4 papers
Design and Analysis of an Improved Constrained Hypercube Mixer in Quantum Approximate Optimization Algorithm
Arkadiusz WoÅk, Karol CapaÅa, Katarzyna Rycerz
The Quantum Approximate Optimization Algorithm (QAOA) is expected to offer advantages over classical approaches when solving combinatorial optimization problems in the Noisy Interm…
Hitting the blinking target under stochastic resetting
Bartosz Zbik, BartÅomiej Dybiec, Karol CapaÅa +2
The first hitting times of a stochastic process, i.e., the first time a process reaches a particular level, are of significant interest across various scientific disciplines, inclu…
Modularity maximization and community detection in complex networks through recursive and hierarchical annealing in the D-Wave Advantage quantum processing units
Joan Falcó-Roget, Kacper Jurek, Barbara Wojtarowicz +2
Quantum adiabatic optimization has long been expected to outperform classical methods in solving NP-type problems. While this has been proven in certain experiments, its main appli…
Reset Induced Multimodality in Unbounded Potential
Karol CapaÅa
Resetting, as a protocol that restarts the evolution of a system, can significantly influence stochastic dynamics. One notable effect is the emergence of stationary states in unbou…