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quant-phSep 1, 2019
1
citations (OpenAlex)
authors
  • K. V. Antipin
institutions
  • Lomonosov Moscow State University
arXiv abstractPDF
paper

Channel-state duality and the separability problem

arXiv:1909.13309

Abstract

Separability of quantum states is analyzed with the use of the Choi-Jamiolkowski isomorphism. Spectral separability criteria are derived. The presented approach is illustrated with various examples, among which a separable decomposition of 2 \otimes 2 isotropic states is obtained.

arXiv comment22 pages

References in corpus (12)

  • Separability Criterion for Density Matrices
  • Bell Inequalities and the Separability Criterion
  • General Entanglement Breaking Channels
  • Separable states are more disordered globally than locally
  • Some Properties of the Computable Cross Norm Criterion for Separability
  • Operational criterion and constructive checks for the separability of low rank density matrices
  • Family of bound entangled states on the boundary of Peres set
  • On extremal quantum states of composite systems with fixed marginals
  • A necessary and sufficient criterion for multipartite separable states
  • Reduction criterion of separability and limits for a class of protocols of entanglement distillation
  • Bipartite states of low rank are almost surely entangled
  • Algorithmic constructions of unitary matrices and tight frames

Cited by in corpus (1)

  • Quantum State-Channel Duality for the calculation of Standard Model scattering amplitudes
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