Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis

• URL: http://arxiv.org/abs/2412.17706v2
• Date: Fri, 28 Mar 2025 13:57:30 GMT
• Title: Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis
• Authors: Eric Brunner, Luuk Coopmans, Gabriel Matos, Matthias Rosenkranz, Frederic Sauvage, Yuta Kikuchi,
• Abstract summary: We show that a simplified protocol for quantum Gibbs state preparation algorithms is efficient under the eigenstate thermalization hypothesis (ETH)<n>We show that the realized Lindblad algorithm exhibits an inherent resilience against noise, opening up the path to a first demonstration on quantum computers.<n>This work bridges the gap between recent theoretical advances in dissipative Gibbs state preparation algorithms and their eventual quantum hardware implementation.
• Score: 0.4040782475977877
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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