Lindblad Multiproduct Formulas
Abstract
We introduce Lindblad Multiproduct Formulas: a quantum error mitigation technique that uses two-dimensional tensor networks contracted with loop-corrected belief propagation. The quantities required to implement the error mitigation scheme that are evaluated with tensor networks can be less computationally expensive to calculate than the expectation values themselves, thus allowing for the possibility of applying our method to certain systems for which tensor network methods may struggle to calculate the observable quantities of interest. The workflow incorporates Clifford rescaling techniques and outputs an estimated error bar. We apply our method to a model of two-dimensional discrete time crystals studied previously and implement it on $65$ qubits arranged in a 3 × 3 heavy-hexagonal topology on the quantum computer ibm_basquecountry. We show that a GPU implementation of the classical part of our workflow achieves a speedup of up to 5.6×.
Related
- From the universal Lindblad equation to Boltzmann equations: in-QGP quarkonium dynamics
- Theory of steady states for Lindblad equations beyond time-independence: Classification, uniqueness and symmetry
- General Lindblad equation for quarkonium evolution in a quark-gluon plasma
- Resolved-sideband micromotion sensing in trapped 171Yb+ ions using Lindblad/Rate equation
- Lindblad equation for the quantum Rabi model in the deep strong coupling regime
BibTeX
@misc{robertson2026lindblad,
title = {{Lindblad Multiproduct Formulas}},
author = {Niall F. Robertson and Andrea D'Urbano and Anton Dekusar and Max Rossmannek and Eric D. Switzer and James R. Garrison and Nicolas Lorente and Igor Pasichnyk and Paolo D'Alberto and Muhammad Osama and Zachary Streeter and Yasuko Eckert and Constantinos Evangelinos and Sergiy Zhuk},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05024},
eprint = {2609.05024},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05024},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lindblad Multiproduct Formulas
AU - Niall F. Robertson
AU - Andrea D'Urbano
AU - Anton Dekusar
AU - Max Rossmannek
AU - Eric D. Switzer
AU - James R. Garrison
AU - Nicolas Lorente
AU - Igor Pasichnyk
AU - Paolo D'Alberto
AU - Muhammad Osama
AU - Zachary Streeter
AU - Yasuko Eckert
AU - Constantinos Evangelinos
AU - Sergiy Zhuk
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.05024
UR - https://arxiv.org/abs/2609.05024
AB - We introduce Lindblad Multiproduct Formulas: a quantum error mitigation technique that uses two-dimensional tensor networks contracted with loop-corrected belief propagation. The quantities required to implement the error mitigation scheme that are evaluated with tensor networks can be less computationally expensive to calculate than the expectation values themselves, thus allowing for the possibility of applying our method to certain systems for which tensor network methods may struggle to calculate the observable quantities of interest. The workflow incorporates Clifford rescaling techniques and outputs an estimated error bar. We apply our method to a model of two-dimensional discrete time crystals studied previously and implement it on $65$ qubits arranged in a 3 × 3 heavy-hexagonal topology on the quantum computer ibm_basquecountry. We show that a GPU implementation of the classical part of our workflow achieves a speedup of up to 5.6×.
ER -