Talk Title: Valence-bond ground states of quantum antiferromagnets
as a resource for universal quantum computation The study of quantum spin systems dates back to the early
twentieth century and has been an active research field. Quantum computation,
on the other hand, is a relatively new research field, of less than three
decades of age. In this talk, we shall first review the idea of quantum
computation by measurement in the setting of cluster-state one-way
computers. Then we investigate the
question of whether quantum computational resource states can arise as ground
states of two-body interacting Hamiltonians. It is know that, unfortunately,
cluster states cannot be unique ground states of such Hamiltonians. In
particular we shall examine a few examples that are constructed from
Affleck-Kennedy-Lieb-Tasaki (AKLT) models of quantum antiferromagnets and show
an intriguing connection between these AKLT-type states and cluster states. Click to download: Presentation File
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