Title :
Catalyst-assisted probabilistic entanglement transformation
Author :
Feng, Yuan ; Duan, Runyao ; Ying, Mingsheng
Author_Institution :
Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China
fDate :
3/1/2005 12:00:00 AM
Abstract :
We are concerned with catalyst-assisted probabilistic entanglement transformations. A necessary and sufficient condition is presented under which there exist partial catalysts that can increase the maximal transforming probability of a given entanglement transformation. We also design an algorithm which leads to an efficient method for finding the most economical partial catalysts with minimal dimension. The mathematical structure of catalyst-assisted probabilistic transformation is carefully investigated.
Keywords :
information theory; quantum cryptography; quantum entanglement; catalyst-assisted probabilistic entanglement transformations; maximal transforming probability; partial catalyst; Algorithm design and analysis; Computer science education; Cryptography; Information processing; Information theory; Quantum entanglement; Quantum mechanics; Sufficient conditions; Teleportation; Vectors; Catalysis; catalyst-assisted transformation; majorization; partial catalyst; probabilistic entanglement transformation;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.842574