论文标题
SU（2）离散子组的原始量子门：BT
Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
论文作者
论文摘要
我们在两个量子体系结构上构建了一个原始门集，用于二进制四面体（$ \ mathbb {bt} $）组的数字量子模拟。这个nonabelian离散组是对$ su（2）$ lattice量规理论的粗略近似，同时需要五个Quitbits或一个QuicoSotetrit每个仪表链路。必要的基本原始词是反转门，组乘法，跟踪门和$ \ Mathbb {bt} $ fourier在$ \ mathbb {bt} $上转换。我们通过实验性地基准了IBM内罗毕的反转和跟踪门，估计的保真度在$ 14-55 \％$之间，具体取决于输入状态。
We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral ($\mathbb{BT}$) group on two quantum architectures. This nonabelian discrete group serves as a crude approximation to $SU(2)$ lattice gauge theory while requiring five qubits or one quicosotetrit per gauge link. The necessary basic primitives are the inversion gate, the group multiplication gate, the trace gate, and the $\mathbb{BT}$ Fourier transform over $\mathbb{BT}$. We experimentally benchmark the inversion and trace gates on ibm nairobi, with estimated fidelities between $14-55\%$, depending on the input state.
