Clifford Accelerated Adaptive QAOA

Fuente: arXiv
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Main Authors: Lisart-Liebermann, Théo, Medina, Arcesio Castañeda
Format: Preprint
Published: 2025
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author Lisart-Liebermann, Théo
Medina, Arcesio Castañeda
author_facet Lisart-Liebermann, Théo
Medina, Arcesio Castañeda
contents Clifford Circuit Initializaton improves on initial guess of parameters on Parametric Quantum Circuits (PQCs) by leveraging efficient simulation of circuits made out of gates from the Clifford Group. The parameter space is pre-optimized by exploring the Hilbert space in a reduced ensemble of Clifford-expressible points (Clifford Points), providing better initialization. Simultaneously, dynamical circuit reconfiguration algorithms, such as ADAPT-QAOA, improve on QAOA performances by providing a gate re-configuration routine while the optimization is being executed. In this article, we show that Clifford Point approximations at multiple levels of ADAPT allow for multiple improvements while increasing quantum-classical integration opportunities. First we show numerically that Clifford Point preoptimization offers non-trivial gate-selection behavior in ADAPT with some possible convergence improvement. Second, that Clifford Point approximations allows for more suited, fully parallel and fully classical ADAPT operator selection for MaxCut and the TFIM problem. Finally, we show that applying 10 to 30\% error approximation on T-gates using low-rank stabilizer decomposition can provide significative improvements in convergence quality for the MaxCut and TFIM problem. The latter hints at significant T-gate over-representation in antsatz design, opening opportunities for aggressive compilation optimizations.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16443
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Clifford Accelerated Adaptive QAOA
Lisart-Liebermann, Théo
Medina, Arcesio Castañeda
Quantum Physics
Optimization and Control
Clifford Circuit Initializaton improves on initial guess of parameters on Parametric Quantum Circuits (PQCs) by leveraging efficient simulation of circuits made out of gates from the Clifford Group. The parameter space is pre-optimized by exploring the Hilbert space in a reduced ensemble of Clifford-expressible points (Clifford Points), providing better initialization. Simultaneously, dynamical circuit reconfiguration algorithms, such as ADAPT-QAOA, improve on QAOA performances by providing a gate re-configuration routine while the optimization is being executed. In this article, we show that Clifford Point approximations at multiple levels of ADAPT allow for multiple improvements while increasing quantum-classical integration opportunities. First we show numerically that Clifford Point preoptimization offers non-trivial gate-selection behavior in ADAPT with some possible convergence improvement. Second, that Clifford Point approximations allows for more suited, fully parallel and fully classical ADAPT operator selection for MaxCut and the TFIM problem. Finally, we show that applying 10 to 30\% error approximation on T-gates using low-rank stabilizer decomposition can provide significative improvements in convergence quality for the MaxCut and TFIM problem. The latter hints at significant T-gate over-representation in antsatz design, opening opportunities for aggressive compilation optimizations.
title Clifford Accelerated Adaptive QAOA
topic Quantum Physics
Optimization and Control
url https://arxiv.org/abs/2508.16443