Utilizing encoding time as a resource to enhance quantum sensing by probe qubit dephasing

TL;DR

This paper explores how encoding time can be utilized as a resource to improve quantum sensing precision by analyzing probe qubit dephasing in a dipolar Bose-Einstein condensate, especially during roton excitation regimes.

Contribution

It introduces a novel approach to enhance quantum sensing by leveraging non-Markovian effects and encoding time in a dipolar BEC system with probe qubits.

Findings

Quantum Fisher information oscillates with encoding time during roton excitations.

Envelope of maximum quantum Fisher information follows a specific functional form.

Long encoding times, enabled by non-Markovian effects, improve sensing precision.

Abstract

We examine a system in which an impurity qubit is immersed in a quasi-two-dimensional dipolar Bose-Einstein condensate whose collective excitations act as a depasing reservoir for the qubit. The relative dipole-dipole interaction strength is estimated by the probe qubit dephasing. The ultimate precision of this estimation is quantified by the quantum Fisher information, which can be obtained by means of measuring quantum coherence of the probe qubit. Our findings indicate that, in the interval where roton excitations appear, the quantum Fisher information oscillates periodically with the encoding time $t$, and the amplitude of these oscillations increases alongside the extension of $t$. Moreover, we analytically determine that the envelope curve formed by the local maximum points satisfies the functional relationship $At+Bt^{1/2}+C$ during long-term encoding scenarios, where $A$, $B$, $C$ are positive numbers. It is also revealed that the highly non-Markovian effects caused by the roton softening of the excitation spectrum allow long encoding time to serve as a resource for enhancing sensing precision. Our work provides a new pathway for enhancing the sensing precision of dephasing qubits.