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Trapped Ion Quantum Computing Quantum Simulation

Quantum Dynamics Simulation with Classical Oscillators

arXiv
Authors: J. S. Briggs, A. Eisfeld

Year

2013

Paper ID

32849

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled classical oscillators. Here we examine to what extent this mapping can be realised to simulate the "quantum" properties of entanglement and qubit manipulation. By working through specific examples, e.g. of quantum gate operation, we seek to illuminate quantum/classical differences which hitherto have been treated more mathematically. In addition we show that important quantum coupled phenomena, such as the Landau-Zener transition and the occurrence of Fano resonances can be simulated by classical oscillators.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.1746 [2] arXiv https://arxiv.org/abs/1309.1746 [3] Publisher https://arxiv.org/abs/1309.1746

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