Certified Bounds on the Measurement Cost of Molecular Hamiltonians

arXiv:2607.16866 · quant-ph, physics.chem-ph · Submitted 2026-07-18 · Read on arXiv

quant-ph, physics.chem-ph

Submitted: 2026-07-18

Updated: 2026-10-07

Terminology

• Benchmark — 27× in this paper · explained in 2 episodes
• Verifier — 20× in this paper · explained in 2 episodes
• Core — 8× in this paper · explained in 2 episodes
• Calibration — 7× in this paper · explained in 7 episodes
• Score Function — 3× in this paper · explained in 4 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Department of Energy — 2× in this paper
• Gauge Freedom — 2× in this paper · explained in 2 episodes
• Unified Framework — 2× in this paper · explained in 5 episodes
• Alternation — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 4 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Empirical Coverage — 1× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• National Energy Research Scientific Computing Center — 1× in this paper
• Pruning — 1× in this paper · explained in 4 episodes

Sources

• Reducing quantum measurements in qubit-based overlapping grouping methods for quantum energy estimation through better initializations
• Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance
• Enhanced observable estimation through classical optimization of informationally over-complete measurement data -- beyond classical shadows
• Improving shadow estimation with locally-optimal dual frames
• Unified Framework for Matchgate Classical Shadows

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