تقرير
Qubitization strategies for bosonic field theories
| العنوان: | Qubitization strategies for bosonic field theories |
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| المؤلفون: | Alexandru, Andrei, Bedaque, Paulo F., Carosso, Andrea, Cervia, Michael J., Sheng, Andy |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Theory, Nuclear Theory, Quantum Physics |
| الوصف: | Quantum simulations of bosonic field theories require a truncation in field space to map the theory onto finite quantum registers. Ideally, the truncated theory preserves the symmetries of the original model and has a critical point in the same universality class. In this paper, we explore two different truncations that preserve the symmetries of the 1+1-dimensional $O(3)$ non-linear $\sigma$-model - one that truncates the Hilbert space for the unit sphere by setting an angular momentum cutoff and a fuzzy sphere truncation inspired by non-commutative geometry. We compare the spectrum of the truncated theories in a finite box with the full theory. We use open boundary conditions, a novel method that improves on the correlation lengths accessible in our calculations. We provide evidence that the angular-momentum truncation fails to reproduce the $\sigma$-model and that the anti-ferromagnetic fuzzy model agrees with the full theory. Comment: 10 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.107.034503 |
| URL الوصول: | http://arxiv.org/abs/2209.00098 |
| رقم الأكسشن: | edsarx.2209.00098 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.107.034503 |
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