Geometric Entanglement of Symmetric States and the Majorana Representation
نویسندگان
چکیده
Martin Aulbach, 2, ∗ Damian Markham, † and Mio Murao 5, ‡ The School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom Department of Physics, University of Oxford, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom CNRS, LTCI, Telecom ParisTech, 23 Avenue d’Italie, 75013 Paris, France Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan Institute for Nano Quantum Information Electronics, The University of Tokyo, Tokyo 113-0033, Japan
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The maximally entangled symmetric state in terms of the geometric measure
The geometric measure of entanglement is investigated for permutation symmetric pure states of multipartite qubit systems, in particular the question of maximum entanglement. This is done with the help of the Majorana representation, which maps an n qubit symmetric state to n points on the unit sphere. It is shown how symmetries of the point distribution can be exploited to simplify the calcula...
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