Gietka Karol, Usui Ayaka, Deng Jianqiao, Busch Thomas
Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan.
Phys Rev Lett. 2021 Apr 23;126(16):160402. doi: 10.1103/PhysRevLett.126.160402.
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.
我们开发了一个框架，并给出了一个示例，说明在同一希尔伯特空间中的两个不同哈密顿量如何可用于模拟相同的物理过程。作为模拟的一个例子，我们首先讨论如何使用具有交错场的短程最近邻相互作用海森堡XXX模型来模拟无限范围相互作用的单轴扭转哈密顿量。基于此，我们展示了如何构建数字量子模拟器的另一种版本。作为一个副产品，我们提出了一种仅使用短程最近邻相互作用来创建多体最大纠缠态的方法。
