In the present paper, we construct QMCs (Quantum Markov Chains) associated with Open
Quantum Random Walks such that the transition operator of the chain is defined by OQRW …

We review various unitary network models used in quantum computing, spectral analysis or
condensed matter physics and establish relationships between them. We show that …

We study a quantum walk of a single particle that is subject to stroboscopic projective
measurements on a graph with two sites. This two-level system is the minimal model of a …

The first detection of a quantum particle on a graph is shown to depend sensitively on the
distance ξ between the detector and initial location of the particle, and on the sampling time …

We outline a theory of symmetry protected topological phases of one-dimensional quantum
walks. We assume spectral gaps around the symmetry-distinguished points+ 1 and− 1, in …

How long does it take a quantum particle to return to its origin? As shown previously under
repeated projective measurements aimed to detect the return, the closed cycle yields a …

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 identically …

We consider a quantum walk where a detector repeatedly probes the system with fixed rate
1/τ until the walker is detected. This is a quantum version of the first-passage problem. We …

We consider the effect of periodic conditional no-click measurements on a quantum system.
What is the final state of such a driven system? When the system has some symmetry built …

We consider the quantum first detection problem for a particle evolving on a graph under
repeated projective measurements with fixed rate 1/τ. A general formula for the mean first …