Black hole entropy and quantum information Export

@misc{citeulike:976901, abstract = {We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E\_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane.}, archivePrefix = {arXiv}, author = {Duff, M. J. and Ferrara, S.}, citeulike-article-id = {976901}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0612036}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0612036}, day = {5}, eprint = {hep-th/0612036}, keywords = {black, e7, entropy, hole, invariant}, month = {Dec}, posted-at = {2006-12-06 15:19:21}, priority = {3}, title = {Black hole entropy and quantum information}, url = {http://arxiv.org/abs/hep-th/0612036}, year = {2006} }

TY - ELEC ID - citeulike:976901 L3 - citeulike-article-id:976901 N2 - We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane. TI - Black hole entropy and quantum information KW - black KW - e7 KW - entropy KW - hole KW - invariant AU - Duff, MJ AU - Ferrara, S PY - 2006/Dec/05/ UR - http://arxiv.org/abs/hep-th/0612036 ER -