Renormalization group ideas and effective operators are introduced to efficiently prepare ground states of massive lattice field theories on digital quantum devices. This is accomplished with a systematic approximation through localized unitaries that removes an exponentially costly barrier in the spatial volume of the quantum simulation. With these methods, classically computed ground states in a spatial volume $L$, containing a few Compton wavelengths, can be used to determine operators for preparing the ground state toward the thermodynamic limit with a precision improving as $e^{-mL}$ on beyond-classical quantum registers. Due to the exponential spatial decay of correlations in massive theories and the double exponential suppression of digitization artifacts in the number of qubits representing the scalar field, the derived fixed-point quantum circuits are expected to be relevant for simulations of quantum field theories throughout the evolution from small-scale near-term quantum devices to large-scale fault-tolerant quantum computers.

中文翻译：

---

用于量子场论的定点量子电路

引入了重归一化的组构想和有效的算符，以有效地准备数字量子设备上大量晶格场论的基态。这是通过局部unit的系统近似来完成的，该近似消除了量子模拟空间体积中成倍增加成本的障碍。使用这些方法，可以经典计算空间体积中的基态$\mathrm{大号}$包含几个康普顿波长的光子，可以用来确定算子，以使基态朝热力学极限方向准备，其精度随着 ${Ë}^{-米\mathrm{大号}}$超越经典的量子寄存器。由于大量理论中相关性的指数空间衰减和代表标量场的量子位数量中数字化伪像的双重指数抑制，因此推导的定点量子电路有望与整个演化过程中的量子场理论模拟相关从小型近期量子设备到大型容错量子计算机。