Highly entangled quantum spin chains and their semigroup extensions
August 02, 2019
We discuss spin chain models exhibiting extraordinary large entanglement which violates the area law by a square root of the volume.
It is striking because the violation had been believed to be at most logarithmic over twenty years. Next, we construct extended models of the spin chains
based on symmetric inverse semigroups. It will be interesting to apply these models to problems in quantum gravity or black holes.
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