4 papers
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…
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…
Fiber transmission of cluster states via multi-level time-bin encoding
Philip Rübeling, Robert Johanning, Jan Heine +2
The next generation of telecommunication networks will rely on the transmission of complex quantum states to enable secure and transformative information processing, utilizing enta…
Resonance Cascades and Number Theory
Oleksandr V. Marchukov, Maxim Olshanii
In this article, we are interested in situations where the existence of a contiguous cascade of quantum resonant transitions is predicated on the validity of a particular statement…