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Equation 4 · Comparing the Main Approaches to Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute

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Eop=Ecore+Eperiphery+EI/O,E_{\text{op}} = E_{\text{core}} + E_{\text{periphery}} + E_{\text{I/O}},

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Inputs and operationsE_core + E_periphery + E_I/O
Result or conditionE_op
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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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EopE_{\text{op}}

Symbol E_op

EoE_op is part of the quantity the equation computes from the expression on the right.

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EcoreE_{\text{core}}

Symbol E_core

EcE_core is one of the signed contributions combined to compute the quantity on the left.

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EperipheryE_{\text{periphery}}

Symbol E_periphery

EpE_periphery is one of the signed contributions combined to compute the quantity on the left.

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EI/OE_{\text{I/O}}

Symbol E_I/O

the data-converter, laser-and-detector, cryogenic, or spike-routing overhead surrounding it.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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addition

addition

Add the term after the plus sign to the term or group before it.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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How to interpret it

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What the article says around this equation

The physical limitation keeping analog in-memory compute confined to inference on weights that rarely change is the flip side of its core trick: a conductance that can be read out to represent a weight can also drift over time, and writing a new one wears the device in a way reading does not, so retraining costs more, in time and device lifetime, than in a design where weights sit in ordinary digital memory. A simple accounting for why raw operations-per-watt numbers are not directly comparable across any of the four approaches in this piece is worth writing out once: Eop=Ecore+Eperiphery+EI/OE_{\text{op}} = E_{\text{core}} + E_{\text{periphery}} + E_{\text{I/O}}. where EcoreE_{\text{core}} is the energy of the operation itself — the multiply-accumulate, the interference…
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The physical limitation keeping analog in-memory compute confined to inference on weights that rarely change is the flip side of its core trick: a conductance that can be read out to represent a weight can also drift over time, and writing a new one wears the device in a way reading does not, so retraining costs more, in time and device lifetime, than in a design where weights sit in ordinary digital memory. A simple accounting for why raw operations-per-watt numbers are not directly comparable across any of the four approaches in this piece is worth writing out once: Eop=Ecore+Eperiphery+EI/OE_{\text{op}} = E_{\text{core}} + E_{\text{periphery}} + E_{\text{I/O}}. where EcoreE_{\text{core}} is the energy of the operation itself — the multiply-accumulate, the interference pattern, the qubit gate — and EperipheryE_{\text{periphery}} and EI/OE_{\text{I/O}} are the data-converter, laser-and-detector, cryogenic, or spike-routing overhead surrounding it. A headline figure reporting only EcoreE_{\text{core}} , which vendor materials frequently do, looks dramatically better than one reporting the whole sum, and each approach hides a different fraction of its true cost: analog crossbars in EperipheryE_{\text{periphery}} 's data converters, photonics in EI/OE_{\text{I/O}} 's laser budget, quantum processors in EperipheryE_{\text{periphery}} 's dilution-refrigerator overhead. A single tera-operations-per-watt figure without knowing which terms it includes is close to meaningless, and comparing two such figures from two vendors compounds the problem.

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