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Digitized counterdiabatic quantum optimization

Narendra N. Hegade1,*, Xi Chen2,†, and Enrique Solano1,3,4,‡

  • 1Department of Physics, International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist), Shanghai University, 200444 Shanghai, China
  • 2Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain and EHU Quantum Center, University of the Basque Country UPV/EHU, Barrio Sarriena, s/n, 48940 Leioa, Spain
  • 3IKERBASQUE, Basque Foundation for Science, Plaza Euskadi 5, 48009 Bilbao, Spain
  • 4Kipu Quantum, Kurwenalstrasse 1, 80804 Munich, Germany

  • *narendrahegade5@gmail.com
  • †chenxi1979cn@gmail.com
  • ‡enr.solano@gmail.com

Lyapunov controlled counterdiabatic quantum optimization

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Quantum Sci. Technol. 11 035028 (2026)

Quantum alternating operator ansatz with block-ring mixer and hot-start strategy for graph edit distance problem

Wenjie Liu, Jiajun Cheng, Yue Ma, Xinran Li, and Xi Li

Quantum Mach. Intell. 8 91 (2026)

Fighting Exponentially Small Gaps by Counterdiabatic Driving

András Grabarits, Federico Balducci, and Adolfo del Campo

PRX Quantum 7 010322 (2026)

Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra

Naruo Ohga and Takuya Hatomura

PRX Quantum 7 020347 (2026)

Hybrid real-imaginary time evolution for low-depth Hamiltonian simulation in quantum optimization

Fei Li and Xiao-Wei Li

Physica A: Statistical Mechanics and its Applications 693 131539 (2026)

Approaching the critical point through an exact ground-state evolution

Jun-Hao Lin, Ke-Xiong Yan, Jie Song, Ye-Hong Chen, and Yan Xia

Phys. Rev. Research 8 013275 (2026)

Quantum combinatorial reasoning for large language models

Carlos Flores-Garrigós, Gaurav Dev, Michael Falkenthal, Alejandro Gomez Cadavid, Anton Simen, Shubham Kumar, Enrique Solano, and Narendra N. Hegade

Phys. Rev. Research 8 033070 (2026)

Continuous-time quantum control across an exponentially small bottleneck in a frustrated Ising ring model

Vincenzo Roberto Arezzo, Kiran Thengil, and Giuseppe E. Santoro

Phys. Rev. A 114 042438 (2026)

Analog counterdiabatic quantum computing

Qi Zhang, Narendra N. Hegade, Alejandro Gomez Cadavid, Lucas Lassabliére, Shubham Kumar, Jan Trautmann, Sébastien Perseguers, Enrique Solano, Loïc Henriet, and Eric Michon

npj Unconv. Comput. 3 11 (2026)

Digitized counterdiabatic quantum critical dynamics

Anne-Maria Visuri, Alejandro Gomez Cadavid, Balaganchi A. Bhargava, Sebastián V. Romero, András Grabarits, Pranav Chandarana, Enrique Solano, Adolfo del Campo, and Narendra N. Hegade

npj Quantum Inf 12 47 (2026)

Counterdiabatic ADAPT-VQE for Molecular Simulation

Diego Tancara, Herbert Díaz-Moraga, and Dardo Goyeneche

J. Chem. Theory Comput. 22 6419 (2026)

Quantum circuit evolutionary framework applied to the set partitioning problem

Bruno O. Fernandez, Rodrigo Bloot, and Marcelo A. Moret

J Supercomput 82 411 (2026)

Energy-saving fast-forward scaling

Takuya Hatomura

SciPost Phys. Core 8 019 (2025)

Single-layer digitized-counterdiabatic quantum optimization for p-spin models

Huijie Guan, Fei Zhou, Francisco Albarrán-Arriagada, Xi Chen, Enrique Solano, Narendra N Hegade, and He-Liang Huang

Quantum Sci. Technol. 10 015006 (2025)

Digital-analog counterdiabatic quantum optimization with trapped ions

Shubham Kumar, Narendra N Hegade, Murilo Henrique de Oliveira, Enrique Solano, Alejandro Gomez Cadavid, and F Albarrán-Arriagada

Quantum Sci. Technol. 10 015023 (2025)

Experimental Factoring Integers Using Fixed-Point-QAOA with a Trapped-Ion Quantum Processor

Ilia V. Zalivako, Andrey Yu. Chernyavskiy, Anastasiia S. Nikolaeva, Alexander S. Borisenko, Nikita V. Semenin, Kristina P. Galstyan, Andrey E. Korolkov, Sergey V. Grebnev, Evgeniy O. Kiktenko, Ksenia Yu. Khabarova, Aleksey K. Fedorov, Ilya A. Semerikov, and Nikolay N. Kolachevsky

Quantum Information & Computation 25 369 (2025)

Quantum dynamics in Krylov space: Methods and applications

Pratik Nandy, Apollonas S. Matsoukas-Roubeas, Pablo Martínez-Azcona, Anatoly Dymarsky, and Adolfo del Campo

Physics Reports 1125-1128 1 (2025)

Bias-field digitized counterdiabatic quantum optimization

Alejandro Gomez Cadavid, Archismita Dalal, Anton Simen, Enrique Solano, and Narendra N. Hegade

Phys. Rev. Research 7 L022010 (2025)

Shortcuts to adiabaticity in open quantum critical systems

Shishira Mahunta and Victor Mukherjee

Phys. Rev. B 111 064301 (2025)

Benchmarking adiabatic transformation by alternating unitaries

Takuya Hatomura

Phys. Rev. A 111 022411 (2025)

Practicality of a quantum adiabatic algorithm for chemistry applications

Etienne Granet, Khaldoon Ghanem, and Henrik Dreyer

Phys. Rev. A 111 022428 (2025)

Variational quantum eigensolver approach to prime factorization on IBM's noisy intermediate scale quantum computer

Mona Sobhani, Yahui Chai, Tobias Hartung, and Karl Jansen

Phys. Rev. A 111 042413 (2025)

Quantum coherence and counterdiabatic quantum computing

Josue R Huerta-Ruiz, Maximiliano Araya-Gaete, Diego Tancara, Enrique Solano, Nancy Barraza, and Francisco Albarrán-Arriagada

New J. Phys. 27 084504 (2025)

A quantum constraint generation framework for binary linear programs

András Czégel and Boglárka G.-Tóth

EPJ Quantum Technol. 12 54 (2025)

Entropy, Fidelity, and Entanglement During Digitized Adiabatic Quantum Computing to Form a Greenberger–Horne–Zeilinger (GHZ) State

Nathan D. Jansen and Katharine L. C. Hunt

Entropy 27 891 (2025)

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