论文标题
用两个不同的汉密尔顿人模拟相同的物理
Simulating the same physics with two distinct Hamiltonians
论文作者
论文摘要
我们开发了一个框架，并为情况提供了一个例子，其中两个生活在同一希尔伯特空间中的截然不同的汉密尔顿人可以用于模拟相同的物理学。作为模拟模拟的一个示例，我们首先讨论如何使用带有交错场的短距离邻里互动Heisenberg XXX模型模拟无限距离交流单轴扭曲的汉密尔顿。基于此，我们展示了如何构建数字量子模拟器的替代版本。作为副产品，我们提出了一种仅使用短距离近邻居相互作用来创建多体最大纠缠状态的方法。
We develop a framework and give an example for situations where two distinct Hamiltonians living in the same Hilbert space can be used to simulate the same physics. As an example of an analog simulation, we first discuss how one can simulate an infinite-range-interaction one-axis twisting Hamiltonian using a short-range nearest-neighbor-interaction Heisenberg XXX model with a staggered field. Based on this, we show how one can build an alternative version of a digital quantum simulator. As a by-product, we present a method for creating many-body maximally entangled states using only short-range nearest-neighbor interactions.
