Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems

Details Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems

2005-05-11

arxiv.org/abs/cond-mat/0505288v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevLett.95.140501

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.

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