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PreprintarXiv licencearXiv

Reconstructing hidden observables via quantum snapshot thermometry

  • Jie Ren
  • Andrew Hallam
  • Luheng Zhao
  • Huanqian Loh
  • Zlatko Papić
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Abstract

Projective snapshots are a standard readout tool for quantum simulators, but they directly probe only observables that are diagonal in the measurement basis. We show how local equilibration and an independently calibrated equilibrium equation of state can reveal otherwise hidden conserved-density profiles. We demonstrate numerically that such ``quantum snapshot thermometry'' can recover energy fronts and a diffusion constant, distinguish spin transport from energy spreading, and reveal conserved-charge profiles invisible in the initial measurements. We also identify symmetry-imposed ambiguities in the readout and show how prior knowledge of the spatial structure can resolve them. Fixed-basis snapshot thermometry thus provides quantitative hydrodynamic information beyond transport exponents, bypassing additional measurement bases and quantum state tomography.

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Cite

BibTeXRIS
BibTeX
@misc{ren2026reconstructing,
  title = {{Reconstructing hidden observables via quantum snapshot thermometry}},
  author = {Jie Ren and Andrew Hallam and Luheng Zhao and Huanqian Loh and Zlatko Papić},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40652},
  eprint = {2610.40652},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40652},
}
RIS
TY  - UNPB
TI  - Reconstructing hidden observables via quantum snapshot thermometry
AU  - Jie Ren
AU  - Andrew Hallam
AU  - Luheng Zhao
AU  - Huanqian Loh
AU  - Zlatko Papić
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40652
UR  - https://arxiv.org/abs/2610.40652
AB  - Projective snapshots are a standard readout tool for quantum simulators, but they directly probe only observables that are diagonal in the measurement basis. We show how local equilibration and an independently calibrated equilibrium equation of state can reveal otherwise hidden conserved-density profiles. We demonstrate numerically that such ``quantum snapshot thermometry'' can recover energy fronts and a diffusion constant, distinguish spin transport from energy spreading, and reveal conserved-charge profiles invisible in the initial measurements. We also identify symmetry-imposed ambiguities in the readout and show how prior knowledge of the spatial structure can resolve them. Fixed-basis snapshot thermometry thus provides quantitative hydrodynamic information beyond transport exponents, bypassing additional measurement bases and quantum state tomography.
ER  -