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The number of T-gates in quantum search reaches $O(2^{m/2} \cdot\text{poly}(m))$, which is beyond the capability of CHE-based QHE schemes.

But is it the same case for other bilnd QC protocols? and What is the computational complexity limitation of the remote state preparation protocols that enable a fully classical client to delegate a computation to an untrusted quantum server securely?

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