2008

Duality of cones of positive maps

Størmer, Erling

Understand

We study the so-called K-positive linear maps from B(L) into B(H) for finite dimensional Hilbert spaces L and H and give characterizations of the dual cone of the cone of K-positive maps.

  • Applications are given to decomposable maps and PPT-states.

Built on

  • M-D. Choi, Completely positive linear maps on complex matrices

    1975

    Earlier work this paper cites.

  • E.Størmer, Decomposable positive maps on C ∗ C^{*} -algebras

    1982

    Earlier work this paper cites.

  • E.Størmer, Extension of positive maps into B ⁡ ( H ) B(H)

    1986

    Earlier work this paper cites.

Similar

  • M.Horodecki, P.Horodecki, and R.Horodecki, Separability of mixed states: necessary and sufficient conditions

    1996

    Cited alongside, same era.

  • M.Horodecki, P.W.Shor, and M.B.Ruskai, Entanglement breaking channels

    2003

    Cited alongside, same era.

  • E.Størmer, Separable states and positive maps II

    Cited in the paper.

Then

  • I.Bengtsson and K. Zyczkowski, Geometry of quantum states

    2006

    Later among the works it cites.

  • E.Størmer, Separable states and positive maps

    2008

    Closest in time.

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