On the comparison of volumes of quantum states

Details On the comparison of volumes of quantum states On the comparison of volumes of quantum states

2010-03-03

arxiv.org/abs/1003.0727v2

J. Phys. A: Math. Theor. 43 (2010) 315301 (17pp)

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/43/31/315301

This paper aims to study the $\a$-volume of $\cK$, an arbitrary subset of the set of $N\times N$ density matrices. The $\a$-volume is a generalization of the Hilbert-Schmidt volume and the volume induced by partial trace. We obtain two-side estimates for the $\a$-volume of $\cK$ in terms of its Hilbert-Schmidt volume. The analogous estimates between the Bures volume and the $\a$-volume are also established. We employ our results to obtain bounds for the $\a$-volume of the sets of separable quantum states and of states with positive partial transpose (PPT). Hence, our asymptotic results provide answers for questions listed on page 9 in \cite{K. Zyczkowski1998} for large $N$ in the sense of $\a$-volume. \vskip 3mm PACS numbers: 02.40.Ft, 03.65.Db, 03.65.Ud, 03.67.Mn

Affiliated with

Also associated with

No associations

Rating

On the comparison of volumes of quantum states 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 On the comparison of volumes of quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the comparison of volumes of quantum states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683926