A new entanglement measure induced by the Hilbert–Schmidt norm

A New Entanglement Measure Induced By the

A new entanglement measure induced

In this letter we discuss a new entanglement measure. It is based on the Hilbert-Schmidt norm of operators. We give an explicit formula for calculating the entanglement of a large set of states on C 2 C 2. Furthermore we nd some relations between the entanglement of relative entropy and the Hilbert-Schmidt entanglement. A rigorous deenition of partial transposition is given in the appendix.

Maximal entanglement - A new measure of entanglement

Maximal correlation is a measure of correlation for bipartite distributions. This measure has two intriguing features: (1) it is monotone under local stochastic maps; (2) it gives the same number when computed on i.i.d. copies of a pair of random variables. This measure of correlation has recently been generalized for bipartite quantum states, for which the same properties have been proved. In ...

A new entanglement measure: D-concurrence

otherwise it is entangled or inseparable. Then a question arises: How to detect whether a state is entangled or not? If ρ is entangled, how to quantify the degree of its entanglement? To answer these two questions, we need to introduce some measures of entanglement to quantify the degree of entanglement. The entanglement measure for a state is zero iff the state is separable, and the bigger is ...

The Bell inequality: a measure of entanglement?

Entanglement is a critical resource used in many current quantum information schemes. As such entanglement has been extensively studied in two qubit systems and its entanglement nature has been exhibited by violations of the Bell inequality. Can the amount of violation of the Bell inequality be used to quantify the degree of entanglement? What do Bell inequalities indicate about the nature of e...