Quantum Simulators in Other Frames of Reference.

We show how by exploiting the knowledge of the frame of reference connecting two arbitrary Hamiltonians, one can use one Hamiltonian to simulate the physics of the other one. As an example, 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 to the existing ideas of digital quantum simulators. As a by-product, we present a method for creating many-body entangled states using only short-range nearest-neighbor interactions.