Extended Data Table 1 Evolution of three-qubit state during QEC

From: Quantum error correction with silicon spin qubits

  1. The Q2 input state \(\alpha |\downarrow \rangle +\beta |\uparrow \rangle \) is encoded to the three-qubit state \(\alpha |+++\rangle +\beta |---\rangle \). For the decoded and corrected states, we write Q2 first for the sake of brevity. When the error is a coherent phase rotation Z(θ), the error coefficient \(\sqrt{p}\) (\(\sqrt{1-p}\)) is replaced with –isin(θ/2) (cos(θ/2)), whereas the result remains essentially equivalent.
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