… quantum approximate optimization algorithm (QAOA) employs variational states generated
by a parameterized quantum … resulting from the symmetry and the locality of variational states. …

… In this section we construct a quantum circuit that prepares the level-p QAOA state for any
Isingtype … Let J be a real symmetric matrix of size n. Consider an Ising-type Hamiltonian …

… quantum advantage is possible in each context. Then, we outline the core building blocks for
quantum optimization … is a variational quantum algorithm motivated by quantum annealing …

… paper to the problem symmetries that arise from the mappings of integer problems onto qubits
… Tang, “Obstacles to variational quantum optimization from symmetry protection,” Physical …

… One strong idea is to use symmetry to generate compact circuits [… , we focus on solving
combinatorial optimization problems. … from symmetry protection,” arXiv preprint arXiv:1910.08980, …

… In this manuscript, we introduce the MOVCO, a variational quantum method to solve CO
problems with hard constraints. This method allows improving the performance of VQAs through …

… The Quantum Approximate Optimization Algorithm (QAOA) 5 … of variational quantum algorithm
with prospects of quantum … of quantum effects to solve combinatorial optimization problems…

… good at solving problems with a symmetry-broken nature, … on the strength of h protected
by the spin-flip symmetry P = ∏ i … We then optimize the full circuit using the quantum natural …

… Learning to optimize variational quantum circuits to solve combinatorial problems''.
Proceedings of the AAAI Conference on Artificial Intelligence 34, 2367–2375 (2020). …

… quantum many-body and quantum chemistry problems, Our … indicates that incorporating
symmetry into variational circuit … solve topological symmetry-protected phases in quantum many…