4 papers
Relation between winding numbers and energy dispersions
Quancheng Liu, Klaus Ziegler
Two-band Hamiltonians provide a typical description of topological band structures, in which the eigenfunctions can be characterized by a %Bloch vector field whose winding number t…
Quantum Walks: First Hitting Times with Weak Measurements
Tim Heine, Eli Barkai, Klaus Ziegler +1
We study the first detected recurrence time problem of continuous-time quantum walks on graphs. While previous works have employed projective measurements to determine the first re…
Entanglement of bosonic systems under monitored evolution
Quancheng Liu, Klaus Ziegler
The evolution of non-interacting bosons in the presence of repeated projective measurements is studied. Following the established approach, this monitored evolution is characterize…
First Hitting Times on a Quantum Computer: Tracking vs. Local Monitoring, Topological Effects, and Dark States
Qingyuan Wang, Silin Ren, Ruoyu Yin +3
We investigate a quantum walk on a ring represented by a directed triangle graph with complex edge weights and monitored at a constant rate until the quantum walker is detected. To…