Research

My research lies at the interface of quantum information, quantum simulation, and computational complexity. I am particularly interested in identifying the boundary between classically tractable and intractable problems, and in understanding how this boundary manifests in realistic quantum systems. While I use the first person singular to describe my research, much of this work is carried out in collaboration with colleagues and students.

For a complete list of my publications see

arXiv

Google Scholar

ORCID

Quantum-Classical Interfaces

A recurring theme in my work is combining classical and quantum methods in a meaningful way. For example, I study how classical preprocessing can simplify quantum algorithms by identifying and isolating the genuinely hard parts of a computation. This leads to more efficient quantum circuits—for instance in Hamiltonian simulation, where classically optimized circuits can significantly outperform standard Trotter approaches at the same cost.

More generally, I am interested in designing hybrid workflows where classical routines guide quantum computations. This includes replacing quantum optimization with classical pre-processing, improving measurement strategies, and developing new approaches to state preparation.

Publications

Classical Simulation of Quantum Systems

From the opposite perspective, I look at how far classical methods can go in simulating quantum systems. This involves identifying structure in quantum dynamics that allows for efficient classical descriptions, even when the system itself is large.

I am also interested in connecting these questions to tensor networks and resource theories, with the goal of understanding which physical properties make a system hard to simulate and how this is reflected in its structure.

Publications

RM, Adil, Hartmann, Holmes, Sornborger. PRX Quantum 5, 030306 (2024)

Complexity of Quantum Dynamics

Another direction of my research focuses on the computational complexity of quantum dynamics. I study how different physical models—such as quantum walks or oscillator systems—relate to each other from a computational point of view, and how complexity emerges from their structure.

This includes identifying classes of systems that are as powerful as general quantum computation, as well as regimes where small changes in the model lead to sharp increases in computational complexity.

Publications

Holographic Loop Quantum Gravity

I am also interested in connections between quantum information and quantum gravity, in particular within loop quantum gravity. Here, I study how matter and geometry interact at the quantum level, and how constraints such as gauge invariance shape the structure of physical states.

This leads naturally to questions about entanglement and tensor networks, and to connections with holography. In this context, I explore how ideas from quantum information—such as highly entangled states or quantum error-correcting codes—can be realized (or are constrained) in models of quantum geometry.

Publications

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