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PreprintarXiv licencearXiv

Residual Fisher Information in Measurement-Error Uncertainty

  • Masayuki Ohzeki
  • Taiga Suzuki
Open at sourcePDFDOICite

Abstract

Measurement error in the Watanabe-Sagawa-Ueda formulation is the excess estimation error of a classical record over the quantum statistical limit. We show that, at the quantum-instrument level, this excess has an exact decomposition. The record-only error matrix equals a residual-aware error matrix plus a positive Schur-complement term fixed by Fisher information left in the unread post-measurement system. Thus measurement error separates into intrinsic instrument loss and record-restriction loss

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Cite

BibTeXRIS
BibTeX
@misc{ohzeki2026residual,
  title = {{Residual Fisher Information in Measurement-Error Uncertainty}},
  author = {Masayuki Ohzeki and Taiga Suzuki},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31311},
  eprint = {2609.31311},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31311},
}
RIS
TY  - UNPB
TI  - Residual Fisher Information in Measurement-Error Uncertainty
AU  - Masayuki Ohzeki
AU  - Taiga Suzuki
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.31311
UR  - https://arxiv.org/abs/2609.31311
AB  - Measurement error in the Watanabe-Sagawa-Ueda formulation is the excess estimation error of a classical record over the quantum statistical limit. We show that, at the quantum-instrument level, this excess has an exact decomposition. The record-only error matrix equals a residual-aware error matrix plus a positive Schur-complement term fixed by Fisher information left in the unread post-measurement system. Thus measurement error separates into intrinsic instrument loss and record-restriction loss
ER  -