论文标题
在1+1个维度中对量子染色体动力学的量子模拟的准备：（ii）实时实时的单 - 巴里昂$β$ -Decay
Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $β$-Decay in Real Time
论文作者
论文摘要
在一个空间尺寸中，在一个2味的晶格理论中，用于实时弱衰变的量子模拟的框架。在通过Jordan-Wigner Transformation映射到旋转操作员后，发现单一一代的标准模型需要每个空间晶格位点16个Qubit。量子染色体动力学和改变风味的弱相互作用都包含在动力学中，后者通过四效算子。在该晶格理论中实现时间演变的量子电路是开发的，并在Quantinuum的H1-1 20 Quit被困的离子系统上运行，以模拟一个晶格位点上的单个Baryon的$β$ - 订单。这些模拟包括初始状态准备，并针对一个和两个小猪排时间步骤进行。讨论了这种类型的晶格理论的潜在固有误差校正特性，并提供了由中微子Majorana质量术语诱导的原子核的$0νββ$ decay所需的领先晶格汉密尔顿。
A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a 2-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial lattice site after mapping to spin operators via the Jordan-Wigner transformation. Both quantum chromodynamics and flavor-changing weak interactions are included in the dynamics, the latter through four-Fermi effective operators. Quantum circuits which implement time evolution in this lattice theory are developed and run on Quantinuum's H1-1 20-qubit trapped ion system to simulate the $β$-decay of a single baryon on one lattice site. These simulations include the initial state preparation and are performed for both one and two Trotter time steps. The potential intrinsic error-correction properties of this type of lattice theory are discussed and the leading lattice Hamiltonian required to simulate $0νββ$-decay of nuclei induced by a neutrino Majorana mass term is provided.
