5 papers
Joint symmetry and dynamical accessibility in compact Hamiltonian encodings of set cover
Fabricio de Souza Luiz
Which part of a Hamiltonian spectrum is physically relevant when both the initial state and interpolation preserve several symmetries? We address this question for a compact multi-…
Scalable Quantum Walk-Based Heuristics for the Minimum Vertex Cover Problem
F. S. Luiz, A. K. F. Iwakami, D. H. Moraes +1
We propose a novel heuristic quantum algorithm for the Minimum Vertex Cover (MVC) problem based on continuous-time quantum walks (CTQWs). In this framework, the coherent propagatio…
Hardware-Efficient Hamiltonian Simulation via Trotter-Initialized Variational Optimization with Native Placement
F. S. Luiz, P. N. Ferreira, M. C. de Oliveira
Compiling time-evolution operators of the form into hardware-native gate sequences is a central bottleneck for digital quantum simulation on noisy intermediate-scal…
Information Theory of Action : Reconstructing Quantum Dynamics from Inference over Action Space
Fabricio Souza Luiz, Marcos César de Oliveira
We develop an information-theoretic reconstruction of quantum dynamics based on inference over action space. The fundamental object is a density of action states encoding the multi…
Stochastic dynamics from maximum entropy in action space
Fabricio de Souza Luiz, José Carlos Bellizotti Souza, LuÃsa Toledo Tude +1
We develop an information-theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than ind…