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Manuscript Em03-C@1 · Em03-C-v1.tex · figure · 47dd71ec

Phase missed by number records

Joint count certificates and bounded diagnostics › Information that number records miss · lines 2081–2093

Em03-C@1#fig:phase

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∣ψ+⟩=(∣10⟩+∣01⟩)/2\lvert\psi_+\rangle=(\lvert 10\rangle+\lvert 01\rangle)/\sqrt2
X⊗X=+1X\otimes X=+1
same NN law
∣ψ−⟩=(∣10⟩−∣01⟩)/2\lvert\psi_-\rangle=(\lvert 10\rangle-\lvert 01\rangle)/\sqrt2
X⊗X=−1X\otimes X=-1
Same joint number law. Unused encoded qubits are zero. The distinguishing setting is a Pauli string, not a count. Synthetic controls.

A phase-sensitive distinction missed by number records. The states are synthetic controls.

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