Optimal quantum sensing of the nonlinear bosonic interactions using Fock states

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 nontrivial bu...

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Main Authors: Payman Mahmoudi, Atirach Ritboon, Radim Filip
Format: Article
Language:English
Published: American Physical Society 2024-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.043215
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author Payman Mahmoudi
Atirach Ritboon
Radim Filip
author_facet Payman Mahmoudi
Atirach Ritboon
Radim Filip
author_sort Payman Mahmoudi
collection DOAJ
description 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 nontrivial but optimal strategies for sensing the experimentally feasible trilinear interactions, served here as basic gates and examples of multimode nonlinear interactions, using nonclassical particlelike Fock states as a probe and feasible measurement strategies. Remarkably, the optimal probing of nonlinear coupling reaches estimation errors scaled down with N^{−3/2} for overall N of quanta in specific and 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.
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publisher American Physical Society
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series Physical Review Research
spelling doaj-art-fa009a1e715c438d9b1cf2a1b88203c32024-11-27T15:01:38ZengAmerican Physical SocietyPhysical Review Research2643-15642024-11-016404321510.1103/PhysRevResearch.6.043215Optimal quantum sensing of the nonlinear bosonic interactions using Fock statesPayman MahmoudiAtirach RitboonRadim FilipNonlinear 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 nontrivial but optimal strategies for sensing the experimentally feasible trilinear interactions, served here as basic gates and examples of multimode nonlinear interactions, using nonclassical particlelike Fock states as a probe and feasible measurement strategies. Remarkably, the optimal probing of nonlinear coupling reaches estimation errors scaled down with N^{−3/2} for overall N of quanta in specific and 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.http://doi.org/10.1103/PhysRevResearch.6.043215
spellingShingle Payman Mahmoudi
Atirach Ritboon
Radim Filip
Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
Physical Review Research
title Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
title_full Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
title_fullStr Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
title_full_unstemmed Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
title_short Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
title_sort optimal quantum sensing of the nonlinear bosonic interactions using fock states
url http://doi.org/10.1103/PhysRevResearch.6.043215
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