← All parts of this equation

Equation 14 · Part 2 · From Origins to Frontier: A History of Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute

Symbol varepsilon

Fcircuit≈(1−ε)N,F_{\text{circuit}} \approx (1-\varepsilon)^N,
ε\varepsilon

What this part means

varepsilon is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

varepsilon is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…fidelity 1-ε\varepsilon , and errors accumulate independently, the probability the whole circuit runs without error falls off as Fcircuit≈(1−ε)NF_{\text{circuit}} \approx (1-\varepsilon)^N. which decays exponentially in circuit depth for any fixed error rate ε\varepsilon > 0 . This is precisely the noise floor Preskill’s paper is about, and it is why serious NISQ-era quantum machine learning proposals are built around short, shallow circuits matched to a specific problem rather than long, general-purpose programs — the strategy quantum computing…

Read this part in the article →

Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

Open the illustrated variables: a letter stands for a value 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.