The canonical hybrid loop: prepare an ansatz, estimate a Hamiltonian expectation, and update parameters classically.
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The canonical hybrid loop: prepare an ansatz, estimate a Hamiltonian expectation, and update parameters classically. This record separates the reusable method idea from any one molecule, Hamiltonian, optimizer, or device.
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.
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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 →
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Takes A Hermitian reachable as a sum of terms, as sparse-access oracles or as a block-encoding; a way to prepare trial states, and — for the methods that need it — a trial state whose overlap with the ground state is not negligible; a target additive error and a confidence . Returns A scalar estimate of the lowest eigenvalue with a stated additive-error guarantee, plus the run or query budget it consumed. Whether that estimate is also a rigorous upper bound is a property of the method and is not promised by the slot.
The canonical hybrid loop: prepare an ansatz, estimate a Hamiltonian expectation, and update parameters classically. 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.
METHOD: VQE objective and optimization loop
SCOPE: The canonical hybrid loop: prepare an ansatz, estimate a Hamiltonian expectation, and update parameters classically.
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.
Compare Variational quantum eigensolver with the strongest classical method for the same instance, input budget, and output metric.
This reference exposes a quantum circuit pattern; it does not imply an application-level speedup without a matched benchmark.
Report input loading, circuit depth, repetitions, classical preprocessing, post-processing, and wall-clock time together.
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Primary or survey context for VQE objective and optimization loop; consult the paper for assumptions and implementation details.
arxiv.org/abs/1304.3061 ↗