4 papers · 1 filter
Phase transitions in first-detection statistics of monitored long-range quantum walks
Sayan Roy, Shamik Gupta, Giovanna Morigi +1
In a quantum walk, the first-detection return probability (FDRP) characterizes salient features, determining whether the quantum walk is transient or recurrent. We study the FDRP o…
A spectral viewpoint on the single defect tight-binding chain
Sayan Roy
We analyze the time evolution of the nearest-neighbour tight-binding chain in the presence of a single onsite defect. Such a defect was shown to generate non-trivial transport beha…
Time complexity of a monitored quantum search with resetting
Emma C. King, Sayan Roy, Francesco Mattiotti +3
Searching a database is a central task in computer science and is paradigmatic of transport and optimization problems in physics. For an unstructured search, Grover's algorithm pre…
Causality, localization, and universality of monitored quantum walks with long-range hopping
Sayan Roy, Shamik Gupta, Giovanna Morigi
A powerful strategy to accelerate quantum-walk-based search algorithms leverages on resetting protocols, where a detector monitors a target site and the evolution of the walker is…