Braunstein-Ghosh-Severini Entropy

In network theory, the Braunstein-Ghosh-Severini entropy^[1]^[2] (BGS entropy) of a network is the von Neumann entropy of a density matrix given by a normalized Laplacian matrix of the network. This definition of entropy does not have a clear thermodynamical interpretation. The BGS entropy has been used in the context of quantum gravity.^[3]

Notes and references

↑ Braunstein, Samuel L.; Ghosh, Sibasish; Severini, Simone (2006). "The Laplacian of a Graph as a Density Matrix: A Basic Combinatorial Approach to Separability of Mixed States". Annals of Combinatorics (Springer Science and Business Media LLC) 10 (3): 291–317. doi:10.1007/s00026-006-0289-3. ISSN 0218-0006.
↑ Anand, Kartik; Bianconi, Ginestra (13 October 2009). "Entropy measures for networks: Toward an information theory of complex topologies". Physical Review E (American Physical Society (APS)) 80 (4): 045102(R). doi:10.1103/physreve.80.045102. ISSN 1539-3755. PMID 19905379.
↑ Rovelli, Carlo; Vidotto, Francesca (24 February 2010). "Single particle in quantum gravity and Braunstein-Ghosh-Severini entropy of a spin network". Physical Review D (American Physical Society (APS)) 81 (4): 044038. doi:10.1103/physrevd.81.044038. ISSN 1550-7998.

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[1] Braunstein, Samuel L.; Ghosh, Sibasish; Severini, Simone (2006). "The Laplacian of a Graph as a Density Matrix: A Basic Combinatorial Approach to Separability of Mixed States". Annals of Combinatorics (Springer Science and Business Media LLC) 10 (3): 291–317. doi:10.1007/s00026-006-0289-3. ISSN 0218-0006.

[2] Anand, Kartik; Bianconi, Ginestra (13 October 2009). "Entropy measures for networks: Toward an information theory of complex topologies". Physical Review E (American Physical Society (APS)) 80 (4): 045102(R). doi:10.1103/physreve.80.045102. ISSN 1539-3755. PMID 19905379.

[3] Rovelli, Carlo; Vidotto, Francesca (24 February 2010). "Single particle in quantum gravity and Braunstein-Ghosh-Severini entropy of a spin network". Physical Review D (American Physical Society (APS)) 81 (4): 044038. doi:10.1103/physrevd.81.044038. ISSN 1550-7998.