Dynamics of an Ion Coupled to a Parametric Superconducting Circuit

Abstract

Superconducting circuits and trapped ions are promising architectures for quantum information processing. However, the natural frequencies for controlling these systems -- radio frequency ion control and microwave domain superconducting qubit control -- make direct Hamiltonian interactions between them weak. In this paper we describe a technique for coupling a trapped ion's motion to the fundamental mode of a superconducting circuit, by applying to the circuit a carefully modulated external magnetic flux. In conjunction with a non-linear element (Josephson junction), this gives the circuit an effective time-dependent inductance. We then show how to tune the external flux to generate a resonant coupling between the circuit and ion's motional mode, and discuss the limitations of this approach compared to using a time-dependent capacitance.

10 pages, 4 figures

References in corpus (8)

• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• The Magnus expansion and some of its applications
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Observation of quantum jumps in a superconducting artificial atom
• Realization of the quantum Toffoli gate with trapped ions
• Reversible state transfer between superconducting qubits and atomic ensembles
• First-order sidebands in circuit QED using qubit frequency modulation

Cited by in corpus (3)

• Hybrid quantum systems with trapped charged particles
• Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current
• Strong coherent ion-electron coupling using a wire data bus