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PreprintCC BY 4.0arXiv

Quantum Data Ruler

Abstract

A ruler reads an unknown length against a calibrated scale. The quantum data ruler reads a matrix element of an unknown state against the signal of a known reference, from their ratio. It is exact for any Hamiltonian and any time, since transition operators change by a state-dependent constant times one function of time, removing the vanishing-signal limit. The readout is unbiased under dephasing and amplitude damping, and recovers the coherent ergotropy of a quantum battery that two-point measurement erases. The structure survives the classical limit as action--angle Fourier modes.

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BibTeX
@misc{lu2026quantum,
  title = {{Quantum Data Ruler}},
  author = {Wangjun Lu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07827},
  eprint = {2610.07827},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07827},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Data Ruler
AU  - Wangjun Lu
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.07827
UR  - https://arxiv.org/abs/2610.07827
AB  - A ruler reads an unknown length against a calibrated scale. The quantum data ruler reads a matrix element of an unknown state against the signal of a known reference, from their ratio. It is exact for any Hamiltonian and any time, since transition operators change by a state-dependent constant times one function of time, removing the vanishing-signal limit. The readout is unbiased under dephasing and amplitude damping, and recovers the coherent ergotropy of a quantum battery that two-point measurement erases. The structure survives the classical limit as action--angle Fourier modes.
ER  -