Quantum information
Research
Structure, noise, and finite resources in quantum information processing.
I study how algebraic and graph-theoretic structure can make quantum information processing in noisy multipartite and distributed systems scalable and resource efficient. My work uses stabilizer and graph states, Clifford symmetries, and compact noise models to reduce the cost of simulating and optimizing quantum protocols.
My goal is to turn these descriptions into practical tools for state preparation, entanglement processing, quantum error correction, and fault-tolerant circuit design.
Preprints · entanglement distillation
For GHZ states, I characterized local Clifford operations that preserve the GHZ basis and represented their action using affine transformations of compact binary labels. This supports efficient gate updates and the optimization of noisy distillation circuits.
I then extended this approach to graph states. Bipartiteness and leaf structure constrain factorized graph-preserving operations. Organizing these operations across local-complementation orbits connects purification circuits for locally Clifford-equivalent states.
GHZ and graph-state distillation →
Manuscript in preparation
A local purification step changes both the errors near its target and the correlations that influence later steps. I study how to choose the order of partial-distillation operations by identifying equivalent sequences and organizing their history-dependent costs.
To evaluate candidate sequences efficiently, I developed PairMoment. Its O(n²) state representation tracks single-vertex error probabilities and pair correlations, rather than the full graph-basis probability distribution.
Partial distillation and PairMoment →
Ongoing research
Different construction plans can produce the same ideal graph state while leaving different error distributions. I am studying which distributions are reachable from a restricted library of noisy resource states and fusion operations.
My goal is to select decompositions and fusion plans according to the downstream task, including quantum-network and error-correction protocols.
Shaping error distributions during synthesis →
Future directions
Quantum resource and circuit design
I want to extend this work in two connected directions: shaping the errors in a prepared resource, and choosing an equivalent representation that lowers its physical implementation cost.
Resource design for quantum networks and error correction
In quantum networks, I aim to bring unequal links, finite memories, probabilistic entanglement generation, and scheduling into the resource-design problem.
For distributed fault-tolerant systems, I aim to optimize how encoded or logical entanglement is generated and delivered according to the operations it must support. This connects resource preparation and purification to the requirements of distributed fault-tolerant protocols.
For error correction, I am interested in optimizing ancillary states according to the effective syndrome or logical-error model they induce.
Local Clifford representations and hardware-software co-design for QEC
I plan to treat local Clifford (LC) orbits as a hardware-aware compilation space for stabilizer checks and small syndrome-extraction blocks. I would search equivalent graph realizations, compare their two-qubit gate counts, depth, routing requirements, and correlated-fault exposure, and evaluate promising candidates under circuit-level noise.
The preferred representation depends on hardware connectivity and noise, so minimum-edge structure is a starting point rather than the final objective. I aim to extend this approach to repeated syndrome extraction and modular fault-tolerant primitives, and ultimately co-design graph representatives, syndrome-extraction circuits, and hardware architectures to reduce logical error rates.
Methods & software
My tools include stabilizer and Clifford methods, graph algorithms, Monte Carlo simulation, and combinatorial and numerical optimization. I develop scientific software in Julia and also work with Python, MATLAB, and Linux/HPC environments using Slurm.
Explore my publications and academic background.