Quantum Fisher Information Measure in a Strongly Confined Harmonic Paul Trap Lattice System

Precious Ogbonda Amadi; Paphon Pewkhom; Pruet Kalasuwan; Norshamsuri Ali; Syed Alwee Aljunid; Rosdisham Endut

Paper

Quantum Fisher Information Measure in a Strongly Confined Harmonic Paul Trap Lattice System

Abstract

In this work, we examine how the informational and structural properties of a single ion respond to controlled changes of the effective potential in a Paul trap modified by an optical lattice. We consider the ground state of the system where confinement is strongest. And by treating the trap frequency

and lattice

as independent tunning parameters, we show that Fisher information, Shannon entropy, and Fisher-Shannon complexity track the curvature of the effective potential

. The

and

sweeps confirm that curvature and not the choice of control parameter determines the behaviour of the system. This gives the trapped-ion platform a clear advantage that the curvature can be engineered without altering the harmonic characteristics of the system. The interplay between

and

thus provides a practical route for precision quantum control and offers Information-theoretic framework for experiments that probe confinement, quantization scale, and information flow in engineered ion traps.