research
One Fixed Circuit Replaced Exponentially Many Measurement Settings
A shallow analyzer turns Born outcomes into reusable classical-shadow labels while retaining the minimum number of outcomes for complete reconstruction.
Summary
A shallow analyzer turns Born outcomes into reusable classical-shadow labels while retaining the minimum number of outcomes for complete reconstruction.
Classical shadows usually randomize among measurement settings, adding control and calibration overhead beyond circuit depth. This construction couples the unknown n-qubit system to a freshly prepared n-qubit fiducial register and performs parallel Bell readout. One fixed setting then replaces the 3-to-the-n local-Pauli settings used for complete reconstruction while retaining d-squared outcomes for d equals 2 to the n. The fiducial preparation uses n minus one arbitrary two-qubit gates and logarithmic depth with all-to-all connectivity; the unknown system sees one parallel entangling layer. The result is theoretical trade-off analysis, not a demonstration on a specific quantum processor.
Why it matters
A shallow analyzer turns Born outcomes into reusable classical-shadow labels while retaining the minimum number of outcomes for complete reconstruction.
Limits and context
- The result is theoretical trade-off analysis, not a demonstration on a specific quantum processor.
Key claims
A shallow analyzer turns Born outcomes into reusable classical-shadow labels while retaining the minimum number of outcomes for complete reconstruction.
Qualification: The result is theoretical trade-off analysis, not a demonstration on a specific quantum processor.
Evidence: source-2026-09-09-013
Sources
- arXiv preprint 2609.07032arXiv · primary research
Corrections
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