Időpont:
2025. 11. 28. 11:15
Hely:
BME building F III, seminar room of the Institute of Physics
Előadó:
Dominik Szombathy (BME)
A szeminárium részletei:
The event is the internal pre-defense of the speaker.
Link to PhD thesis and thesis points:
Thesis abstract: "My doctoral research examines the mechanisms that generate quantum resources, which are important in realising quantum computational advantage, with a particular focus on non-stabilizerness, which characterises resources beyond entanglement.
While Clifford circuits efficiently generate entanglement, they remain classically simulable. However, the introduction of non-Clifford operations, like the T-gate, leads to a rapid transition in both spectral statistics and resource generation. My dissertation systematically examines how periodic orbit structures and spectral degeneracies in pure Clifford circuits are progressively disrupted by the presence of non-Clifford gates. This T-gate doping eventually leads to chaotic behaviour exponentially fast, and in the form of reproducing random unitary statistics, universal quantum computation. A transition can also be seen for the non-stabilizerness statistics, while only reaching random unitary behaviour linearly.
Non-stabilizerness or magic quantifies non-Cliffordness, or in other words, how far a state lies from a stabiliser state. In random unitary circuits, we quantify how magic and entanglement are generated, and while their mean values correlate, fluctuations of these resources are asymptotically independent. This work also extends the investigation of stabiliser Rényi entropy in open quantum systems under noise channels. Showing that non-trivial stabiliser Rényi entropy can emerge as a result of environmental noise."

