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Floquet-Liouville Theory for Strongly Driven Open Quantum Systemsquantum-computing

Floquet-Liouville Theory for Strongly Driven Open Quantum Systems

--> Quantum Physics arXiv:2608.14966 (quant-ph) [Submitted on 15 Aug 2026] Title:Floquet-Liouville Theory for Strongly Driven Open Quantum Systems Authors:Kamran Akbari, Stephen Hughes View a PDF of the paper titled Floquet-Liouville Theory for Strongly Driven Open Quantum Systems, by Kamran Akbari and Stephen Hughes View PDF HTML (experimental) Abstract:Periodically driven quantum systems are commonly modeled using master equations constructed in the eigenbasis of an undriven Hamiltonian, implicitly assuming that environmental dissipation couples to static energy transitions even under strong time-periodic driving. The validity of this approximation beyond weak or near-resonant driving remains poorly understood. To address the need for a more self-consistent quantum theory approach, we formulate a nonsecular Floquet--Markov generalized master equation (F-GME) in the quasienergy basis, treating interaction-induced (internal) and drive-induced (external) nonperturbative dressing on an equal footing. We subsequently investigate dissipation in two minimal driven open quantum systems---a harmonically driven two-level system and a harmonically driven coupled-two-level-system---each weakly coupled to a Markovian bath. Comparing the F-GME to a time-independent dressed-basis master equation, we show that even for a flat-bath spectral density and weak dissipation, the two approaches can yield qualitatively different steady-state populations and emission spectra. We resolve dissipation into drive-assisted sideband processes decaying via Floquet extended-space quasienergy channels, and show these channels can hybridize through nonsecular couplings into collective Floquet--Liouville modes governing observable spectral resonances. This analysis demonstrates that time-independent dissipative descriptions can incorrectly weight multiphoton Floquet transitions by collapsing quasienergy-resolved decay pathways into static energy gaps. The F-GME framework provides a systematic diagno

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Qudit-ADAPT-VQE: an adaptive variational algorithm with counterdiabatic-inspired improvements for quditsquantum-computing

Qudit-ADAPT-VQE: an adaptive variational algorithm with counterdiabatic-inspired improvements for qudits

--> Quantum Physics arXiv:2608.14981 (quant-ph) [Submitted on 15 Aug 2026] Title:Qudit-ADAPT-VQE: an adaptive variational algorithm with counterdiabatic-inspired improvements for qudits Authors:Joaquín Molina, Herbert Díaz-Moraga, Dardo Goyeneche, Diego Tancara View a PDF of the paper titled Qudit-ADAPT-VQE: an adaptive variational algorithm with counterdiabatic-inspired improvements for qudits, by Joaqu\'in Molina and 2 other authors View PDF HTML (experimental) Abstract:Variational quantum algorithms based on qudits have attracted significant attention in recent years. However, as in their qubit-based counterparts, challenges such as barren plateaus and the design of efficient ansatz remain major obstacles. In this work, we propose to address these issues through a qudit implementation of the ADAPT-VQE algorithm, which constructs the ansatz iteratively. Specifically, we introduce an operator pool inspired by adiabatic evolution enhanced with counterdiabatic driving for ansatz construction and employ it to solve Max 3-Cut. We show that the warm-start strategy inherent to ADAPT-VQE, together with an ansatz construction based on counterdiabatic operators, achieves higher accuracy and lower native gates implementation than approaches on fixed ansatz. Furthermore, we show that, in qudit-based quantum computing, ADAPT-VQE with a counterdiabatic operator pool can navigate rough optimization landscapes with local traps through the burrowing mechanism, suggesting robustness against barren plateau effects and providing a scalable framework for variational quantum algorithms with qudits. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.14981 [quant-ph]   (or arXiv:2608.14981v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2608.14981 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Diego Tancara [view email] [v1] Sat, 15 Aug 2026 02:19:32 UTC (3,065 KB) Full-text links: Access Paper:

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