改进的量子模拟哈密顿量
Improved Hamiltonians for Quantum Simulations
摘要：
在可预见的未来，格点规范理论的量子模拟将受到有限资源的阻碍。在经典模拟中改进的晶格作用的历史成功强烈地表明，具有改进的离散化误差的哈密顿算子将减少量子资源，即在具有$d$空间维度的晶格的量子模拟中需要更少的$\gtrsim 2^d$量子比特。在这项工作中，我们考虑$\mathcal{O}(a^2)$ -改进的纯规范理论的哈密顿量和设计相应的量子线路，其实时演化的原始门。$\mathbb{Z}_2$规范理论的一个明确的演示，包括使用ibm_perth设备的探索性测试。
英文摘要：
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 $\gtrsim 2^d$ fewer qubits in quantum simulations for lattices with $d$ spatial dimensions. In this work, we consider $\mathcal{O}(a^2)$-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 $\mathbb{Z}_2$ gauge theory is presented including exploratory tests using the ibm_perth device.
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