3 papers
quant-ph2026
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…
quant-ph2026
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…
quant-ph2025
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…