论文标题
改进的量子模拟的汉密尔顿人
Improved Hamiltonians for Quantum Simulations
论文作者
论文摘要
有限的资源将阻碍可预见的未来的晶格计算理论的量子模拟。改进的经典模拟晶格动作的历史成功强烈表明，具有改善离散错误的汉密尔顿人将减少量子资源，即需要$ \ gtrsim 2^d $ \ gtrsim 2^d $少量的量子模拟量子的量子模拟，用于$ d $ d $空间维度。在这项工作中，我们考虑$ \ Mathcal {O}（A^2）$ - 改进了纯仪表理论的Hamiltonians，并设计了相应的量子电路，以实时进化，以原始门来实时演变。提出了$ \ mathbb {z} _2 $量规理论的明确演示，包括使用IBM_PERTH设备进行探索性测试。
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.
