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On Estimating Quantum Divergences with p-Power Means
Abstract
We study the problem of estimating the quantum divergence with p-power means, Φp(ρ | σ). This quantity was investigated by Lam and Le (\textit{Linear Algebra Appl.}\ 2021). For any constant p ∈ (0, 1), we present sample-efficient and query-efficient quantum algorithms for estimating Φp(ρ | σ) and further show that estimating Φp(ρ | σ) is BQP-complete in the low-rank case.
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BibTeX
@misc{bao2026estimating,
title = {{On Estimating Quantum Divergences with $p$-Power Means}},
author = {Jinge Bao and Minbo Gao and Qisheng Wang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01163},
eprint = {2611.01163},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01163},
}
RIS
TY - UNPB
TI - On Estimating Quantum Divergences with p-Power Means
AU - Jinge Bao
AU - Minbo Gao
AU - Qisheng Wang
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01163
UR - https://arxiv.org/abs/2611.01163
AB - We study the problem of estimating the quantum divergence with p-power means, Φ_p(ρ | σ). This quantity was investigated by Lam and Le (\textit{Linear Algebra Appl.}\ 2021). For any constant p ∈ (0, 1), we present sample-efficient and query-efficient quantum algorithms for estimating Φ_p(ρ | σ) and further show that estimating Φ_p(ρ | σ) is BQP-complete in the low-rank case.
ER -