## Is qubit superposition a basis-dependent concept?

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The qubit $$a\left|0\right>+b\left|1\right>$$ is a superposition w.r.t. the basis $$\left\lbrace\left|0\right>,\, \left|1\right>\right\rbrace$$ because it may collapse to $$\left|0\right>$$ or $$\left|1\right>$$ when measured w.r.t. the above basis. However the same qubit, when measured w.r.t the basis $$\left\lbrace a\left|0\right>+b\left|1\right>, b^*\left|0\right>−a^*\left|1\right>\right\rbrace$$, always collapses to the first vector.

Can I therefore conclude that superposition is a basis-dependent concept?