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quant-ph2025
Achieving quantum advantage in a search for a violations of the Goldbach conjecture, with driven atoms in tailored potentials
Oleksandr V. Marchukov, Andrea Trombettoni, Giuseppe Mussardo +1
The famous Goldbach conjecture states that any even natural number greater than can be written as the sum of two prime numbers and . In th…
quant-ph2025
Quantum dynamics of atoms in number-theory-inspired potentials
D. Cassettari, O. V. Marchukov, B. Carruthers +8
In this paper we study transitions of atoms between energy levels of several number-theory-inspired atom potentials, under the effect of time-dependent perturbations. First, we sim…
quant-ph2024
Reflection and Transmission Amplitudes in a Digital Quantum Simulation
Giuseppe Mussardo, Andrea Stampiggi, Andrea Trombettoni
In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a…