Low-Resource Quantum Energy Gap Estimation via Randomization

arXiv:2601.13881 · quant-ph · Submitted 2026-01-20 · Read on arXiv

quant-ph

Submitted: 2026-01-20

Updated: 2026-10-16

Comments: 19 pages, 8 figures

Code: https://github.com/hugopgs/TE-PAI_shadow_spectroscopy

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Quantum Physics — 1× in this paper · explained in 12 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Myths around quantum computation before full fault tolerance: What no-go theorems rule out and what they don't
• The Grand Challenge of Quantum Applications
• Quantum measurements and the Abelian Stabilizer Problem
• STAR-Magic Mutation: Even More Efficient Analog Rotation Gates for Early Fault-Tolerant Quantum Computer
• Constructing a virtual two-qubit gate by sampling single-qubit operations
• Structure-Aware Variance Reduction for Unbiased Randomized Hamiltonian Simulation

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