Electronic Structure Calculatins and the Ising Machine

Abstract

The exact solution of Schrodinger equation for atoms, molecules and extended systems continues to be a "Holy Grail" problem that the entire field has been striving to solve since its inception. Recently, breakthroughs have been made in the development of quantum annealing and coherent Ising machines capable of simulating hundreds of connected spins interacting with an Ising type Hamiltonian. One of the most vital questions pertaining to these new devices is: 'can these machine be used to perform electronic structure calculations?' Here we discuss the general procedure used by these devices and show that there is an exact mapping between the electronic structure Hamiltonian of the Hydrogen molecule and the Ising Hamiltonian

References in corpus (6)

• Fermionic quantum computation
• Quantum annealing with more than one hundred qubits
• Computational Complexity of interacting electrons and fundamental limitations of Density Functional Theory
• Large-scale Ising spin network based on degenerate optical parametric oscillators
• Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
• Hamiltonian gadgets with reduced resource requirements