Optimal quantum sensing of the nonlinear bosonic interactions using Fock states

Fuente: arXiv
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Main Authors: Mahmoudi, Payman, Ritboon, Atirach, Filip, Radim
Format: Preprint
Published: 2024
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author Mahmoudi, Payman
Ritboon, Atirach
Filip, Radim
author_facet Mahmoudi, Payman
Ritboon, Atirach
Filip, Radim
contents Nonlinear processes with individual quanta beyond bilinear interactions are essential for quantum technology with bosonic systems. Diverse coherent splitting and merging of quanta in them already manifest in the estimation of their nonlinear coupling from observed statistics. We derive non-trivial, but optimal strategies for sensing the basic and experimentally available trilinear interactions using non-classical particle-like Fock states as a probe and feasible measurement strategies. Remarkably, the optimal probing of nonlinear coupling reaches estimation errors scaled down with $N^{-1/3}$ for overall $N$ of quanta in specific but available high-quality Fock states in all interacting modes. It can reveal unexplored aspects of nonlinear dynamics relevant to using such nonlinear processes in bosonic experiments with trapped ions and superconducting circuits and opens further developments of quantum technology with them.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17914
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
Mahmoudi, Payman
Ritboon, Atirach
Filip, Radim
Quantum Physics
Nonlinear processes with individual quanta beyond bilinear interactions are essential for quantum technology with bosonic systems. Diverse coherent splitting and merging of quanta in them already manifest in the estimation of their nonlinear coupling from observed statistics. We derive non-trivial, but optimal strategies for sensing the basic and experimentally available trilinear interactions using non-classical particle-like Fock states as a probe and feasible measurement strategies. Remarkably, the optimal probing of nonlinear coupling reaches estimation errors scaled down with $N^{-1/3}$ for overall $N$ of quanta in specific but available high-quality Fock states in all interacting modes. It can reveal unexplored aspects of nonlinear dynamics relevant to using such nonlinear processes in bosonic experiments with trapped ions and superconducting circuits and opens further developments of quantum technology with them.
title Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
topic Quantum Physics
url https://arxiv.org/abs/2404.17914