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Topological Quantum Computing
Quantum Simulation
Quantum Thermodynamics
Gapless Hamiltonians for the toric code using the PEPS formalism
arXiv
Authors: Carlos Fernández-González, Norbert Schuch, Michael M. Wolf, J. Ignacio Cirac, David Pérez-García
Year
2011
Paper ID
29555
Status
Preprint
Abstract Read
~2 min
Abstract Words
70
Citations
N/A
Abstract
We study Hamiltonians which have Kitaev's toric code as a ground state, and show how to construct a Hamiltonian which shares the ground space of the toric code, but which has gapless excitations with a continuous spectrum in the thermodynamic limit. Our construction is based on the framework of Projected Entangled Pair States (PEPS), and can be applied to a large class of two-dimensional systems to obtain gapless "uncle Hamiltonians".
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- We study Hamiltonians which have Kitaev's toric code as a ground state, and show how to construct a Hamiltonian which shares the ground space of the toric code, but which has...
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