E_7 and the tripartite entanglement of seven qubits Export

@misc{citeulike:884589, abstract = {In quantum information theory, it is well known that the tripartite entanglement of three qubits is described by the group [SL(2,C)]^3 and that the entanglement measure is given by Cayley's hyperdeterminant. This has provided an analogy with certain N=2 supersymmetric black holes in string theory, whose entropy is also given by the hyperdeterminant. In this paper, we extend the analogy to N=8. We propose that a particular tripartite entanglement of seven qubits is described by the exceptional group E\_7(C) and that the entanglement measure is given by Cartan's quartic E\_7 invariant.}, archivePrefix = {arXiv}, author = {Duff, M. J. and Ferrara, S.}, citeulike-article-id = {884589}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/0609227}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/0609227}, day = {29}, eprint = {quant-ph/0609227}, keywords = {e7, information, qubits}, month = {Sep}, posted-at = {2006-10-05 11:21:17}, priority = {2}, title = {E\_7 and the tripartite entanglement of seven qubits}, url = {http://arxiv.org/abs/quant-ph/0609227}, year = {2006} }

TY - ELEC ID - citeulike:884589 L3 - citeulike-article-id:884589 N2 - In quantum information theory, it is well known that the tripartite entanglement of three qubits is described by the group [SL(2,C)]^3 and that the entanglement measure is given by Cayley's hyperdeterminant. This has provided an analogy with certain N=2 supersymmetric black holes in string theory, whose entropy is also given by the hyperdeterminant. In this paper, we extend the analogy to N=8. We propose that a particular tripartite entanglement of seven qubits is described by the exceptional group E_7(C) and that the entanglement measure is given by Cartan's quartic E_7 invariant. TI - E_7 and the tripartite entanglement of seven qubits KW - e7 KW - information KW - qubits AU - Duff, MJ AU - Ferrara, S PY - 2006/Sep/29/ UR - http://arxiv.org/abs/quant-ph/0609227 ER -