Relations for certain symmetric norms and anti-norms before and after partial trace

Details Relations for certain symmetric norms and anti-norms before and after partial trace Relations for certain symmetric norms and anti-norms before and after partial trace

2012-02-17

arxiv.org/abs/1202.3853v1

Physics

Quantum Physics

9 pages, no figures

Scientific paper

Changes of some unitarily invariant norms and anti-norms under the operation of partial trace are examined. The norms considered form a two-parametric family, including both the Ky Fan and Schatten norms as particular cases. The obtained results concern operators acting on the tensor product of two finite-dimensional Hilbert spaces. For any such operator, we obtain lower bounds on norms of its partial trace in terms of the corresponding dimensionality and norms of this operator. Similar inequalities, but in the opposite direction, are obtained for certain anti-norms of positive matrices. Applications of the results to generalized quantum entropies are discussed. We derive inequalities between the unified entropies of a composite quantum system and one of its subsystems, where the traced-out dimensionality is involved as well.

Affiliated with

Also associated with

No associations

Rating

Relations for certain symmetric norms and anti-norms before and after partial trace 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 Relations for certain symmetric norms and anti-norms before and after partial trace, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relations for certain symmetric norms and anti-norms before and after partial trace will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35440