3 papers
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-ph2026
Nonlinear quantum Kibble-Zurek ramps in open systems at finite temperature
Johannes N. Kriel, Emma C. King, Michael Kastner
We analyze quantum systems under a broad class of protocols in which the temperature and a Hamiltonian control parameter are ramped simultaneously and, in general, in a nonlinear f…
quant-ph2025
Optimal spatial searches with long-range tunneling
Emma C. King, Moritz Linnebacher, Peter P. Orth +2
A quantum walk on a lattice is a paradigm of a quantum search in a database. The database qubit strings are the lattice sites, qubit rotations are tunneling events, and the target…