← All parts of this equation

Equation 23 · Part 5 · The Bit Comes Back Before the Bearing

Symbol N_t

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\,\}.
NtN_t

What this part means

the effective channel from A to R\!

Its job in the formula

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

Where the article explains it

Nt\mathcal N_t is the effective channel from A to R\!

The passage around this formula

…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 effective channel from A to R\!∪\cup\!CtC_t induced by the hole’s own scrambling dynamics up to time t ; ϵL(t)\epsilon_L(t) is a dimensionless number in [0,1] , and tLt_L has units of time. This is a yes-or-no-shaped promise sharpened into a number: either a decoder within ϵ\epsilon of perfect…

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.