Equation 15 · Part 1 · From Origins to Frontier: A History of Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute
Symbol 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.
Full expression→Symbol varepsilon→Article meaning
The passage around this formula
which decays exponentially in circuit depth for any fixed error rate > 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 borrowed, whether its practitioners framed it this way or not, from the same lesson optical computing learned two decades earlier: work within what the noisy substrate actually does well, rather than against it.
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
- [6] Quantum Algorithm for Linear Systems of Equations ↗
- [8] Quantum Machine Learning ↗
- [7] Quantum Computing in the NISQ Era and Beyond ↗
These citations provide research context; check each source for the exact claim it supports.