学術雑誌論文

学術雑誌論文

Physical Review Research. 2024, 6(3), p. 033259

Automatic structural search of tensor network states including entanglement renormalization

American Physical Society

英語

2024-09-06

https://doi.org/10.1103/PhysRevResearch.6.033259

Watanabe R., Ueda H.. Automatic structural search of tensor network states including entanglement renormalization. Physical Review Research 6, 033259 (2024); https://doi.org/10.1103/PhysRevResearch.6.033259.

Tensor network (TN) states, including entanglement renormalization (ER), can encompass a wider variety of entangled states. When the entanglement structure of the quantum state of interest is nonuniform in real space, accurately representing the state with a limited number of degrees of freedom hinges on appropriately configuring the TN to align with the entanglement pattern. However, a proposal has yet to show a structural search of ER due to its high computational cost and the lack of flexibility in its algorithm. In this study, we conducted an optimal structural search of TN, including ER, based on the reconstruction of their local structures with respect to variational energy. First, we demonstrated that our algorithm for the spin-1/2 tetramer singlets model could calculate exact ground energy using the multiscale entanglement renormalization ansatz (MERA) structure as an initial TN structure. Subsequently, we applied our algorithm to the random XY models with the two initial structures: MERA and the suitable structure underlying the strong disordered renormalization group. We found that, in both cases, our algorithm achieves improvements in variational energy, fidelity, and entanglement entropy. The degree of improvement in these quantities is superior in the latter case compared to the former, suggesting that utilizing an existing TN design method as a preprocessing step is important for maximizing our algorithm's performance.

This article is licensed under a Creative Commons Attribution 4.0 International License.

98255

Automatic structural search of tensor network states including entanglement renormalization

American Physical Society

英語

2024-09-06

Physical Review Research

6

3

033259

https://doi.org/10.1103/PhysRevResearch.6.033259

https://hdl.handle.net/11094/98255