Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms

التفاصيل البيبلوغرافية
العنوان: Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
المؤلفون: González-Cuadra, Daniel, Zache, Torsten V., Carrasco, Jose, Kraus, Barbara, Zoller, Peter
المصدر: Phys. Rev. Lett. 129, 160501 (2022)
سنة النشر: 2022
المجموعة: Condensed Matter
High Energy Physics - Lattice
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Quantum Gases, High Energy Physics - Lattice
الوصف: Non-abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the rapidly evolving field of quantum simulation. Here we take an approach where gauge fields, discretized in spacetime, are represented by qudits and are time-evolved in Trotter steps with multiqudit quantum gates. This maps naturally and hardware-efficiently to an architecture based on Rydberg tweezer arrays, where long-lived internal atomic states represent qudits, and the required quantum gates are performed as holonomic operations supported by a Rydberg blockade mechanism. We illustrate our proposal for a minimal digitization of SU(2) gauge fields, demonstrating a significant reduction in circuit depth and gate errors in comparison to a traditional qubit-based approach, which puts simulations of non-abelian gauge theories within reach of NISQ devices.
Comment: 5+6 pages, 3+5 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.129.160501
الوصول الحر: http://arxiv.org/abs/2203.15541Test
رقم الانضمام: edsarx.2203.15541
قاعدة البيانات: arXiv