# σ Models on Quantum Computers.

@article{Alexandru2019MO,
title={$\sigma$ Models on Quantum Computers.},
author={Andrei Alexandru and Paulo Bedaque and Henry Lamm and Scott Lawrence},
journal={Physical review letters},
year={2019},
volume={123 9},
pages={
090501
}
}
We formulate a discretization of σ models suitable for simulation by quantum computers. Space is substituted with a lattice, as usually done in lattice field theory, while the target space (a sphere) is replaced by the "fuzzy sphere", a construction well known from noncommutative geometry. Contrary to more naive discretizations of the sphere, in this construction the exact O(3) symmetry is maintained, which suggests that the discretized model is in the same universality class as the continuum… Expand
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