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Exact Leg-Cut Influence Functional and Emergence of Gaussian Entanglement Theory in a Statistical-Dressing Ladder Model
Babatunde Moses Ayeni
The emergence of Gaussian effective field theories in low-dimensional quantum systems is traditionally understood through top-down frameworks such as bosonization and Luttinger-liq…
Native topological readout on qubit hardware: a Fibonacci-chain benchmark of measurement-compilation trade-offs
Babatunde Moses Ayeni
Recent demonstrations of non-Abelian braiding of graph vertices on noisy intermediate-scale quantum (NISQ) superconducting processor, and the experimental realization of topologica…
Efficient particle-conserving brick-wall quantum circuits
Babatunde M. Ayeni
In variational quantum optimization with particle-conserving quantum circuits, it is often difficult to decide a priori which particle-conserving gates and circuit ansatzes would b…
A Bottom-up Approach to Constructing Symmetric Variational Quantum Circuits
Babatunde M. Ayeni
In the age of noisy quantum processors, the exploitation of quantum symmetries can be quite beneficial in the efficient preparation of trial states, an important part of the variat…
Studies of braided non-Abelian anyons using anyonic tensor networks
Babatunde M. Ayeni
The content of this thesis can be broadly summarised into two categories: first, I constructed modified numerical algorithms based on tensor networks to simulate systems of anyons…