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Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems

Other Condensed Matter 2009-11-11 v1 Quantum Physics

Abstract

We present an algorithm that exploits quantum parallelism to simulate randomness in a quantum system. In our scheme, all possible realizations of the random parameters are encoded quantum mechanically in a superposition state of an auxiliary system. We show how our algorithm allows for the efficient simulation of dynamics of quantum random spin chains with known numerical methods. We also propose an experimental realization based on atoms in optical lattices in which disorder could be simulated in parallel and in a controlled way through the interaction with another atomic species.

Keywords

Cite

@article{arxiv.cond-mat/0505288,
  title  = {Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems},
  author = {B. Paredes and F. Verstraete and J. I. Cirac},
  journal= {arXiv preprint arXiv:cond-mat/0505288},
  year   = {2009}
}