-

 

 

 




Optimization Online





 

Numerical estimation of the relative entropy of entanglement

Yuriy Zinchenko(yzinchen***at***math.ucalgary.ca)
Shmuel Friedland(friedlan***at***uic.edu)
Gilad Gour(gour***at***math.ucalgary.ca)

Abstract: We propose a practical algorithm for the calculation of the relative entropy of entanglement(REE), defined as the minimum relative entropy between a state and the set of states with positive partial transpose. Our algorithm is based on a practical semi-definite cutting plane approach. In low dimensions the implementation of the algorithm in MATLAB provides an estimation for the REE with an absolute error smaller than .001.

Keywords: Quantum information theory, relative entropy, entanglement, semi-definite cutting planes

Category 1: Applications -- Science and Engineering (Basic Sciences Applications )

Category 2: Applications -- Science and Engineering (Other )

Citation:

Download: [PDF]

Entry Submitted: 11/29/2010
Entry Accepted: 12/02/2010
Entry Last Modified: 11/29/2010

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society