Ultrastrong coupling in circuit quantum electrodynamics systems not only provides a platform to study the quantum Rabi model, but it can also facilitate the implementation of quantumlogic operations via high-lying resonator states. In this regime, quantum manifolds with different excitation numbers are intrinsically connected via the counter-rotating interactions, which can result in multi-photon processes. Recent experiments have demonstrated ultrastrong coupling in superconducting qubits electromagnetically coupled to superconducting resonators. Here we report the experimental observation of multiphoton sideband transitions of a superconducting flux qubit coupled to a coplanar waveguide resonator in the ultrastrong coupling regime. With a coupling strength reaching about 10% of the fundamental frequency of the resonator, we obtain clear signatures of higher-order red-sideband transitions and the first-order blue-sideband transition in a transmission spectroscopic measurement. This study advances the understanding of driven ultrastrongly-coupled systems.
To control light-matter interaction at the single-quantum level in cavity quantum electrodynamics (cavity-QED) or circuit-QED, strong coupling between the light and matter componentsis indispensable. Specifically, the coupling rate g must be larger than the decay rates. If g is increased further and becomes as large as the frequencies of light and matter excitations, the energy eigenstates including the ground state are predicted to be highly entangled. This qualitatively new coupling regime can be called the deep strong-coupling regime. One approach toward the deep strong-coupling regime is to use huge numbers of identical systems to take advantage of ensemble enhancement. With the emergence of so-called macroscopic artificial atoms, superconducting qubits for example, it has become possible for a single artificial atom to realize ultrastrong coupling, where ℏg exceeds ~10% of the energies of the qubit ℏωq and the harmonic oscillator ℏωo. By making use of the macroscopic magnetic dipole moment of a flux qubit, large zero-point-fluctuation current of an LC oscillator, and large Josephson inductance of a coupler junction, we have realized circuits in the deep strong-coupling regime, where g/ωo ranges from 0.72 to 1.34 and g/ωq >> 1. Using energy spectroscopy measurements, we have observed unconventional transition spectra between Schrodinger cat-like energy eigenstates. These states involve quantum superpositions of Fock states with phase-space displacements of ±g/ωo and remarkably survive with environmental noise. Our results provide a basis for ground-state-based entangled-pair generation and open a new direction in circuit-QED.
We infer the high-frequency flux noise spectrum in a superconducting flux qubit by studying the decay of Rabi oscillations under strong driving conditions. The large anharmonicity ofthe qubit and its strong inductive coupling to a microwave line enabled high-amplitude driving without causing significant additional decoherence. Rabi frequencies up to 1.7 GHz were achieved, approaching the qubit’s level splitting of 4.8 GHz, a regime where the rotating-wave approximation breaks down as a model for the driven dynamics. The spectral density of flux noise observed in the wide frequency range decreases with increasing frequency up to 300 MHz, where the spectral density is not very far from the extrapolation of the 1/f spectrum obtained from the free-induction-decay measurements. We discuss a possible origin of the flux noise due to surface electron spins.
We present a new method for determining pulse imperfections and improving the
single-gate fidelity in a superconducting qubit. By applying consecutive
positive and negative $pi$ pulses,we amplify the qubit evolution due to
microwave pulse distortion, which causes the qubit state to rotate around an
axis perpendicular to the intended rotation axis. Measuring these rotations as
a function of pulse period allows us to reconstruct the shape of the microwave
pulse arriving at the sample. Using the extracted response to predistort the
input signal, we are able to improve the pulse shapes and to reach an average
single-qubit gate fidelity higher than 99.8%.
We implement dynamical decoupling techniques to mitigate noise and enhance
the lifetime of an entangled state that is formed in a superconducting flux
qubit coupled to a microscopictwo-level system. By rapidly changing the
qubit’s transition frequency relative to the two-level system, we realize a
refocusing pulse that reduces dephasing due to fluctuations in the transition
frequencies, thereby improving the coherence time of the entangled state. The
coupling coherence is further enhanced when applying multiple refocusing
pulses, in agreement with our $1/f$ noise model. The results are applicable to
any two-qubit system with transverse coupling, and they highlight the potential
of decoupling techniques for improving two-qubit gate fidelities, an essential
prerequisite for implementing fault-tolerant quantum computing.