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Quantum Simulation

Simulating the same physics with two distinct Hamiltonians

arXiv
Authors: Karol Gietka, Ayaka Usui, Jianqiao Deng, Thomas Busch

Year

2020

Paper ID

22258

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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