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PreprintarXiv licencearXiv

Private Correlations Certify Sensing Capability

  • Yunkai Wang
  • Peixue Wu
  • Graeme Smith
  • Sisi Zhou
Open at sourcePDFDOICite

Abstract

We show that private correlations in a bipartite quantum state constitute a metrological resource for distributed sensing assisted by a possibly noisy channel from one party to the other. We begin with an example with distillable secret key but poor locally accessible sensing performance and show that an assisting channel substantially improves its performance. We then show that any shared state yielding positive private information can serve as a sensing resource after appropriate local coherent processing, and derive a quantitative lower bound on the locally accessible sensing capability after assistance. We further show that classical correlations alone provide no analogous guarantee. Finally, in a channel formulation, we show that a channel with positive private information allows nonzero locally accessible sensitivity when paired with a suitable assisting channel.

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Cite

BibTeXRIS
BibTeX
@misc{wang2026private,
  title = {{Private Correlations Certify Sensing Capability}},
  author = {Yunkai Wang and Peixue Wu and Graeme Smith and Sisi Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.10377},
  eprint = {2608.10377},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.10377},
}
RIS
TY  - UNPB
TI  - Private Correlations Certify Sensing Capability
AU  - Yunkai Wang
AU  - Peixue Wu
AU  - Graeme Smith
AU  - Sisi Zhou
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2608.10377
UR  - https://arxiv.org/abs/2608.10377
AB  - We show that private correlations in a bipartite quantum state constitute a metrological resource for distributed sensing assisted by a possibly noisy channel from one party to the other. We begin with an example with distillable secret key but poor locally accessible sensing performance and show that an assisting channel substantially improves its performance. We then show that any shared state yielding positive private information can serve as a sensing resource after appropriate local coherent processing, and derive a quantitative lower bound on the locally accessible sensing capability after assistance. We further show that classical correlations alone provide no analogous guarantee. Finally, in a channel formulation, we show that a channel with positive private information allows nonzero locally accessible sensitivity when paired with a suitable assisting channel.
ER  -