A Qubit Represented by the Oscillator’s Quantum States in Magnetic Resonance Force Microscopy

Abstract

We consider magnetic resonance force microscopy (MRFM) in the situation when the frequency of the electron spin resonance matches the fundamental frequency of the cantilever with a ferromagnetic particle attached to its tip. We suggest that in this situation, the quantum states of the oscillating cantilever may represent a qubit. We develop a scheme for manipulation with the qubit state and derive the expression describing the Rabi oscillations of the qubit.

Keywords

• qubit
• magnetic resonance force microscopy
• nanomechanical cantilever
• magnetic nanoparticle
• Jaynes–Cummings model