Senior Research Fellow (Quantum Reservoir Computing and Quantum Machine Learning)

Nanyang Technological University; Singapore; On-site; SGD 120,000 - 180,000; Full time

Job summary

Nanyang Technological University’s School of Physical and Mathematical Sciences invites a Senior Research Fellow to advance the theoretical foundations of quantum reservoir computing. The role focuses on memory and echo state properties in input-driven open quantum dynamics, learnability for temporal quantum learning, and kernel methods, with research stays at the University of Tokyo.

The successful candidate will coordinate with the NTU and Tokyo teams, supervise a graduate student, and publish

Qualifications

• PhD in mathematics, applied mathematics, physics, control theory, electrical engineering, or a related field with 4 years of relevant experience.
• Research record in open quantum systems, quantum control, quantum stochastic processes, quantum information, or the mathematics of dynamical systems and machine learning.
• Knowledge of input-driven and stochastic dynamical systems, operator theory, or functional analysis; familiarity with kernel/RKHS methods or statistical learning theory is a strong advantage.
• Publications in leading journals and the ability to produce original theoretical results.
• Proficiency in Python, MATLAB, or Julia for numerical work.
• Excellent communication skills, ability to work independently and in international collaborations, and willingness to travel for research stays.

Responsibilities

• Analyse memory and echo state properties of quantum reservoirs, including non-Markovian and infinite-dimensional settings.
• Extend stochastic state-space and state-affine frameworks to quantum reservoirs with measurement-induced randomness.
• Derive learnability and generalization guarantees for temporal quantum learning.
• Construct and analyse quantum reservoir-induced kernels and associated finite-sample bounds.
• Run numerical simulations and benchmarks validating the theory.
• Publish in leading journals, present at international conferences, and support project workshops and the associated international conference.
• Coordinate with the Japan-based team and collaborators, and co-supervise a graduate student.

Skills

Memory and echo state properties

Open quantum systems

Kernel / RKHS methods

Machine learning theory

Excellent communication

Education

PhD in mathematics/physics/engineering

Tools

Python

MATLAB

Julia

Job description

The School of Physical and Mathematical Sciences at Nanyang Technological University hosts the Division of Mathematical Sciences, which combines strength in pure and applied mathematics, statistics, and mathematical data science, with an active programme at the interface of dynamical systems, machine learning, and quantum information. The position sits in the GOAL group (GeOmetry, dynAmics, and Learning), led by Prof. Juan-Pablo Ortega. We are looking for a Senior Research Fellow to contribute to the theoretical foundations of quantum reservoir computing within a JST–A*STAR joint project carried out with Prof. Kohei Nakajima's group at the University of Tokyo and collaborators in Thailand, Switzerland, and Spain. The role focuses on the mathematical analysis of input-driven open quantum dynamics: memory and echo state properties, learnability and generalization for temporal quantum learning, stochastic universality, and quantum reservoir-induced kernels. The fellow will act as the main scientific link between the NTU and Tokyo teams, with research stays at the University of Tokyo.

Key Responsibilities

• Analyse memory and echo state properties of quantum reservoirs, including non-Markovian and infinite-dimensional settings.
• Extend stochastic state-space and state-affine frameworks to quantum reservoirs with measurement-induced randomness.
• Derive learnability and generalization guarantees for temporal quantum learning.
• Construct and analyse quantum reservoir-induced kernels and associated finite-sample bounds.
• Run numerical simulations and benchmarks validating the theory.
• Publish in leading journals, present at international conferences, and support project workshops and the associated international conference.
• Coordinate with the Japan-based team and collaborators, and co-supervise a graduate student.

Job Requirements

• PhD in mathematics, applied mathematics, physics, control theory, electrical engineering, or a related field with 4 years of relevant experience.
• Research record in open quantum systems, quantum control, quantum stochastic processes, quantum information, or the mathematics of dynamical systems and machine learning.
• Knowledge of input-driven and stochastic dynamical systems, operator theory, or functional analysis; familiarity with kernel/RKHS methods or statistical learning theory is a strong advantage.
• Publications in leading journals and the ability to produce original theoretical results.
• Proficiency in Python, MATLAB, or Julia for numerical work.
• Excellent communication skills, ability to work independently and in international collaborations, and willingness to travel for research stays.

Hiring Institution

Hiring Institution: NTU A research-intensive public university, Nanyang Technological University, Singapore (NTU Singapore) has 33,000 undergraduate and postgraduate students in the Engineering, Business, Science, Humanities, Arts, & Social Sciences, and Graduate colleges. It also has a medical school, the Lee Kong Chian School of Medicine, established jointly with Imperial College London. NTU is also home to world-class autonomous institutes – the National Institute of Education, S Rajaratnam School of International Studies, Earth Observatory of Singapore, and Singapore Centre for Environmental Life Sciences Engineering – and various leading research centres such as the Nanyang Environment & Water Research Institute (NEWRI) and Energy Research Institute @ NTU (ERI@N). Ranked amongst the world’s top universities by QS, NTU has also been named the world’s top young university for the past seven years. The University’s main campus is frequently listed among the Top 15 most beautiful university campuses in the world and has 57 Green Mark-certified (equivalent to LEED-certified) buildings, of which 95% are certified Green Mark Platinum. Apart from its main campus, NTU also has a campus in Novena, Singapore’s healthcare district. Under the NTU Smart Campus vision, the University harnesses the power of digital technology and tech-enabled solutions to support better learning and living experiences, the discovery of new knowledge, and the sustainability of resources. For more information, visit www.ntu.edu.sg About NIE About RSIS About LKCMedicine About NTUItive