in carbon nanotubes. , 2012, Nature nanotechnology.

[4]  M R Delbecq,et al.  Photon-mediated interaction between distant quantum dot circuits , 2013, Nature Communications.

[5]  T. Kontos,et al.  Out-of-equilibrium charge dynamics in a hybrid circuit quantum electrodynamics architecture , 2013, 1310.4363.

[6]  J. Wabnig,et al.  Measuring the complex admittance of a carbon nanotube double quantum dot. , 2011, Physical review letters.

[7]  T. Ihn,et al.  Single-electron double quantum dot dipole-coupled to a single photonic mode , 2013, 1304.5141.

[8]  A. Gossard,et al.  Quantum coherence in a one-electron semiconductor charge qubit. , 2010, Physical review letters.

[9]  L. Lechner,et al.  rf-electrometer using a carbon nanotube resonant tunneling transistor , 2010 .

[10]  R. Schoelkopf,et al.  The radio-frequency single-electron transistor (RF-SET): A fast and ultrasensitive electrometer , 1998, Science.

[11]  C. Schönenberger,et al.  Ultraclean single, double, and triple carbon nanotube quantum dots with recessed Re bottom gates. , 2013, Nano letters.

[12]  L Frunzio,et al.  High-cooperativity coupling of electron-spin ensembles to superconducting cavities. , 2010, Physical review letters.

[13]  P. Hakonen,et al.  Carbon Nanotube Radio-Frequency Single-Electron Transistor , 2004 .

[14]  T. Nakajima,et al.  Vacuum Rabi splitting in a semiconductor circuit QED system. , 2013, Physical review letters.

[15]  J. Clarke,et al.  Superconducting quantum bits , 2008, Nature.

[16]  G. Steele,et al.  Carbon nanotubes as ultrahigh quality factor mechanical resonators. , 2009, Nano letters.

[17]  S. Girvin,et al.  Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics , 2004, Nature.

[18]  J Gabelli,et al.  Violation of Kirchhoff's Laws for a Coherent RC Circuit , 2006, Science.

[19]  D. Pozar Microwave Engineering , 1990 .

[20]  Jacob M. Taylor,et al.  Circuit quantum electrodynamics with a spin qubit , 2012, Nature.

[21]  M. Beck,et al.  Quantum dot admittance probed at microwave frequencies with an on-chip resonator , 2012, 1207.0945.

[22]  T. Kontos,et al.  Stamping single wall nanotubes for circuit quantum electrodynamics , 2014, 1404.0162.

[23]  M R Delbecq,et al.  Coupling a quantum dot, fermionic leads, and a microwave cavity on a chip. , 2011, Physical review letters.

[24]  Thomas,et al.  Dynamic conductance and the scattering matrix of small conductors. , 1993, Physical review letters.

[25]  Felix von Oppen,et al.  Real-space tailoring of the electron–phonon coupling in ultraclean nanotube mechanical resonators , 2013, Nature Physics.

[26]  Robert J Schoelkopf,et al.  Storage of multiple coherent microwave excitations in an electron spin ensemble. , 2009, Physical review letters.

[27]  M. Beck,et al.  Dipole coupling of a double quantum dot to a microwave resonator. , 2011, Physical review letters.

[28]  D. Ralph,et al.  Coupling of spin and orbital motion of electrons in carbon nanotubes , 2008, Nature.

[29]  J Wrachtrup,et al.  Strong coupling of a spin ensemble to a superconducting resonator. , 2010, Physical review letters.

[30]  R J Schoelkopf,et al.  Hybrid quantum processors: molecular ensembles as quantum memory for solid state circuits. , 2006, Physical review letters.

[31]  S. Ilani,et al.  Realization of pristine and locally tunable one-dimensional electron systems in carbon nanotubes. , 2013, Nature nanotechnology.

[32]  E. Laird,et al.  A valley-spin qubit in a carbon nanotube. , 2012, Nature nanotechnology.

[33]  A. Wallraff,et al.  Realization of gigahertz-frequency impedance matching circuits for nano-scale devices , 2012, 1207.4403.

[34]  C. Hierold,et al.  Suspended CNT-FET piezoresistive strain gauges: Chirality assignment and quantitative analysis , 2013, 2013 IEEE 26th International Conference on Micro Electro Mechanical Systems (MEMS).