[en] Highlights: • Inducing and detecting geometric phases with a same superconducting circuit device. • Controllable inducements of the non-Abelian and Abelian geometric phases. • Discovering the noncommutative or commutative features of geometric phases. -- Abstract: We propose a theoretically feasible scheme for controllably inducing and effectively detecting geometric phases by a superconducting circuit device. Only by adjusting the microwave pulses applied to the considered circuit, the non-Abelian and Abelian geometric phases can be induced controllably. Through considering the population difference after two composite evolutions, the noncommutative or commutative features of geometric phases can be explicitly shown. We address the scenarios of physical implementations with the available technology. Thus the scheme may offer a potential approach for synthetically investigating geometric phases with Josephson circuits

[en] Optimal generation of photon Fock states is of significance for quantum information processing and state engineering. Here an efficient scheme is proposed for fast generation of photon Fock states in a superconducting nanocircuit via counterdiabatic driving. A Cooper-pair box circuit, behaving as an effective three-level artificial atom, is driven by a quantized cavity mode and two classical fields. By the technique of shortcuts to adiabaticity with counterdiabatic driving, we first generate a single-photon Fock state by performing population transfer within a composite system, consisting of the atom qutrit and microwave photons. Assisted by an auxiliary driving to initialize atom state, rapid generation of multi-photon Fock states can be addressed sequentially. Compared with an adiabatic counterpart, the shortcut-based operation in a shorter time contributes to enhance fidelity. The strategy could offer a promising avenue towards optimized creation of microwave photon Fock states with superconducting quantum circuits.

[en] Construction of optimal gate operations is significant for quantum computation. Here an efficient scheme is proposed for performing shortcut-based quantum gates on superconducting qubits in circuit quantum electrodynamics (QED). Two four-level artificial atoms of Cooper-pair box circuits, having sufficient level anharmonicity, are placed in a common quantized field of circuit QED and are driven by individual classical microwaves. Without the effect of cross resonance, one-qubit NOT gate and phase gate in a decoupled atom can be implemented using the invariant-based shortcuts to adiabaticity. With the assistance of cavity bus, a one-step SWAP gate can be obtained within a composite qubit-photon-qubit system by inversely engineering the classical drivings. We further consider the gate realizations by adjusting the microwave fields. With the accessible decoherence rates, the shortcut-based gates have high fidelities. The present strategy could offer a promising route towards fast and robust quantum computation with superconducting circuits experimentally. (paper)

[en] We propose a theoretical scheme to implement non-leaky population transfer in a transmon-regime artificial atom. Due to the weak level anharmonicity of the transmon system, resonant driving leads to considerable quantum leakage. Facilitated by the level-transition rule, we develop a Λ-type interaction between the first three levels and the driving fields. Under two-photon resonance with large detuning, a reduced two-level system is obtained, with which we perform non-leaky population transfer by adjusting the microwave driving. With the accessible parameters, we further analyse the flexible reversibility and high robustness of the protocol. The present scheme provides a potential approach to optimizing population transfer with transmon artificial atoms. (letter)

[en] We develop an efficient scheme for controllably generating electromagnetically induced transparency (EIT) with a superconducting qutrit driven by tunable drivings. At an optimal bias point, the first three level states of a charge-phase quantum circuit constitute our qutrit. Allowed by the level transition rule, V- and -type interactions between the qutrit and driving fields can be obtained individually. By the technique of density matrix, we analytically derive and numerically address two cases of EIT for an identical probe field only by tuning the frequency of control driving. Thanks to the tunable interactions within the qutrit having sufficient level anharmonicity, our strategy offers a promising approach to generate EIT in a controllable manner, which could be highly preferable to experimentally investigate EIT with superconducting artificial atoms. (letter)

[en] Fast generation of entanglement states is of critical importance for robust quantum information processing. In this paper, we propose an efficient protocol for a rapidly generating entanglement state between a transmon qubit and microwave photons. The transmon system is coupled to a classical microwave driving and a quantized cavity mode. With the adjustable classical driving, we consider the entanglement creation by transferring the composite states via resonant driving. Compared with the non-resonant cases, the present operation can be accomplished in a shorter time, which thus contributes to mitigating the decoherence effects. Moreover, many transmons inside a common cavity field could be addressed in a scalable way. The proposed strategy could offer a promising approach to optimally prepare entanglement states with superconducting quantum systems. (paper)

[en] We propose an efficient protocol to implement accelerated and robust population transfer in a transmon qutrit via $\mathrm{\Delta <!--\; ??\; -->}$-type driving. By means of stimulated Raman adiabatic passage, we first show an adiabatic population transfer in the qutrit under a two-photon resonance. By taking advantage of the weak level anharmonicity of the qutrit, only two drivings are needed to be applied to the qutrit, forming a $\mathrm{\Delta <!--\; ??\; -->}$-type interaction. With the Gaussian-shaped Rabi couplings, target population transfer can be accelerated substantially when compared to the adiabatic process. Moreover, we analyze the negligible leakages and distinct fidelity enhancement with the accessible parameters. The present scheme could offer a promising application in experimentally performing population transfer with the transmon-regime quantum circuits.

[en] We propose a theoretical scheme to speed up adiabatic population transfer in a Josephson artificial qutrit by transitionless quantum driving. At a magic working point, an effective three-level subsystem can be chosen to constitute our qutrit. With Stokes and pump driving, adiabatic population transfer can be achieved in the qutrit by means of stimulated Raman adiabatic passage. Assisted by a counter-diabatic driving, the adiabatic population transfer can be sped up drastically with accessible parameters. Moreover, the accelerated operation is flexibly reversible and highly robust against decoherence effects. Thanks to these distinctive advantages, the present protocol could offer a promising avenue for optimal coherent operations in Josephson quantum circuits. (paper)

[en] We propose an efficient protocol for rapidly generating quantum entangled states between a transmon qubit and microwave photons via shortcuts to adiabaticity. For a dispersive coupling between the qubit and cavity mode, three composite qubit-photon states constitute our system. Two microwave drivings are applied to the three-level system, leading to a Λ-type interaction. Based on shortcut-like quantum state transfer, the maximally entangled states can be controllably generated in a non-adiabatic manner. We address the dependence of the needed time for generating entangled states on the Rabi couplings, and further analyse the robustness of quantum operations. The present scheme opens up an opportunity for fast creating entangled states of the superconducting qubit-cavity systems. (letter)

[en] We propose an effective scheme for implementing tunable photon transmission through a coplanar waveguide cavity. An electron spin ensemble of nitrogen-vacancy centers, behaving as a spin-boson mode, is coupled to the cavity mode. It is found that the transmittance of an incident photon depends on the coupling strength between the two modes, both with dissipative effects. In particular, the photon transmittance can be controlled at will by adjusting the external driving-induced detunings. This proposal could offer a promising avenue to coherently control photon propagation and is highly preferable for the experimental manipulations. (letter)