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Your role and responsibilities
IBM Research is seeking aResearch Scientistwith a strong background inQuantum Information and Quantum Algorithmsto design and analyze algorithms for solvingclassical differential equations on quantum computers.
The role focuses on:
Embedding nonlinear dynamics into linear—potentially infinite-dimensional—systems(e.g., Koopman/Carleman lifts, semigroup formalisms), and
Encoding linear dynamics as efficient quantum circuitsfor time evolution (e.g., block-encodings, qubitization, LCU, QSP/SVT).
You will translate problem formulations (ODEs/PDEs, operator semigroups, discretizations) intoquery-model statements, defineoracle and state-preparation assumptions, and designfault-tolerant-compatiblecircuits with end-to-endresource estimates.
You'll benchmark quantum pipelines against classical baselines under matched accuracy and data-loading assumptions.
Key responsibilities include:
Hamiltonian & dissipative simulation:Develop and refineend-to-end time-evolution algorithmsfors-sparseHamiltonians andlinear dissipative dynamics(e.g., dissipative perturbations of Hamiltonian flows).
Block-encodings & signal processing:Constructblock-encodingsof discretized operators; employLCU,QSP/SVT,qubitization, andoblivious amplitude amplificationfor evolution, solvers, and transforms.
Oracles & data access models:Formalizeoracle definitionsfor operator sparsity/structure, boundary conditions, right-hand sides/initial data, andstate preparation(incl. amplitude encoding and alternatives), articulatingQRAM/streamingor other data assumptions.
Complexity & lower bounds:Analyzequery and gate complexity, robustness vs.conditioning and precision, and—where appropriate—connect toHamiltonian complexityand reductions that inform feasibility or limitations.
Fault-tolerant resource estimation:Produce qubit/T-count/depth estimates under plausibleerror-correctionassumptions (e.g., LDPC code parameters, target logical error rates), identify bottlenecks, and pursuecomplexity and constant-factor improvements.
Benchmarking & validation:Establish fairquantum–classical comparisons(accuracy targets, discretization choices, conditioning/preconditioning) and run prototype benchmarks inPython/Qiskit.
Community engagement:Collaborate across quantum information, numerical algorithms, and dynamical systems communities; contribute to working groups, open-source artifacts, and publications.
Location:Dublin, Ireland (primary, for EU candidates)
Note:Exceptional US candidates may be considered for roles at select US IBM Research locations.
Required education
Doctorate Degree
Preferred education
Doctorate Degree
Required technical and professional expertise
PhD (or equivalent research experience) in Quantum Information/Quantum Computing, Quantum Algorithms, Theoretical Computer Science, or a closely related field.
Demonstrated experience in at least two of:
Hamiltonian simulation(s-sparse or structured cases),LCU,QSP/SVT,qubitization,block-encodings
Amplitude amplification/estimation,phase estimation, orquantum linear systemsmethods
Query/gate complexityanalysis and oracle modeling (data access assumptions, state prep)
Proficiency prototyping inPython; experience withQiskitor willingness to ramp quickly.
Preferred technical and professional experience
Publications in quantum algorithms/quantum information or related top-tier venues.
Experience formulating oracles for discretized operators and state-preparation pipelines (e.g., for PDE RHS/IC/BC).
Familiarity with fault-tolerant costing (T-count/T-depth, surface-code logical qubits, target logical error budgets) and noise-awareconsiderations for earlier prototypes.
Comfort engaging with numerical analysis concepts (conditioning, preconditioning, discretization error) sufficient to set fair benchmarks vs. classical methods.
Hands-on with Git/GitHub and collaborative research workflows.
Experience running quantum demonstrations or building precise classical baselines for comparison.
Experience contributing to proposals and grants.
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OTHER RELEVANT JOB DETAILS
For additional information about location requirements, please discuss with the recruiter following submission of your application.
Job Title
Research Scientist – Quantum Algorithms for Differential Equations
Job ID
*****
City / Township / Village
Dublin
State / Province
Dublin
Country
Ireland
Work arrangement
Onsite
Area of work
Research
Employment type
Regular
Position type
Professional
Some travel may be required based on business demand
Company
*****) IBM Ireland Limited
Shift
General (daytime)
Is this role a commissionable/sales incentive based position?
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