تقرير
Gibbs state sampling via cluster expansions
| العنوان: | Gibbs state sampling via cluster expansions |
|---|---|
| المؤلفون: | Eassa, Norhan M., Moustafa, Mahmoud M., Banerjee, Arnab, Cohn, Jeffrey |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Other Condensed Matter |
| الوصف: | Gibbs states (i.e., thermal states) can be used for several applications such as quantum simulation, quantum machine learning, quantum optimization, and the study of open quantum systems. Moreover, semi-definite programming, combinatorial optimization problems, and training quantum Boltzmann machines can all be addressed by sampling from well-prepared Gibbs states. With that, however, comes the fact that preparing and sampling from Gibbs states on a quantum computer are notoriously difficult tasks. Such tasks can require large overhead in resources and/or calibration even in the simplest of cases, as well as the fact that the implementation might be limited to only a specific set of systems. We propose a method based on sampling from a quasi-distribution consisting of tensor products of mixed states on local clusters, i.e., expanding the full Gibbs state into a sum of products of local "Gibbs-cumulant" type states easier to implement and sample from on quantum hardware. We begin with presenting results for 4-spin linear chains with XY spin interactions, for which we obtain the $ZZ$ dynamical spin-spin correlation functions. We also present the results of measuring the specific heat of the 8-spin chain Gibbs state $\rho_8$. Comment: 8 pages, 8 figures, and supplementary material |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.20129 |
| رقم الأكسشن: | edsarx.2310.20129 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |