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quant-phApr 25, 2007
38
citations (OpenAlex)
authors
  • Jon Magne Leinaas
  • Jan Myrheim
  • Eirik Ovrum
institutions
  • Norwegian University of Science and Technology
  • University of Oslo
arXiv abstractPDF
paper

Extreme points of the set of density matrices with positive partial transpose

arXiv:0704.3348 · doi:10.1103/PhysRevA.76.034304

Abstract

We present a necessary and sufficient condition for a finite dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem. We also give an algorithm for finding such extreme points and illustrate this by some examples.

4 pages, 2 figures

References in corpus (1)

  • A (5,5) and (6,6) PPT edge state

Cited by in corpus (10)

  • Fundamental bound on the reliability of quantum information transmission
  • On the strong converses for the quantum channel capacity theorems
  • On circulant states with positive partial transpose
  • Numerical studies of entangled PPT states in composite quantum systems
  • Equivalence classes and canonical forms for two-qutrit entangled states of rank four having positive partial transpose
  • Extremal states of positive partial transpose in a system of three qubits
  • A family of generalized Horodecki-like entangled states
  • On the extreme points of sets of absolulely separable and PPT states
  • On the state space structure of tripartite quantum systems
  • Nongeneric positive partial transpose states of rank five in 3×3 dimensions
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