Liquid state NMR simulations of quantum many-body problems

Published

January 1, 2005

Author(s)

C. Negrevergne, Rolando Somma, Gerardo Ortiz, Emanuel Knill, R. Laflamme

Abstract

Recently developed quantum algorithms suggest that in principle, quantum computers (QCs) can solve problems such as simulation of physical systems more efficiently than classical computers. As a small- scale demonstration of this capability of quantum computers, we simulate a simple many-fermion problem, the Fano-Anderson model, using liquid state Nuclear Magnetic Resonance (NMR) for quantum information processing. If it is scaled up, our quantum simulation is efficient in the sense that the resource requirements scale polynomially with the size of the system that is simulated. The experimental results allow us to assess the limits of the degree of quantum control attained in these kinds of experiments. The simulation of other physical systems, with different particle statistics, is also discussed.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

71

Pub Type

Journals

Keywords

Fano-Anderson model, liquid state NMR quantum computing, quantum computing, quantum physics simulation

Citation

Negrevergne, C. , Somma, R. , Ortiz, G. , Knill, E. and Laflamme, R. (2005), Liquid state NMR simulations of quantum many-body problems, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 10, 2025)