5 papers · 1 filter
Coordinate space representation for quantum simulation of scalar field theory
Gaetan Bardy, Matthieu Saubanere, Adrian Tanasa
Quantum computing provides a promising framework for the simulation of quantum field theories, where the computational cost depends both on the quantum algorithm employed and on th…
Orthogonal Quantum Krylov Diagonalisation
Hadi Rammal, Alexandre Perrin, Oumaya Ladhari +3
Quantum subspace-diagonalization methods, particularly Quantum Krylov Diagonalization (QKD), provide a promising route for computing low-energy spectra of quantum many-body Hamilto…
A 0.651-approximation to quantum Max Cut via Rydberg atoms
Tomás Crosta, Matthieu Saubanere, Felix Huber
Quantum Max Cut, also known as the anti-ferromagnetic Heisenberg Hamiltonian, is a QMA-complete problem which serves as a benchmark for approximation algorithms in quantum physics.…
Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
Hamzat A. Akande, Alexandre Perrin, Bruno Senjean +1
Determining low-energy eigenstates in electronic many-body quantum systems is a key challenge in computational chemistry and condensed-matter physics. Hybrid quantum-classical appr…
Variational minimization scheme for the one-particle reduced density matrix functional theory in the ensemble N-representability domain
Matthieu Vladaj, Quentin Marécat, Bruno Senjean +1
The one-particle reduced density-matrix (1-RDM) functional theory is a promising alternative to density-functional theory (DFT) that uses the 1-RDM rather than the electronic densi…