Encoding graphs into quantum states: an axiomatic approach

Details Encoding graphs into quantum states: an axiomatic approach Encoding graphs into quantum states: an axiomatic approach

2011-10-25

arxiv.org/abs/1110.5681v1

Physics

Quantum Physics

Scientific paper

A fundamental problem in quantum information is to describe efficiently multipartite quantum states. Several families (graph, cluster, stabilizer states) have an efficient representation in terms of graphs, motivating us to extend this construction to other classes. We introduce an axiomatic framework for mapping graphs to quantum states of a suitable physical system. Starting from three general axioms we derived a rich structure which includes and generalizes several classes of multipartite entangled state, like graph/stabilizer states, Gaussian cluster states, quantum random networks and projected entangled pair states (PEPS). The present formalism can be extended to include oriented and weighted graphs.

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