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Attested & literatureAlgorithmsVariational quantum eigensolver

Measurement-grouped VQE

Commuting Pauli terms are partitioned into compatible bases to reduce distinct measurement circuits.

VQEvariational algorithmmeasurement-grouped vqe

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Commuting Pauli terms are partitioned into compatible bases to reduce distinct measurement circuits. 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:

  • Measure commuting terms together Method

    Takes A preparation routine AA with A0=ψA\lvert 0\rangle = \lvert \psi\rangle, or repeated copies of ρ\rho; a description of OO; a target additive error ε\varepsilon and a confidence 1δ1-\delta. Coherent, controlled access to AA and AA^\dagger is required by some methods here and by none of the sampling-based ones. Returns A scalar estimate with a stated additive-error guarantee, plus the shot or query budget and the maximum circuit depth actually consumed.

How it works

Commuting Pauli terms are partitioned into compatible bases to reduce distinct measurement circuits. 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-measurement-grouping.txt
METHOD: Measurement-grouped VQE
SCOPE: Commuting Pauli terms are partitioned into compatible bases to reduce distinct measurement circuits.

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
Measurement Optimization in the Variational Quantum Eigensolver Using a Minimum Clique Cover2019 · Vladyslav Verteletskyi, Tzu-Ching Yen, Artur F. Izmaylov

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

arxiv.org/abs/1907.03358