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quant-ph2026
Pathwise Random Hamiltonian Simulation
Davide Cugini
Randomized product formulas such as qDrift offer a resource-efficient alternative to deterministic Trotter--Suzuki decompositions for Hamiltonian simulation, removing their polynom…
cond-mat.stat-mech2026
State convertibility and fluctuation theorems from a dynamical reference: majorization meets martingales
Davide Cugini, Giacomo Guarnieri
State convertibility represents a fundamental concept used to determine whether a transformation is possible given a specific set of resources. Within the field of Thermodynamics,…
quant-ph2026
Resource-Optimal Importance Sampling for Randomized Quantum Algorithms
Davide Cugini, Touheed Anwar Atif, Yigit Subasi
Randomized protocols are procedures that incorporate probabilistic choices during their execution and they play a central role in quantum algorithms, spanning Hamiltonian simulatio…