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Improved Hamiltonians for Quantum Simulations of Gauge Theories
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-07-29 , DOI: 10.1103/physrevlett.129.051601
Marcela Carena 1, 2, 3, 4 , Henry Lamm 1 , Ying-Ying Li 1 , Wanqiang Liu 4
Affiliation  

Quantum simulations of lattice gauge theories for the foreseeable future will be hampered by limited resources. The historical success of improved lattice actions in classical simulations strongly suggests that Hamiltonians with improved discretization errors will reduce quantum resources, i.e., require 2d fewer qubits in quantum simulations for lattices with d-spatial dimensions. In this work, we consider O(a2)-improved Hamiltonians for pure gauge theories and design the corresponding quantum circuits for its real-time evolution in terms of primitive gates. An explicit demonstration for Z2 gauge theory is presented including exploratory tests using the ibm_perth device.

中文翻译:

规范理论量子模拟的改进哈密顿量

在可预见的未来,晶格规范理论的量子模拟将受到有限资源的阻碍。经典模拟中改进晶格作用的历史成功强烈表明,具有改进离散化误差的哈密顿量将减少量子资源,即需要2d格子的量子模拟中的量子比特更少d-空间维度。在这项工作中,我们考虑(一个2)-改进了纯规范理论的哈密顿量,并根据原始门设计了相应的量子电路以实现其实时演化。一个明确的演示Z2介绍了规范理论,包括使用 ibm_perth 设备进行的探索性测试。
更新日期:2022-07-29
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