Symbol F_circuit
ircuit is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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The reason NISQ-era hardware imposes such a hard ceiling on quantum machine learning specifically is a simple compounding effect. If a device executes a circuit of N sequential gates, each with per-gate fidelity 1- , and errors accumulate independently, the probability the whole circuit runs without error falls off as . 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…
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Symbol varepsilon
varepsilon is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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N is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Its accuracy depends on the assumptions and range of use described in the article.
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Equation 14 · Future Hardware
From Origins to Frontier: A History of Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute
This equation gives an approximation: it relates the quantities while allowing an approximation.
The reason NISQ-era hardware imposes such a hard ceiling on quantum machine learning specifically is a simple compounding effect. If a device executes a circuit of N sequential gates, each with per-gate fidelity 1- , and errors accumulate independently, the probability the whole circuit runs without error falls off as . 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…
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