Quantum systems simulatability through classical networks
- URL: http://arxiv.org/abs/2201.00617v1
- Date: Mon, 6 Dec 2021 15:57:53 GMT
- Title: Quantum systems simulatability through classical networks
- Authors: M. Caruso
- Abstract summary: We have shown that quantum systems on finite-dimensional Hilbert spaces are equivalent under local transformations.
This result can be applied to the field of simulation of quantum systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We have shown that quantum systems on finite-dimensional Hilbert spaces are
equivalent under local transformations. Using these transformations give rise
to a gauge group that connects the hamiltonian operators associated with each
quantum system. Different quantum systems are connected in such way that
studying one of them allows to understand the other. This result can be applied
to the field of simulation of quantum systems, in order to mimic more
complicated quantum systems from another simulatable quantum system. Given that
there is a bridge that allows to simulate a particular quantum system on this
kind of Hilbert spaces using classical circuits we will provide a general
scenario to extend this bridge to simulate the time evolution, via
Schr\"odinger equation, of any of these quantum system using classical
circuits. This classical systems can be implemented and controlled more easily
in the laboratory than the quantum systems.
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