Local available quantum correlations (LAQC), as defined by Mundarain et al., are analyzed for two subsets of 2-qubit X states. We start by studying X-states that are symmetric under the exchange of subsystems, that is, those with the same non-null local Bloch vector. We also analyze the subset of states that are anti-symmetric under subsystem exchange, that is, those that have non-null local Bloch vectors with an equal magnitude but opposite direction. We present various examples and compare the obtained results to concurrence as an entanglement measure and with quantum discord. We have also included markovian decoherence, with the analysis of amplitude damping decoherence for Werner states. As was previously observed for depolarization and phase damping decoherence, LAQC did not exhibit sudden death behavior for Werner states under amplitude damping decoherence.
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