Model specification: Shared effective capture port

Two memory amplitudes $z(t)\in {\mathbb{C}}^2$ and one incoming port amplitude $u(t)$ evolve by

The quantum evolution is the second quantization of this one-particle map.

The initial memories have a named joint state ${\sigma }_c$, independent of radiation, spectators, and references. Write $p_c=d_{\mathrm{tr}}({\sigma }_c,|0,0⟩⟨0,0|)$. An explicit allowed preparation is

It may have internal correlations.

A subsequent common storage interval has vacuum transmissivity $s=e^{-{\kappa }_s{T}_s}$ on each memory, with independent vacuum loss ports and no additional unpriced interaction. Define ${\tau }_{\ast }=\tau s$. The clock is the predecessor's normalized asymptotic time.