127 citations · 362 across the 27 of their papers we have counts for
7 papers · 1 filter
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…
The first detection time of a quantum state under random probing
David A. Kessler, Eli Barkai, Klaus Ziegler
We solve for the statistics of the first detection of a quantum system in a particular desired state, when the system is subject to a projective measurement at independent identica…
Non-Hermitian and Zeno limit of quantum systems under rapid measurements
Felix Thiel, David A. Kessler
We investigate in depth the relation between the first detection time of an isolated quantum system that is repeatedly perturbed by strong local measurements with a large fixed fre…
Quantization of the mean decay time for non-Hermitian quantum systems
Felix Thiel, David A. Kessler, Eli Barkai
We show that the mean time, which a quantum particle needs to escape from a system to the environment, is quantized and independent from most dynamical details of the system. In pa…
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.…