Local available quantum correlations of non-symmetric X-states

Local available quantum correlations (LAQC), as defined by Mundarain et al., are analyzed for nonsymmetric 2-qubit X states, that is, X states that are not invariant under the exchange of subsystems and therefore have local Bloch vectors whose norms are different. A simple analytic expression for their LAQC quantifier is obtained. As an example, we analyze the local application of the amplitude damping channel for Werner states and general X states. Although this local quantum channel can create quantum discord in some cases, no such outcome is possible for LAQC, which hints toward their monotonicity under LOCC operations. This work, along with our previous result for the so-called symmetric and anti-symmetric X states, completes the pursuit of exact analytical expressions for the LAQC quantifier for 2-qubit X states.

Automated summary

This paper analyzes the local available quantum correlations (LAQC) of nonsymmetric 2-qubit X states and obtains an analytic expression for their quantifier. The study demonstrates that although local quantum channels can create quantum discord in X states in some cases, no such outcome is possible for LAQC, suggesting their monotonicity under LOCC operations.