تقرير
Fixed Depth Hamiltonian Simulation via Cartan Decomposition
| العنوان: | Fixed Depth Hamiltonian Simulation via Cartan Decomposition |
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| المؤلفون: | Kökcü, Efekan, Steckmann, Thomas, Wang, Yan, Freericks, J. K., Dumitrescu, Eugene F., Kemper, Alexander F. |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | Simulating quantum dynamics on classical computers is challenging for large systems due to the significant memory requirements. Simulation on quantum computers is a promising alternative, but fully optimizing quantum circuits to minimize limited quantum resources remains an open problem. We tackle this problem presenting a constructive algorithm, based on Cartan decomposition of the Lie algebra generated by the Hamiltonian, that generates quantum circuits with time-independent depth. We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model, where a O(n^2)-gate circuits naturally emerge. Compared to product formulas with significantly larger gate counts, our algorithm drastically improves simulation precision. In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevLett.129.070501 |
| URL الوصول: | http://arxiv.org/abs/2104.00728 |
| رقم الأكسشن: | edsarx.2104.00728 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevLett.129.070501 |
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