8 papers
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…
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,…
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…
Spectral Gap Estimation via Adiabatic Preparation
Davide Cugini, Francesco Ghisoni, Angela Rosy Morgillo +1
Estimating energy gaps, i.e. the energy difference between two different states, in quantum systems is crucial for understanding their properties. Conventionally, spectral gap esti…
Symmetry-guided quantum state preparation: Branched-Subspaces Adiabatic Preparation (B-SAP)
Davide Cugini, Giacomo Guarnieri, Mario Motta +1
Quantum state preparation lies at the heart of quantum computation and quantum simulations, enabling the investigation of complex manybody systems across physics, chemistry, and da…
Universal emergence of local Zipf-Mandelbrot law
Davide Cugini, André Timpanaro, Giacomo Livan +1
A plethora of natural and socio-economic phenomena share a striking statistical regularity, that is the magnitude of elements decreases with a power law as a function of their posi…
Exponential optimization of adiabatic quantum-state preparation
Davide Cugini, Davide Nigro, Mattia Bruno +1
The preparation of a given quantum state on a quantum computing register is a typically demanding operation, requiring a number of elementary gates that scales exponentially with t…
Spectral Gap Superposition States
Davide Cugini, Francesco Ghisoni, Angela Rosy Morgillo +1
This work introduces a novel NISQ-friendly procedure for estimating spectral gaps in quantum systems. By leveraging Adiabatic Thermalization, we are able to create the Spectral Gap…