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PreprintarXiv licencearXiv

Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring

  • Haitao Huang
  • Qinglin Zhao
  • Xiaoyu Li
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Abstract

Different measurements of the same environment can preserve the average quantum channel yet change the feedback strength needed to prepare a state ensemble. We establish this distinction for a multiqubit register under complete Pauli monitoring, targeting the uniform ensemble of real-amplitude pure states. With unit detection efficiency, public records, and bounded Hamiltonian feedback, fixed transverse noise requires a minimum peak strength proportional to ε−1 at distributional error ε. Tangent noise instead admits a construction requiring only O[√(log(1/ε))]. At fixed preparation time, we determine the optimum over all allowed feedback policies and derive a geometric lower bound beyond radial symmetry. The separation identifies the measurement realization as part of the control-resource specification for monitored ensemble preparation.

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Cite

BibTeXRIS
BibTeX
@misc{huang2026distinct,
  title = {{Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring}},
  author = {Haitao Huang and Qinglin Zhao and Xiaoyu Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31221},
  eprint = {2609.31221},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31221},
}
RIS
TY  - UNPB
TI  - Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring
AU  - Haitao Huang
AU  - Qinglin Zhao
AU  - Xiaoyu Li
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31221
UR  - https://arxiv.org/abs/2609.31221
AB  - Different measurements of the same environment can preserve the average quantum channel yet change the feedback strength needed to prepare a state ensemble. We establish this distinction for a multiqubit register under complete Pauli monitoring, targeting the uniform ensemble of real-amplitude pure states. With unit detection efficiency, public records, and bounded Hamiltonian feedback, fixed transverse noise requires a minimum peak strength proportional to ε^−1 at distributional error ε. Tangent noise instead admits a construction requiring only O[√(log(1/ε))]. At fixed preparation time, we determine the optimum over all allowed feedback policies and derive a geometric lower bound beyond radial symmetry. The separation identifies the measurement realization as part of the control-resource specification for monitored ensemble preparation.
ER  -