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Equation 23 · Part 3 · The Bit Comes Back Before the Bearing

Symbol R

ϵL(t)  =  min⁡R[ 1−Fe(R∘Nt,  id) ],tL(ϵ)  =  min⁡{ t:ϵL(t)≤ϵ }.\epsilon_L(t) \;=\; \min_{\mathcal R}\Big[\,1 - F_e\big(\mathcal R \circ \mathcal N_t,\; \mathrm{id}\big)\,\Big], \qquad t_L(\epsilon) \;=\; \min\{\,t : \epsilon_L(t) \le \epsilon\,\}.
RR

What this part means

R appears in the objective or constraint used by the optimization on the right.

Its job in the formula

R appears in the objective or constraint used by the optimization on the right.

The passage around this formula

For the qubit, returned means: there exists a recovery channel R\mathcal R , built from quantum operations an agent holding both the full early radiation R and a further batch of radiation CtC_t collected up to time t can actually perform, whose entanglement fidelity to the identity channel on A is within ϵ\epsilon of perfect, ϵL(t)  =  min⁡R[ 1−Fe(R∘Nt,  id) ],tL(ϵ)  =  min⁡{ t:ϵL(t)≤ϵ }\epsilon_L(t) \;=\; \min_{\mathcal R}\Big[\,1 - F_e\big(\mathcal R \circ \mathcal N_t,\; \mathrm{id}\big)\,\Big], \qquad t_L(\epsilon) \;=\; \min\{\,t : \epsilon_L(t) \le \epsilon\,\}. Nt\mathcal N_t is the…

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