Manipulating Fock states of a harmonic oscillator while preserving its linearity

K Juliusson 1 S Bernon 1 X Zhou 1 V Schmitt 1 H Le Sueur 2 P Bertet 1 D Vion 1 M Mirahimi 3 P Rouchon 4 D Esteve 1
1 QUANTRONICS - Quantronics Group
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
2 CSNSM AN
CSNSM - Centre de Spectrométrie Nucléaire et de Spectrométrie de Masse, CSNSM - Centre de Sciences Nucléaires et de Sciences de la Matière
3 QUANTIC - QUANTum Information Circuits
Inria de Paris, MINES ParisTech - École nationale supérieure des mines de Paris, ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We present a new scheme for controlling the quantum state of a harmonic oscillator by coupling it to an anharmonic multilevel system (MLS) with rst to second excited state transition frequency on-resonance with the oscillator. In this scheme that we call 'ef-resonant', the spurious oscillator Kerr non-linearity inherited from the MLS is very small, while its Fock states can still be selectively addressed via an MLS transition at a frequency that depends on the number of photons. We implement this concept in a circuit-QED setup with a microwave 3D cavity (the oscillator, with frequency 6.4 GHz and quality factor QO = 2E6) embedding a frequency tunable transmon qubit (the MLS). We characterize the system spectroscopically and demonstrate selective addressing of Fock states and a Kerr non-linearity below 350 Hz. At times much longer than the transmon coherence times, a non-linear cavity response with driving power is also observed and explained.
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K Juliusson, S Bernon, X Zhou, V Schmitt, H Le Sueur, et al.. Manipulating Fock states of a harmonic oscillator while preserving its linearity. 2016. ⟨cea-01346391⟩

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