4 papers
Uncertainty relation between detection probability and energy fluctuations
Felix Thiel, Itay Mualem, David Kessler +1
A classical random walker starting on a node of a finite graph will always reach any other node since the search is ergodic, namely it is fully exploring space, hence the arrival p…
Quantum total detection probability from repeated measurements II. Exploiting symmetry
Felix Thiel, Itay Mualem, David A. Kessler +1
A quantum walker on a graph, prepared in the state , e.g. initially localized at node , is repeatedly probed, with fixed frequency , to test…
Dark states of quantum search cause imperfect detection
Felix Thiel, Itay Mualem, Dror Meidan +2
We consider a quantum walk where a detector repeatedly probes the system with fixed rate until the walker is detected. This is a quantum version of the first-passage problem.…
Uncertainty and symmetry bounds for the quantum total detection probability
Felix Thiel, Itay Mualem, David A. Kessler +1
We investigate a generic discrete quantum system prepared in state , under repeated detection attempts aimed to find the particle in state , for exa…