Quantum 2025 – scientific programme
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THU: Thursday Contributed Sessions
THU 13: Poster Session: Applications
THU 13.25: Poster
Thursday, September 11, 2025, 16:30–18:30, ZHG Foyer 1. OG
First Hitting Times through Indirect Measurements — •Tim Heine1, Eli Barkai2, Klaus Ziegler3, and Sabine Tornow4 — 1Institute of Quantum Technologies, German Aerospace Center (DLR), Ulm, Germany) — 2Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan, Israel — 3Institut für Physik, Universität Augsburg, Augsburg, Germany — 4Research Institute CODE, Universität der Bundeswehr München, Munich, Germany
We study the first detected return time problem of continuous-time quantum walks on graphs. While previous works have employed projective measurements to determine the first return time, we implement a protocol based on weak, indirect measurements on a dilated system, enabling minimally invasive monitoring throughout the evolution. To achieve this, we extend the theoretical framework and complement it with both numerical simulations and experimental investigations on an IBM quantum computer. Despite the implementation of a generalized measurement, our modified formalism of indirect recurrence provides a description purely within the Hilbert space of the quantum system. Our results reveal that the first hitting time scales inversely with the coupling parameter between the ancilla and the quantum system.
Keywords: weak measurements; stochastic processes; quantum computing; quantum theory