论文标题
量子计算机的晶格量表理论
Lattice Gauge Theory for a Quantum Computer
论文作者
论文摘要
量子链接〜\ cite {brower：1997ha}哈密顿式被引入了二十年前，作为威尔逊的欧几里得晶格QCD的替代方案，其量规场由双线性费米（Bi-linear）效率/抗毛绒操作员代表。当概括这个新的显微镜表示时，晶格场理论被称为{\ tt d-theory}〜\ cite {brower：2003vy}。在Minkowski空间中重新铸造为实时演变的哈密顿量，D理论自然会导致量子量子算法。在这里，定义了在三角形晶格上的u（1）紧凑量QED的数字量子计算，并定义了Suzuki-Trotter扩展的规范不变核表示为Qubit Circuts，该量子电路能够在IBM-Q上测试IBM-Q和其他现有的杂音中间尺度量子量量标；这是探索D理论的量子复杂性，以指导对高能量物理和凝结物质量子场理论的未来应用。
The quantum link~\cite{Brower:1997ha} Hamiltonian was introduced two decades ago as an alternative to Wilson's Euclidean lattice QCD with gauge fields represented by bi-linear fermion/anti-fermion operators. When generalized this new microscopic representation of lattice field theories is referred as {\tt D-theory}~\cite{Brower:2003vy}. Recast as a Hamiltonian in Minkowski space for real time evolution, D-theory leads naturally to quantum Qubit algorithms. Here to explore digital quantum computing for gauge theories, the simplest example of U(1) compact QED on triangular lattice is defined and gauge invariant kernels for the Suzuki-Trotter expansions are expressed as Qubit circuits capable of being tested on the IBM-Q and other existing Noisy Intermediate Scale Quantum (NISQ) hardware. This is a modest step in exploring the quantum complexity of D-theory to guide future applications to high energy physics and condensed matter quantum field theories.
