Sumeet S, Hörmann M, Schmidt KP (2024)
Publication Type: Journal article
Publication year: 2024
Book Volume: 110
Article Number: 155128
Journal Issue: 15
DOI: 10.1103/PhysRevB.110.155128
We describe a hybrid quantum-classical approach to treat quantum many-body systems in the thermodynamic limit. This is done by combining numerical linked-cluster expansions (NLCE) with the variational quantum eigensolver (VQE). Here, the VQE algorithm is used as a cluster solver within the NLCE. We test our hybrid quantum-classical algorithm (NLCE+VQE) for the ferromagnetic transverse-field Ising model on the one-dimensional chain and the two-dimensional square lattice. The calculation of ground-state energies on each open cluster demands a modified Hamiltonian variational ansatz for the VQE. One major finding is convergence of NLCE+VQE to the conventional NLCE result in the thermodynamic limit when at least N/2 circuit repetitions (known as layers) are used in the VQE ansatz for each cluster with N sites. Our approach demonstrates the fruitful connection of techniques known from correlated quantum many-body systems with hybrid algorithms explored on existing quantum-computing devices.
APA:
Sumeet, S., Hörmann, M., & Schmidt, K.P. (2024). Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit. Physical Review B, 110(15). https://doi.org/10.1103/PhysRevB.110.155128
MLA:
Sumeet, Sumeet, Max Hörmann, and Kai Phillip Schmidt. "Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit." Physical Review B 110.15 (2024).
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