Laflamme. Quantum algorithms for fermionic simulations. Phys. Rev. A, 64:022319, Jul 2001.Ortiz G, Gubernatis JE, Knill E, Laflamme R (2001)Quantum algorithms for fermionic simulations.Phys Rev A 64(2):022319; http://arXiv.org/cond-mat/0012334...
The idea to use quantum processors for simulating quantum systems dates back to Feynman1 and was later formalized by Lloyd,2 who together with Abrams, also developed the first algorithms for simulating fermions.3 The idea to use such simulations to prepare ground states in quantum chemistry was ...
Quantum algorithms for quantum field theories. Science 336, 1130–1133 (2012). 46. Jordan, S. P., Lee, K. S. M. & Preskill, J. Quantum algorithms for fermionic quantum field theories. Preprint at https://arxiv.org/abs/1404.7115 (2014). 47. Somma, R. D. Quantum simulations of one...
Moreover, standard numerical methods such as quantum Monte Carlo algorithms, do not converge for fermionic systems. Indeed, neither fermionic models in more than one dimension nor systems with the well-known sign problem [5] can be efficiently simulated employing a classical computer. Quantum ...
At present HMC codes mostly use iterative solvers, such as various versions of preconditioned Conjugate Gradient, GMRes and BiCGStab algorithms. While iterative solvers are very efficient for well-conditioned sparse matrices, in the vicinity of phase transitions the fermionic matrix M in (2) ...
have found use for quantum computing. A novel family of quantum algorithms has emerged to challenge the conventional wisdom on the limited applications of a quantum computer. In addition to providing exponential speedups over current classical techniques, these new algorithms also do so for a number...
We develop in this work fault-tolerant algorithms for error correction suitable forZ2or truncated U(1) lattice gauge theories in 1+1, and 2+1 spacetime dimensions with a cutoff of 1 on the links. These algorithms combine the physicality constraint provided by Gauss’ law with bit and phase...
ffsim is a software library for simulating fermionic quantum circuits that conserve particle number and the Z component of spin. This category includes many quantum circuits used for quantum chemistry simulations. By exploiting the symmetries and using specialized algorithms, ffsim can simulate these ci...
Besides the digital simulation algorithms mentioned above, analog protocols have also been designed recently for simulating and understanding electronic structures. In analog simulations, the primary focus is on mapping the terms of the Hamiltonian of the system of interest (in this case, the many-bod...
R. General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory. Preprint at https://arxiv.org/abs/2212.14030 (2022). Martinez, E. A. et al. Real-time dynamics of lattice gauge theories with a few-qubit quantum computer. Nature 534, 516–519...