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Shadow Theory

Technical companion

Technical Companion: Approximation and Accounting for Quantum Sources

Approximation, alternate encodings, output-specific bath costs and causal resource accounting.

Jeremy Rodgers · Independent Researcher · 2026-10-27

The complete argument.

Read every section on site, including the mathematics, proofs, examples and references. Each section has its own address for citation and navigation.

  1. 01Orientation and abstract
  2. 02A noisy delayed trine process: exact qutrit realizations
  3. 03Exact finite-record accuracy and a memoryless comparator
  4. 04Finite observable accuracy and an explicit rank test
  5. 05A robust dimension witness for arbitrary four-record approximations
  6. 06Sharp bath approximation costs with and without retained purification
  7. 07Finite-horizon resource accounting: what survives beyond the memory box
  8. 08Retained reference access separates two optimal passive generators
  9. 09Current-status overlay
  10. 10References

Publication and computational material.

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