Responsibilities:
- Combine tensor-network representations with quantum trajectory unravelings of the Lindblad master equation to simulate multi-mode operations
- Verify the numerical robustness of the simulations (Hilbert-space and bond-dimension truncation, solver stability and precision)
2. Estimate error probabilities and rates
- Extract quantitative estimates of error probabilities and rates from the simulated trajectories
- Assess the statistical reliability of these estimates and their dependence on simulation parameters
- Compare estimates against exact master-equation results where they exist and against theoretical predictions
- Quantify the computational cost and scaling of the method relative to standard density-matrix simulation
- Analyse simulated trajectories to characterise the underlying error mechanisms
- Identify and explain discrepancies between simulated behaviour and theoretical expectations
- Document methods, code and results for reuse by the team
- Present progress in regular team meetings and formulate recommendations for extending these simulation methods to further multi-qubit operations
Requirements:
- EDUCATION: Master's degree (M2 or equivalent final year) in progress in physics, quantum engineering, applied mathematics or a related field
- LANGUAGES: Proficient in English
- Good understanding of quantum mechanics and open quantum systems (density matrices, Lindblad master equations)
- Programming experience in Python or Julia for scientific computing
- Autonomy and comfort with open-ended research questions that have no guaranteed answer
- Clear technical communication and a collaborative attitude within a multidisciplinary team
- EXPERIENCE: No prior professional experience required
Nice to have:
- Familiarity with quantum trajectories and stochastic unraveling
- Exposure to tensor-network methods (e.g. matrix product states)
- Knowledge of Monte Carlo methods
- Experience with Julia, numerical ODE/SDE solvers, or GPU-accelerated and high-performance computing
- Habit of rigorous numerical practice (convergence checks, truncation control, precision and solver choice)
- Experience reading and applying current research literature
- A previous research, project or internship in quantum physics or scientific computing is an asset