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In comparison, in Pauli quantum computing, we use I and X to take the roles of |0⟩ and |1⟩ in SQC

In standard quantum computing, we start from an initial state |ψS0 ⟩, then implement a unitary quantum circuit U to generate an output state U |ψS0 ⟩ which is further measured to e

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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 1

    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.