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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Decrease of entanglement by local operations in the Dür-Cirac method

arXiv
Authors: Yukihiro Ota, Motoyuki Yoshida, Ichiro Ohba

Year

2007

Paper ID

50604

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

One cannot always obtain information about entanglement by the Dür-Cirac (DC) method. The impracticality is attributed to the decrease of entanglement by local operations in the DC method. We show that, even in 2--qubit systems, there exist states whose entangled property the DC method never evaluates. The class of such states in 2--qubit systems is completely characterized by the value of the fully entangled fraction. Actually, a state whose fully entangled fraction is less than or equal to 1/2 is always transformed into a separable state by local operations in the DC method, even if it has negative partial transposition.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • One cannot always obtain information about entanglement by the Dür-Cirac (DC) method.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.1375 [2] arXiv https://arxiv.org/abs/0704.1375 [3] Publisher https://arxiv.org/abs/0704.1375

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