* Venue | E C G Sudarshan Hall |
* Speaker | Eli Barkai |
* Title | Restart uncertainty principle for monitored quantum dynamics |
Affiliation | Physics Dept., Bar-Ilan University, Israel |
Abstract | The first hitting time of a stochastic process is a fundamental concept for understanding when an event occurs for the first time. Using quantum dynamics with repeated measurements, we explore first hitting time problems in quantum walks on graphs and many-body qubit systems [1]. These are closely tied to the quantum search problem. Key topics include dark states and symmetry, recurrence time quantization, topological aspects, and the role of fluctuations and resonances in hitting times. Dark states hinderfast quantum search, but we demonstrate how a restart strategy overcomes this challenge [2]. Using mid-circuit measurements on an IBM quantum computer, we derive a novel time-energy uncertainty principle to describe resonances in hitting times [3]. References [1] H. Friedman, D. Kessler, and E. Barkai Quantum walks: the first detected passage time problem Phys. Rev. E. 95, 032141 (2017). Editor’s suggestion. [2] R. Yin, E. Barkai Restart expedites quantum walk hitting times Phys. Rev. Lett. 130, 050802 (2023). [3] R. Yin, Q. Wang, S. Tornow, and E. Barkai, Restart uncertainty relation for monitored quantum dynamics Proceedings of the National Academy of Sciences (in press). |
* Announcement? | Institute |
* Refreshments? | Before the event |
* Honorarium? | None |
Special Arrangements? | Digital Projection |
* Host name and email | Arnab Pal @@ arnabpal@imsc.res.in |