= Computational history state
{title2=$|\varphi\rangle=(T+1)^{-1/2}\sum_t|\psi_t\rangle|c_t\rangle$}
= Quantum history state
{synonym}
A <computational history state> coherently records a circuit's intermediate states with orthogonal clock labels: $(T+1)^{-1/2}\sum_{t=0}^T|\psi_t\rangle|c_t\rangle$. A propagation term penalizes a mismatch between adjacent time labels and the corresponding gate. With correct propagation, uniform coefficients form a zero-energy <ground state> within the history subspace.
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