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Algorithmic Cluster Expansions for Quantum Problems

Ryan L. Mann1,2,* and Romy M. Minko2

  • 1Centre for Quantum Computation and Communication Technology, Centre for Quantum Software and Information, School of Computer Science, Faculty of Engineering & Information Technology, University of Technology Sydney, NSW 2007, Australia
  • 2School of Mathematics, University of Bristol, Bristol BS8 1UG, United Kingdom

Grand Challenge of Quantum Applications

Ryan Babbush, Robbie King, Sergio Boixo, William Huggins, Tanuj Khattar, Guang Hao Low, Jarrod R. McClean, Thomas O’Brien, and Nicholas C. Rubin

PRX Quantum 7 020101 (2026)

High-Temperature Fermionic Gibbs States Are Mixtures of Gaussian States

Akshar Ramkumar, Yiyi Cai, Yu Tong, and Jiaqing Jiang

Phys. Rev. Lett. 137 020601 (2026)

Efficient algorithms for weakly interacting quantum spin systems

Ryan L. Mann and Gabriel Waite

Phys. Rev. A 114 012432 (2026)

Quantum Algorithms for Quantum Molecular Systems: A Survey

Yukun Zhang, Xiaoming Zhang, Jinzhao Sun, Heng Lin, Yifei Huang, Dingshun Lv, and Xiao Yuan

WIREs Comput Mol Sci 15 e70020 (2025)

High-Temperature Partition Functions and Classical Simulatability of Long-Range Quantum Systems

Jorge Sánchez-Segovia, Jan T. Schneider, and Álvaro M. Alhambra

PRX Quantum 6 040366 (2025)

Provably Efficient Simulation of 1D Long-Range Interacting Systems at Any Temperature

Rakesh Achutha, Donghoon Kim, Yusuke Kimura, and Tomotaka Kuwahara

Phys. Rev. Lett. 134 190404 (2025)

A complexity transition in displaced Gaussian Boson sampling

Zhenghao Li, Naomi R. Solomons, Jacob F. F. Bulmer, Raj B. Patel, and Ian A. Walmsley

npj Quantum Inf 11 119 (2025)

Clustering Theorem in 1D Long-Range Interacting Systems at Arbitrary Temperatures

Yusuke Kimura and Tomotaka Kuwahara

Commun. Math. Phys. 406 65 (2025)

Gibbs state sampling via cluster expansions

Norhan M. Eassa, Mahmoud M. Moustafa, Arnab Banerjee, and Jeffrey Cohn

npj Quantum Inf 10 97 (2024)

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