10:30
11:30

Variational Quantum Algorithms (VQAs) are a leading approach for near-term quantum optimization, with the Quantum Approximate Optimization Algorithm (QAOA) providing a natural bridge to digitized Quantum Annealing (dQA). However, finite circuit depth and noise prevent strictly adiabatic dynamics, motivating the use of Shortcuts to Adiabaticity (STA).

In this seminar, we show STA-inspired extensions of QAOA and analyze their dynamical and resource-theoretic properties. We introduce QAOA-2CD, an improved counterdiabatic formulation that incorporates higher-order corrections from the Baker–Campbell–Hausdorff expansion, yielding a more accurate effective Hamiltonian within a variational framework. We then establish a novel connection between QAOA performance and spectral properties, showing that spectral features influence optimization beyond the regime where QAOA and dQA coincide. Finally, we analyze Trotterization errors in dQA and investigate the evolution of nonstabilizerness as a quantum computational resource.

https://combalgo.labri.fr/pmwiki.php/Groupe/Info-Quantique

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