Quantum Computing: QuBit state from a multi-QuBit register (page 99)

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Hi Dominique,
All that the statement you referenced is saying is that the quantum state of the first qubit, q[0], is in a superposition of 4 states: |0>, |0>, |1>, |1>. This is simply abbreviated for ease of reading to |0011>.

You are right that that the entire state must be considered as a whole. This is precisely the mega-qubit.

Hope this helps.

Regards,
Nihal