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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.
Why This Paper Matters
- 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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