On Strong Superadditivity of the Entanglement of Formation

Details On Strong Superadditivity of the Entanglement of Formation On Strong Superadditivity of the Entanglement of Formation

2003-03-10

arxiv.org/abs/quant-ph/0303045v2

Communications in Mathematical Physics (246) No 3, 443-452, (2004)

Physics

Quantum Physics

11 pages; refs added, explanatory improvements

Scientific paper

10.1007/s00220-003-0987-1

We employ a basic formalism from convex analysis to show a simple relation between the entanglement of formation $E_F$ and the conjugate function $E^*$ of the entanglement function $E(\rho)=S(\trace_A\rho)$. We then consider the conjectured strong superadditivity of the entanglement of formation $E_F(\rho) \ge E_F(\rho_I)+E_F(\rho_{II})$, where $\rho_I$ and $\rho_{II}$ are the reductions of $\rho$ to the different Hilbert space copies, and prove that it is equivalent with subadditivity of $E^*$. As an application, we show that strong superadditivity would follow from multiplicativity of the maximal channel output purity for all non-trace-preserving quantum channels, when purity is measured by Schatten $p$-norms for $p$ tending to 1.

Affiliated with

Also associated with

No associations

Rating

On Strong Superadditivity of the Entanglement of Formation 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 Strong Superadditivity of the Entanglement of Formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Strong Superadditivity of the Entanglement of Formation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284155