33 citations · 132 across the 20 of their papers we have counts for
4 papers · 1 filter
Asymptotic Equipartition Theorems in von Neumann algebras
Omar Fawzi, Li Gao, Mizanur Rahaman
The Asymptotic Equipartition Property (AEP) in information theory establishes that independent and identically distributed (i.i.d.) states behave in a way that is similar to unifor…
Entanglement Breaking Rank via Complementary Channels and Multiplicative Domains
David W. Kribs, Jeremy Levick, Rajesh Pereira +1
Quantum entanglement can be studied through the theory of completely positive maps in a number of ways, including by making use of the Choi-Jamilkowski isomorphism, which identifie…
Positive maps and entanglement in real Hilbert spaces
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
The theory of positive maps plays a central role in operator algebras and functional analysis, and has countless applications in quantum information science. The theory was origina…
Counterexamples to the extendibility of positive unital norm-one maps
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra…