Error mitigation for short-depth quantum circuits2016 · Kristan Temme, Sergey Bravyi, Jay M. Gambetta
Primary or survey context for Zero-noise-extrapolated VQE; consult the paper for assumptions and implementation details.
arxiv.org/abs/1612.02058 ↗Attested & literatureAlgorithmsVariational quantum eigensolver
Zero-noise-extrapolated VQE
Energy estimates at amplified noise levels are extrapolated toward an inferred zero-noise limit.
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Energy estimates at amplified noise levels are extrapolated toward an inferred zero-noise limit. This record separates the reusable method idea from any one molecule, Hamiltonian, optimizer, or device.
Circuit & simulation
hybrid objective
measure Hupdate θ
quantum circuit
preparemeasure H
classical update
update θ
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:
- Zero-noise extrapolation (ZNE) Method
Takes A circuit, a target observable, a noisy device, a shot budget, and — for the model-based methods — a learned characterization of the device noise. Returns A bias-reduced expectation-value estimate, with a variance — equivalently a sampling overhead — that grows with circuit volume.
How it works
Energy estimates at amplified noise levels are extrapolated toward an inferred zero-noise limit. 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-zero-noise-extrapolation.txt
METHOD: Zero-noise-extrapolated VQE
SCOPE: Energy estimates at amplified noise levels are extrapolated toward an inferred zero-noise limit.
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.