Dominant Eigenstate Isolation through Symmetry-Orbit Decoupling
Abstract
We address the problem of extracting a target eigenstate from an approximate pure state. Our approach, symmetry-orbit decoupling, exploits symmetries that preserve the target state while acting differently on the residual. Averaging over the resulting orbit suppresses the target--residual coherence without reducing the target population, thereby exposing a spectral structure that is hidden in the original pure state. When the target is sufficiently separated from the residual modes, it becomes the principal mode of the orbit-averaged state and can be identified through the orbit Gram matrix. Numerical VQE simulations performed with QuESTlink for six- and eight-qubit Heisenberg and Fermi--Hubbard chains show substantial improvements in ground-state energy estimation. The remaining accuracy is limited by residual components that are indistinguishable from the target under the chosen symmetry.
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BibTeX
@misc{he2026dominant,
title = {{Dominant Eigenstate Isolation through Symmetry-Orbit Decoupling}},
author = {Canyu He and Chunhua Zeng and Ruyu Yang and Yongdan Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.21962},
eprint = {2606.21962},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.21962},
}
RIS
TY - UNPB
TI - Dominant Eigenstate Isolation through Symmetry-Orbit Decoupling
AU - Canyu He
AU - Chunhua Zeng
AU - Ruyu Yang
AU - Yongdan Yang
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2606.21962
UR - https://arxiv.org/abs/2606.21962
AB - We address the problem of extracting a target eigenstate from an approximate pure state. Our approach, symmetry-orbit decoupling, exploits symmetries that preserve the target state while acting differently on the residual. Averaging over the resulting orbit suppresses the target--residual coherence without reducing the target population, thereby exposing a spectral structure that is hidden in the original pure state. When the target is sufficiently separated from the residual modes, it becomes the principal mode of the orbit-averaged state and can be identified through the orbit Gram matrix. Numerical VQE simulations performed with QuESTlink for six- and eight-qubit Heisenberg and Fermi--Hubbard chains show substantial improvements in ground-state energy estimation. The remaining accuracy is limited by residual components that are indistinguishable from the target under the chosen symmetry.
ER -