Physics – Quantum Physics
Scientific paper
2003-09-17
Phys. Rev. A 68, 022106 (2003)
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.68.022106
This paper focuses on the geometric phase of entangled states of bi-partite systems under bi-local unitary evolution. We investigate the relation between the geometric phase of the system and those of the subsystems. It is shown that (1) the geometric phase of cyclic entangled states with non-degenerate eigenvalues can always be decomposed into a sum of weighted non-modular pure state phases pertaining to the separable components of the Schmidt decomposition, though the same cannot be said in the non-cyclic case, and (2) the geometric phase of the mixed state of one subsystem is generally different from that of the entangled state even by keeping the other subsystem fixed, but the two phases are the same when the evolution operator satisfies conditions where each component in the Schmidt decomposition is parallel transported.
Ericsson Marie
Kwek Leong Chuan
Oh Chang-Heon
Sjöqvist Erik
Tong Dian-Min
No associations
LandOfFree
Relation between geometric phases of entangled bi-partite systems and their subsystems 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 Relation between geometric phases of entangled bi-partite systems and their subsystems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relation between geometric phases of entangled bi-partite systems and their subsystems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-137916