I am having trouble understanding how the idea of qualia and p-zombies is

I am having trouble understanding how the idea of qualia and p-zombies is

I am having trouble understanding how the idea of qualia and p-zombies is logically coherent. If philosophical zombies are conceivable, and behave exactly the same as human beings, then zombies would also claim that they possess conscious experience / qualia, even though they do not. Doesn't it then follow that our conviction that we have qualia cannot be DUE to us actually having qualia, since zombies would hold the same conviction? Thanks.

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