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When V is built by the above 4 gates, it has the form V = H ⊗nU H⊗n with U a unitary circuit com- posed of {H, Sg, T,CNOT}

We give concrete optimal CBE constructions for {H, HSgH, HT H,(H ⊗ H)CNOT(H ⊗ H)} in the Appendix A

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$

quant-ph · 2024-12-04 · conditional · novelty 5.0

Pauli quantum computing encodes |0> and |1> as the Pauli operators I and X inside density matrix off-diagonal blocks, yielding exponential query reductions for estimating certain amplitudes and a linear-query search algorithm under an oracle assumption.

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  • Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ quant-ph · 2024-12-04 · conditional · none · ref 2

    Pauli quantum computing encodes |0> and |1> as the Pauli operators I and X inside density matrix off-diagonal blocks, yielding exponential query reductions for estimating certain amplitudes and a linear-query search algorithm under an oracle assumption.