Physics – Quantum Physics
Scientific paper
2010-03-29
New J. Phys. 12 (2010) 073025
Physics
Quantum Physics
18 pages, 15 figures, small corrections and additions to contents and references
Scientific paper
10.1088/1367-2630/12/7/073025
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 calculation of entanglement and also help find the maximally entangled symmetric state. Using a combination of analytical and numerical results, the most entangled symmetric states for up to 12 qubits are explored and discussed. The optimization problem on the sphere presented here is then compared with two classical optimization problems on the S^2 sphere, namely Toth's problem and Thomson's problem, and it is observed that, in general, they are different problems.
Aulbach Martin
Markham Damian
Murao Mio
No associations
LandOfFree
The maximally entangled symmetric state in terms of the geometric measure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The maximally entangled symmetric state in terms of the geometric measure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The maximally entangled symmetric state in terms of the geometric measure will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-501348