Overlap penalties against previously found states turn excited-state search into a sequence of VQE objectives.
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Overlap penalties against previously found states turn excited-state search into a sequence of VQE objectives. 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 H reachable as a sum of terms that can be measured separately; a statement of which state is wanted — an index k, a symmetry sector, or a target energy to sit nearest; for most of the methods here, the ground state already solved, and for the deflation route every lower state as well; a target additive error and a shot budget. Returns A scalar estimate — of that eigenvalue, or of the gap between it and the ground state — together with the run budget it consumed. Some methods return a whole low-energy subspace at once and others return one state per run, and that difference is a cost, not a convenience.
Overlap penalties against previously found states turn excited-state search into a sequence of VQE objectives. 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: Variational quantum deflation
SCOPE: Overlap penalties against previously found states turn excited-state search into a sequence of VQE objectives.
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.
Nobody has reviewed this record for gaps yet.
Primary or survey context for Variational quantum deflation; consult the paper for assumptions and implementation details.
arxiv.org/abs/1805.08138 ↗