Bibhas Adhikari, Satyabrata Adhikari, Subhashish Banerjee. Graph representation of quantum states
Submitted on: Oct 06, 2012, 08:06:58
Natural Sciences / Physics / Quantum field theory
Description: In this work we propose graphical representation of quantum states. Pure states require weighted digraphs with complex weights, while mixed states need, in general, edge weighted digraphs with loops; constructions which, to the best of our knowledge, are new in the theory of graphs. Both the combinatorial as well as the signless Laplacian are used for graph representation of quantum states. We also provide some interesting analogies between physical processes and graph representations. Entanglement between two qubits is approached by the development of graph operations that simulate quantum operations, resulting in the generation of Bell and Werner states. As a biproduct, the study also leads to separability criteria using graph operations. This paves the way for a study of genuine multipartite correlations using graph operations.
The abstract of this article will be published in the October 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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