Research Internship: Quantum Computing and AI for Partial Differential Equations

IBM

Confirmed live today High trust

Quick summary

Work type
On-site
Location
—
Employment
Intern
Posted
12 days ago
Freshness
Confirmed live today

Market check

Salary context

How this pay compares to similar roles

Similar $181k
$111k most similar roles pay here $267k

This listing doesn't post a salary. Most similar roles pay $126,350–$235,750.

Based on 240 similar postings.

Employer

About IBM

IBM is a US-based global technology company providing hybrid cloud, AI, consulting, enterprise software, and IT infrastructure products and services.

IBM currently has 229 open roles on FindRole.

Most-posted roles

View all roles at IBM

At a glance

TL;DR · Research Internship: Quantum Computing and AI for Partial Differential Equations

Research internship: Quantum computing and AI for partial differential equations 2027 is a role within the Algorithms and Applications for PDEs team. The intern will contribute to the research agenda by developing algorithms and models, performing experimentation and validation, implementing quantum solvers, training AI models, or creating cross-platform workflows. This work addresses the challenge of solving forward and inverse problems for partial differential equations where traditional scaling limits are encountered. The role requires a working understanding of partial differential equations, elementary statistics, and proficiency in Python using NumPy. Preferred qualifications include research experience in applied mathematics, quantum computing, or AI models for PDEs. Specific technical expertise may include data assimilation methods, neural operators, Hamiltonian simulation, QSP/SVT, and various discretization methods like FEM or FDM to bridge the gap between scientific computing and emerging technologies.

What you'll do

  • Develop and implement quantum solvers for solving partial differential equations (PDEs).
  • Train and develop AI models, including neural operators, for forward and inverse problems.
  • Create cross-platform workflows that integrate quantum computing, artificial intelligence, and conventional numerical methods.
  • Conduct research experiments to validate algorithms across different computational paradigms.
  • Develop data assimilation methods such as Kalman filtering or score-based algorithms.
  • Perform analysis on discretization methods, PDE solvers, and preconditioning for large-scale systems.
  • Prepare technical reports and participate in group discussions regarding research findings.

What we're looking for

  • Master's Degree (preferred).
  • Working understanding of partial differential equations from a theoretical or application-oriented perspective.
  • Proven experience prototyping in python (numpy).
  • Research experience in applied mathematics, AI models for PDEs, or quantum computing.
  • Experience with data assimilation, neural operators, or specific quantum algorithms like Hamiltonian simulation and QSP/SVT (preferred).
  • Experience with discretization methods, PDE solvers, model reduction, software engineering skills, or a publication record (preferred).

More like this

Similar roles

Quantum Performance and Demonstrations Intern

IBM

8 days ago
Quantum Computing Qiskit Python NumPy SciPy Matplotlib Quantum Information Science High Performance Computing AI Hybrid Cloud Scientific Computing Linear Algebra Noise Modeling Error Mitigation Quantum Simulation

Quantum Algorithms and Quantum Machine Learning Intern

IBM

19 days ago
Quantum Computing Quantum Algorithms Machine Learning Quantum Machine Learning Python Qiskit Scientific Python Libraries Git GitHub High Performance Computing Hybrid Cloud Linear Algebra Probability Optimization Numerical Methods Quantum Simulation Quantum Chemistry Many-body Physics