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Author (up) Gomez-Lurbe, R.; Perez, A. url  doi
openurl 
  Title Pauli propagation for imaginary-time evolution Type Journal Article
  Year 2026 Publication New Journal of Physics Abbreviated Journal New J. Phys.  
  Volume 28 Issue 8 Pages 084517 - 26pp  
  Keywords imaginary-time evolution; quantum many-body systems; computational methods; Pauli propagation; classical simulation of quantum systems  
  Abstract We extend the Pauli propagation framework to imaginary-time evolution and introduce imaginary-time Pauli propagation (ITPP), an operator-based algorithm for approximating thermal and ground-state properties directly in the Pauli basis. We derive explicit imaginary-time propagation rules for Pauli strings and analyze the main approximation errors arising from Trotterization and Pauli-space truncation, including bounds that account for the non-unitary nature of the evolution. Benchmarking ITPP on the one-dimensional transverse field Ising model, we find that the method performs best in the high-temperature regime, where thermal states admit a compressed Pauli-basis approximation, while the required number of Pauli terms grows rapidly as the system approaches the ground-state limit. We further compare with tensor network simulations and study finite-temperature scalability through the number of retained Pauli terms required to reach a fixed target accuracy. These results establish ITPP as a complementary framework for imaginary-time simulation and suggest that combining imaginary-time and real-time Pauli propagation could provide a pathway toward simulating more general non-unitary and open quantum system dynamics within a unified Pauli-based framework.  
  Address [Gomez-Lurbe, Rafael; Perez, Armando] Univ Valencia, Dept Fis Teor IFIC, CSIC, E-46100 Valencia, Spain, Email: rafael.gomez-lurbe@uv.es  
  Corporate Author Thesis  
  Publisher IOP Publishing Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1367-2630 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:001861091700001 Approved no  
  Is ISI yes International Collaboration no  
  Call Number IFIC @ pastor @ Serial 7412  
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