Abstract

We study the behavior of quantum Fisher information for a qubit probe that is interacting with a squeezed thermal environment. We analyzed the effect of squeezing parameters on the dynamics of quantum Fisher information which affects the optimal precision of the estimation parameter. We show that the squeezed field may offer a significant role in the precise measurement of the parameter cut-off frequency which is linked to the environment correlation time. Our results may be useful in quantum metrology, communication, and quantum estimation processes.

Highlights

  • Quantum Fisher information (QFI) is a core concept in quantum metrology and quantum parameter estimation because it establishes a lower bound for parameters estimation [1] [2] [3] [4] [5]

  • We study the behavior of quantum Fisher information for a qubit probe that is interacting with a squeezed thermal environment

  • We have theoretically studied the dynamics of quantum Fisher information for a qubit probe that is interacting with a squeezed thermal environment

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Summary

Introduction

Quantum Fisher information (QFI) is a core concept in quantum metrology and quantum parameter estimation because it establishes a lower bound for parameters estimation [1] [2] [3] [4] [5]. In such situations, it is essential to study the dynamics of QFI which quantifies the quality of transmitted information. We investigate the dynamics of QFI for a qubit probe interacting with a squeezed thermal environment. This model is well considered to describe the physical systems which include molecular oscillation, the exciton-phonon interaction, and the photosynthesis process [25] [26] [27]. We notice that squeezing enhances the QFI with respect to time and cut-off frequency which depicts the possibility for precise estimation of cut-off frequency which will increase the environment correlation time.

Physical Model
Quantum Fisher Information
Numerical Results and Discussion
Conclusion
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