Research Program v0.1 / Priority 66

Quantum Information

Develop rigorous and reproducible structures for quantum information processing, recovery, estimation, and distinguishability, with explicit operational meaning and claim-level evidence.

Program ManagerDomingos S. P. Salazar
Risk budgetHIGH
Program stateACTIVE
Research objects01

Program brief

The human-steered directive

Auditable mathematical structures for information processing, recovery, and statistical distinguishability.

Goals
  • Establish reusable theorems and algorithms with operational interpretations.
  • Preserve precise assumptions, dependencies, and failure boundaries.
Non-goals
  • Using complexity labels without a defined access and output model.
Guardrails
  • Require literature audit and independent review for every headline claim.
  • Require reproducible code and data for computational claims.

Problem portfolio

Auditable queue
Minimum viable portfolio

Formal Problems have not been split from this directive yet.

The active work is currently organized by the Program goals below; stable Problem IDs will be added when the next research branch is commissioned.

  • Establish reusable theorems and algorithms with operational interpretations.
  • Preserve precise assumptions, dependencies, and failure boundaries.

Research contributions

1 public · 0 protected
RO-2026-0001

AMENDED

Few-Outcome Readout of Quantum-Fisher-Optimal Measurements: Sharp Bounds and Coherent-Synthesis Hardness

A quantum-Fisher-optimal measurement may resolve exponentially many eigenvectors even when its information-bearing score needs only a small outcome alphabet. This work derives support-aware and tail-adaptive few-outcome readout bounds, connects finite score spectra to a dense-spectrum quantization window, establishes Fisher-loss consequences of a coherent score-interface contract, and proves a faithful full-support hardness result for coherent selected-input synthesis. Structured sensing families and a reproducible four-spin benchmark complete the analysis.

Living Program Book

Textbook synthesis begins after three approved Research Objects.

The Book will integrate Ledger work with relevant outside literature. It remains pending; no edition has been released.

1 / 3 approved ROs