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PreprintCC BY 4.0arXiv

Feedback-Enhanced Quantum Metrology and Clock Precision under Thermodynamic Uncertainty

  • Jincheng Lu
  • Chen Wang
Open at sourcePDFDOICite

Abstract

Feedback can convert continuously monitored quantum jumps into a thermodynamic resource. We formulate full counting statistics for open quantum systems under unital jump feedback by incorporating the feedback maps into the tilted generator. The resulting trajectory ensemble determines both current fluctuations and the Fisher information of the measurement record. We show that feedback can enhance reservoir-parameter estimation and clock precision without necessarily changing average thermodynamic currents. This enhanced precision is not bounded by reservoir entropy production alone. By embedding the reduced dynamics in an enlarged measurement-feedback process, we derive a feedback-modified thermodynamic uncertainty relation in which the information entropy production of the feedback apparatus supplies the missing cost. A charge-monitored double quantum dot illustrates the framework: jump-conditioned feedback improves thermometry and chemical-potential sensing, and stabilizes a quantum clock defined by output-current ticks.

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Cite

BibTeXRIS
BibTeX
@misc{lu2026feedbackenhanced,
  title = {{Feedback-Enhanced Quantum Metrology and Clock Precision under Thermodynamic Uncertainty}},
  author = {Jincheng Lu and Chen Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00622},
  eprint = {2609.00622},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00622},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Feedback-Enhanced Quantum Metrology and Clock Precision under Thermodynamic Uncertainty
AU  - Jincheng Lu
AU  - Chen Wang
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00622
UR  - https://arxiv.org/abs/2609.00622
AB  - Feedback can convert continuously monitored quantum jumps into a thermodynamic resource. We formulate full counting statistics for open quantum systems under unital jump feedback by incorporating the feedback maps into the tilted generator. The resulting trajectory ensemble determines both current fluctuations and the Fisher information of the measurement record. We show that feedback can enhance reservoir-parameter estimation and clock precision without necessarily changing average thermodynamic currents. This enhanced precision is not bounded by reservoir entropy production alone. By embedding the reduced dynamics in an enlarged measurement-feedback process, we derive a feedback-modified thermodynamic uncertainty relation in which the information entropy production of the feedback apparatus supplies the missing cost. A charge-monitored double quantum dot illustrates the framework: jump-conditioned feedback improves thermometry and chemical-potential sensing, and stabilizes a quantum clock defined by output-current ticks.
ER  -