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FRI: Friday Contributed Sessions
FRI 1: Quantum Information: Concepts and Methods II
FRI 1.4: Vortrag
Freitag, 12. September 2025, 11:30–11:45, ZHG001
Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis — •Eric Brunner1, Luuk Coopmans1, Gabriel Matos1,2, Matthias Rosenkranz1, Frederic Sauvage1, and Yuta Kikuchi3,4 — 1Quantinuum, London SW1P 1BX, United Kingdom — 2Quantinuum, Oxford OX1 2NA, United Kingdom — 3Quantinuum K.K., Tokyo, Japan — 4iTHEMS, RIKEN, Wako, Saitama 351-0198, Japan
Building upon recent progress in Lindblad engineering for quantum Gibbs state preparation algorithms, we propose a simplified protocol that is shown to be efficient under the eigenstate thermalization hypothesis (ETH). The ETH reduces circuit overheads of the Lindblad simulation algorithm and ensures a fast convergence toward the target Gibbs state. Moreover, we show that the realized Lindblad dynamics exhibits an inherent resilience against stochastic noise, opening up the path to a first demonstration on quantum computers. We complement our claims with numerical studies of the algorithm's convergence in various regimes of the mixed-field Ising model. In line with our predictions, we observe a mixing time scaling polynomially with system size when the ETH is satisfied. In addition, we assess the impact of algorithmic and hardware-induced errors on the algorithm's performance by carrying out quantum circuit simulations of our Lindblad simulation protocol with a local depolarizing noise model. This work bridges the gap between recent theoretical advances in dissipative Gibbs state preparation algorithms and their eventual quantum hardware implementation.
Keywords: Quantum Gibbs states; Lindblad Equation; Eigenstate Thermalization Hypothesis; Quantum Algorithms