Physics – Quantum Physics
Scientific paper
1998-12-30
Proc.Roy.Soc.Lond. A458 (2001) 209-232
Physics
Quantum Physics
15 pages, Latex2e
Scientific paper
The mathematical structure of quantum entanglement is studied and classified from the point of view of quantum compound states. We show that t he classical-quantum correspondences such as encodings can be treated as dia gonal (d-) entanglements. The mutual entropy of the d-compound and entangled states lead to two different types of entropies for a given quantum state: t he von Neumann entropy, which is achieved as the supremum of the information over all d-entanglements, and the dimensional entropy, which is achieved at the standard entanglement, the true quantum entanglement, coinciding with a d-entanglement only in the case of pure marginal states. The q-capacity of a quantum noiseless channel, defined as the supremum over all entanglements, i s given by the logarithm of the dimensionality of the input algebra. It doub les the classical capacity, achieved as the supremum over all d-entanglement s (encodings), which is bounded by the logarithm of the dimensionality of a maximal Abelian subalgebra.
Belavkin Viacheslav P.
Ohya Masanori
No associations
LandOfFree
Quantum entanglements and entangled mutual entropy 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 Quantum entanglements and entangled mutual entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum entanglements and entangled mutual entropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-725945