Title :
Separability criterion in prime dimensions based on Landau-Pollak uncertainty relation
Author :
Yoshida, Masakazu ; Miyadera, Takayuki ; Imai, Hideki
Author_Institution :
Dept. of Electr., Electron. & Commun. Eng., Chuo Univ., Tokyo
Abstract :
We introduce a novel separability criterion for bipartite systems that consist of prime dimensional Hilbert spaces. We derive a strict Landau-Pollak uncertainty relation for observables related with MUB, which allows us to obtain the separability criterion. For the isotropic states, our criterion distinguishes the entangled states correctly.
Keywords :
Hilbert spaces; quantum theory; Landau-Pollak uncertainty relation; bipartite systems; isotropic states; prime dimensional Hilbert spaces; separability criterion; Hilbert space; Industrial electronics; Information security; Information theory; Probability distribution; Quantum computing; Quantum entanglement; Quantum mechanics; Space technology; Uncertainty;
Conference_Titel :
Information Theory and Its Applications, 2008. ISITA 2008. International Symposium on
Conference_Location :
Auckland
Print_ISBN :
978-1-4244-2068-1
Electronic_ISBN :
978-1-4244-2069-8
DOI :
10.1109/ISITA.2008.4895458
