Simulating Ising Spin Glasses on a Quantum Computer

Details Simulating Ising Spin Glasses on a Quantum Computer Simulating Ising Spin Glasses on a Quantum Computer

1996-11-21

arxiv.org/abs/quant-ph/9611038v6

Phys. Rev. E vol.56 (1997), p.3661

Physics

Quantum Physics

24 pages, 3 epsf figures, replaced with published and significantly revised version. More info available at http://www.fh.huji

Scientific paper

10.1103/PhysRevE.56.3661

A linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer. The algorithm is designed so that each run provides one configuration with a quantum probability equal to the corresponding thermodynamic weight. The partition function is thus approximated efficiently. The algorithm neither suffers from critical slowing down, nor gets stuck in local minima. The algorithm can be A linear-time algorithm is presented for the construction of the Gibbs distribution of configurations in the Ising model, on a quantum computer. The algorithm is designed so that each run provides one configuration with a quantum probability equal to the corresponding thermodynamic weight. The partition function is thus approximated efficiently. The algorithm neither suffers from critical slowing down, nor gets stuck in local minima. The algorithm can be applied in any dimension, to a class of spin-glass Ising models with a finite portion of frustrated plaquettes, diluted Ising models, and models with a magnetic field. applied in any dimension, to a class of spin-glass Ising models with a finite portion of frustrated plaquettes, diluted Ising models, and models with a magnetic field.

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