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Equation 7 · Variational Evolution: How Quantum Computers Learn Their Answers

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E(θ)E(\theta)

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EE

Symbol E

a fitness score, evaluated by a fitness oracle that happens to require physical qubits rather than a spreadsheet.

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θ\theta

Symbol θ

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At the most general level, evolutionary computation is defined by a schema older than quantum computing or even electronic computing: blind variation followed by selective retention. A population of candidate solutions is generated, each is scored against a fitness function, and the scores determine which candidates survive, recombine, or get discarded, with the cycle repeating across generations. Read against that schema, the variational loop’s mapping is direct rather than metaphorical in its outline: the parameter vector θ\theta is a genotype; the measured expectation value E(θ\theta) is a fitness score, evaluated by a fitness oracle that happens to require physical qubits rather than a…
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At the most general level, evolutionary computation is defined by a schema older than quantum computing or even electronic computing: blind variation followed by selective retention. A population of candidate solutions is generated, each is scored against a fitness function, and the scores determine which candidates survive, recombine, or get discarded, with the cycle repeating across generations. Read against that schema, the variational loop’s mapping is direct rather than metaphorical in its outline: the parameter vector θ\theta is a genotype; the measured expectation value E(θ\theta) is a fitness score, evaluated by a fitness oracle that happens to require physical qubits rather than a spreadsheet; and the classical update rule is a selection-and-variation operator proposing the next candidate.

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