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Attested & literatureAlgorithmsVariational quantum eigensolver

SPSA-optimized VQE

Simultaneous perturbation estimates a stochastic gradient with two objective evaluations per iteration.

VQEvariational algorithmspsa-optimized vqe

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Simultaneous perturbation estimates a stochastic gradient with two objective evaluations per iteration. This record separates the reusable method idea from any one molecule, Hamiltonian, optimizer, or device.

Circuit & simulation
What this takes and returns
TakesNothingWhat joins here

No input port at this edge: the record publishes no gate sequence and no register, so there is nothing here to read one off — and unlike a declared hole, nothing has been recorded about what belongs here.

Nothing in the Atlas meets this end.

ReturnsNothingWhat joins here

No output port at this edge: the record publishes no gate sequence and no register, so there is nothing here to read one off — and unlike a declared hole, nothing has been recorded about what belongs here.

Nothing in the Atlas meets this end.

This record publishes no gate sequence and no register, so there is nothing here to read an interface off. Absent rather than empty. See all 152 →

Where this sits

This record is named by the layer graph at:

  • Simultaneous-perturbation optimization Method

    Takes A parameterised circuit family; an objective function of its parameters, evaluated only through estimates bought with a finite shot budget; a starting point; and a stopping rule — a tolerance, an iteration cap, or an exhausted budget. Returns A preparation routine for the state at the parameters the search stopped at, and the total number of objective evaluations it consumed. The routine is returned whether or not the search found a minimum; that it stopped is not evidence that it converged.

How it works

Simultaneous perturbation estimates a stochastic gradient with two objective evaluations per iteration. In a complete experiment, the method must be paired with a defined qubit Hamiltonian, reference state, parameterized circuit, measurement grouping, classical optimizer, stopping rule, and error analysis. The catalog therefore treats it as a literature-backed algorithm record rather than pretending that one generic snippet is the paper's implementation. Use the cited source to recover assumptions and compare energy error, variance, circuit resources, measurement cost, optimizer evaluations, and robustness under the same instance and budget.

Implementation
Unsupported
vqe-spsa-optimizer.txt
METHOD: SPSA-optimized VQE
SCOPE: Simultaneous perturbation estimates a stochastic gradient with two objective evaluations per iteration.

This is a literature method record, not a fixed circuit.
Supply: Hamiltonian, reference state, ansatz, optimizer, measurement plan, and stopping rule.

A reference record, not runnable source. Leona cannot execute it, so it cannot be saved to your Library as a circuit.

Quantum vs classical

Classical baseline

Compare Variational quantum eigensolver with the strongest classical method for the same instance, input budget, and output metric.

Quantum claim

This reference exposes a quantum circuit pattern; it does not imply an application-level speedup without a matched benchmark.

How to compare

Report input loading, circuit depth, repetitions, classical preprocessing, post-processing, and wall-clock time together.

Declared gaps

Nobody has reviewed this record for gaps yet.

Literature & references
Multivariate stochastic approximation using a simultaneous perturbation gradient approximation1992 · J. C. Spall

Primary or survey context for SPSA-optimized VQE; consult the paper for assumptions and implementation details.

doi.org/10.1109/9.119632