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DOE OSTI · 3399529

Lyapunov controlled counterdiabatic quantum optimization

Chandarana, Pranav [University of the Basque Country (UPV/EHU), Bilbao (Spain); University of the Basque Country (UPV/EHU), Leioa (Spain); Kipu Quantum, Berlin (Germany)] (ORCID:0000000238901862)·Paul, Koushik [University of the Basque Country (UPV/EHU), Bilbao (Spain); University of the Basque Country (UPV/EHU), Leioa (Spain)] (ORCID:0000000227329629)·Ranjan Swain, Kasturi [University of Luxembourg (Luxembourg)] (ORCID:0009000872273856)·Chen, Xi [Consejo Superior de Investigaciones Cientificas (CSIC), Madrid (Spain). Instituto de Ciencia de Materiales de Madrid (ICMM)] (ORCID:0000000342214288)·del Campo, Adolfo [University of Luxembourg (Luxembourg); Donostia International Physics Center (DIPC), San Sebastian (Spain); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000322192851)
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Abstract

We introduce a quantum algorithm that integrates counterdiabatic (CD) protocols with quantum Lyapunov control (QLC) to address combinatorial optimization problems. This approach offers versatility, allowing implementation as either a digital-analog or purely digital algorithm based on selected control strategies. By examining spin-glass Hamiltonians, we illustrate how the algorithm can explore alternative paths to enhance solution outcomes compared to conventional CD techniques. This method reduces dependence on extensive higher-order CD terms and on classical optimization techniques, making it more suitable for existing quantum computing platforms. The combination of digital compression via CD protocols and the adaptable nature of QLC methods positions this approach as a promising candidate for near-term quantum devices.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICScounterdiabatic drivingdigital analog quantum computingdigital counterdiabatic quantum computingfeedback based quantum algorithmquantum lyapunov controlquantum optimization

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Chandarana, Pranav [University of the Basque Country (UPV/EHU), Bilbao (Spain); University of the Basque Country (UPV/EHU), Leioa (Spain); Kipu Quantum, Berlin (Germany)] (ORCID:0000000238901862), Paul, Koushik [University of the Basque Country (UPV/EHU), Bilbao (Spain); University of the Basque Country (UPV/EHU), Leioa (Spain)] (ORCID:0000000227329629), Ranjan Swain, Kasturi [University of Luxembourg (Luxembourg)] (ORCID:0009000872273856), Chen, Xi [Consejo Superior de Investigaciones Cientificas (CSIC), Madrid (Spain). Instituto de Ciencia de Materiales de Madrid (ICMM)] (ORCID:0000000342214288), del Campo, Adolfo [University of Luxembourg (Luxembourg); Donostia International Physics Center (DIPC), San Sebastian (Spain); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000322192851). 2026-06-25. Lyapunov controlled counterdiabatic quantum optimization. https://doi.org/10.1088/2058-9565%2Fae7d4e

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