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Determining ground state energies of quantum systems by hybridclassical/quantum methods has emerged as a promising candidate application fornear-term quantum computational resources. Short of large-scale fault-tolerantquantum computers, small-scale devices can be leveraged with currentcomputational techniques to identify important subspaces of relatively largeHamiltonians. Inspired by the work that described the merging of dynamicalmean-field theory (DMFT) with a small-scale quantum computational resource asan impurity solver [Bauer et al., arXiv:1510.03859v2], we describe analternative embedding scheme, density matrix embedding theory (DMET), thatnaturally fits with the output from the variational quantum eigensolver andother hybrid approaches. This approach is validated using a quantum abstractmachine simulator [Smith et al., arXiv:1608.03355] that reproduces the groundstate energy of the Hubbard model converged to the infinite limit.

A Hybrid Classical/Quantum Approach for Large-Scale Studies of Quantum Systems with Density Matrix Embedding Theory