PreprintarXiv licencearXiv
Isometry Groups of Right Invariant Metrics in Geometric Quantum Complexity
Abstract
In this paper, we give a complete description for the full isometry groups of a class of right invariant Riemannian metrics on the special unitary group SU(2N). These metrics have been used by physicists to study Nielsen's geometric approach for complexities in quantum computations.
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BibTeX
@misc{liu2026isometry,
title = {{Isometry Groups of Right Invariant Metrics in Geometric Quantum Complexity}},
author = {Xiaobo Liu and Lei Zheng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20987},
eprint = {2609.20987},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20987},
}
RIS
TY - UNPB
TI - Isometry Groups of Right Invariant Metrics in Geometric Quantum Complexity
AU - Xiaobo Liu
AU - Lei Zheng
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20987
UR - https://arxiv.org/abs/2609.20987
AB - In this paper, we give a complete description for the full isometry groups of a class of right invariant Riemannian metrics on the special unitary group SU(2^N). These metrics have been used by physicists to study Nielsen's geometric approach for complexities in quantum computations.
ER -