Dissipative entanglement generation among remote qubits via collisions with itinerant electrons
Scattering processes lie at the heart of quantum mechanics, governing not only fundamental interactions, but also modern applications in quantum technologies. In this work we investigate the dynamics of a pair of distant two-level systems subject to repeated collisions with itinerant free electrons, and specifically, how entanglement arises between the two from sequential local interactions with the mediator electrons. Starting from a minimal model, we derive closed-form expressions for the scattering amplitudes and construct the inelastic scattering matrix for a general system of multi-level scatterers. By tracing out the electron’s degrees of freedom, we obtain a reduced map for the scatterers that is completely positive and trace preserving. Specializing to two qubits, we study the effects of single and repeated collisions on entanglement, and the role of dissipation from external sources. We find that the dynamics depend greatly on the width of the energy distribution, and that resonant collisions can drive the qubits towards an entangled steady state. Our analysis suggests that the controlled collisions are a potential tool for qubit state manipulation and entanglement generation.
Jury: Rosa López, Javier Oscar, Sungguen Ryu
Zoom link: https://us06web.zoom.us/j/86521462300?pwd=D1BdrKUVmaqAoaBtItrvKpEgACpe3G.1
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