Klavzar, S and Severini, S (2010) Tensor 2-sums and entanglement. J PHYS A-MATH THEOR , 43 (21) , Article 212001. 10.1088/1751-8113/43/21/212001.
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Abstract
To define a minimal mathematical framework for isolating some of the characteristic properties of quantum entanglement, we introduce a generalization of the tensor product of graphs. Inspired by the notion of a density matrix, the generalization is a simple one: every graph can be obtained by addition modulo two, possibly with many summands, of tensor products of adjacency matrices. In light of this, we are still able to prove a combinatorial analogue of the Peres-Horodecki criterion for testing separability.
| Type: | Article |
|---|---|
| Title: | Tensor 2-sums and entanglement |
| DOI: | 10.1088/1751-8113/43/21/212001 |
| Keywords: | GRAPHS, PRODUCTS |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Computer Science |
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