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29 March 2024
 
  » arxiv » 0806.0887

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The partial K-way negativities and three tangle for three qubit states
S. Shelly Sharma ; N. K. Sharma ;
Date 5 Jun 2008
AbstractWe obtain, analytically, the global negativity, partial K-way negativities (K=2, 3), Wooter’s tangle and three tangle for the generic three qubit canonical state. It is found that the product of global negativity and partial three way negativity is equal to three tangle, while the partial two way negativity is related to tangle of qubit pairs. We also calculate similar quantities for the state canonical to a single parameter (0<q<1) pure state which is a linear combination of a GHZ state and a W state. In this case for q=0.62685, the state has zero three tangle and zero three-way negativity, having only W-like entanglement. The difference between the product of global and partial three way negativity and three tangle for a given state is a quantitative measure of two qubit coherences transformed by unitary transformations on canonical state into three qubit coherences.
Source arXiv, 0806.0887
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