Simulating the Same Physics with Two Distinct Hamiltonians

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 infmite-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.

Automated summary

The study introduces a framework and example demonstrating how two distinct Hamiltonians in the same space can simulate the same physics. By simulating a specific quantum system, a method for creating maximally entangled states among multiple bodies is shown.