论文标题
用最少资源的Z2晶格量规理论的量子模拟
Quantum Simulation of Z2 Lattice Gauge theory with minimal resources
论文作者
论文摘要
费米子量规理论的量子模拟是NISQ时代量子计算机的预期用途之一。最近已经完成了（1+1）d中的费米子Z2量规场理论的特性和（2+1）D中的纯表理论。在这项工作中，我们调查了（2+1）D。模拟费米子Z2 Z2 Z2 Z2 Z2 Z2量规理论的各种选择。在NISQ设备上模拟该理论是最小化Qubits和Citiver Dect of Citiver Deplath and Citiver Flice dep and Citiver Thals的重要选择。在这项工作中，我们提出了优化两个标准以模拟时间动态的方法。特别是，我们开发了一种新的方式来模拟该理论在量子计算机上，并具有最小的量子要求。我们提供了一个量子电路，模拟了一个一阶trotter步骤，从而最大程度地减少了所需的2克门的数量，并与需要更多Qubit的方法给出了可比的结果。此外，还研究了各种方法，以进一步降低电路深度。
The quantum simulation of fermionic gauge field theories is one of the anticipated uses of quantum computers in the NISQ era. Recently work has been done to simulate properties of the fermionic Z2 gauge field theory in (1+1) D and the pure gauge theory in (2+1) D. In this work, we investigate various options for simulating the fermionic Z2 gauge field theory in (2+1) D. To simulate the theory on a NISQ device it is vital to minimize both the number of qubits used and the circuit depth. In this work we propose ways to optimize both criteria for simulating time dynamics. In particular, we develop a new way to simulate this theory on a quantum computer, with minimal qubit requirements. We provide a quantum circuit, simulating a single first order Trotter step, that minimizes the number of 2-qubit gates needed and gives comparable results to methods requiring more qubits. Furthermore, variational approaches are investigated that allow to further decrease the circuit depth.
