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arXiv · 1604.02992

Algorithmic quantum simulation of memory effects

U. Alvarez-Rodriguez·R. Di Candia·J. Casanova·M. Sanz·E. Solano
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Abstract

We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our method aims to efficiently simulate both completely positive and nonpositive dynamics without the requirement of engineering non-Markovian environments. Finally, we find that small error bounds can be reached with polynomially scaling resources, evaluated as the time required for the simulation.

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U. Alvarez-Rodriguez, R. Di Candia, J. Casanova, M. Sanz, E. Solano. 2017-02-10. Algorithmic quantum simulation of memory effects. https://doi.org/10.1103/physreva.95.020301

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