结构化量子电路的低维记录的补全或弃权：测量损失、压缩损失与硬件漂移
Completing or Refusing Low-Dimensional Records of Structured Quantum Circuits: Measurement Loss, Compression Loss, and Hardware Drift
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中文总结 AI 辅助
该研究针对结构化量子电路低维记录的损失问题，提出补全或弃权方法，结合量子费舍尔信息等理论，通过IBM和IQM设备实验验证了方法可有效检测电路损失，减少校准 shots。
中文摘要 AI 辅助
结构化量子电路通常由低维记录来概括。当记录合并那些对电路参数响应不同的结果时，会丢失与控制相关的信息。我们在不使用参数化硬件噪声模型或低维统计族的情况下评估这种损失。量子费舍尔信息界描述了测量前的灵敏度；测量和记录的费舍尔度量则描述了设备可达到的灵敏度。赫尔利格残差衡量了记录去除的响应，其局部二次项是全结果得分的条件协方差。同时置信界支持批准、弃权（不执行）或推迟决策。我们证明了有限库补全定理：可执行的增广操作会终止于要么保留所有声明响应的记录，要么证明不存在库增广可消除该损失。对于解析控制芽，积分闭包刻画了沿每条解析控制弧的保留情况，有限个Rees赋值可检测失败。这种“状态-测量-记录”链将全弧准则与可执行的补全或弃权、可达费舍尔局部核准则以及有限样本决策联系起来。一项三量子比特计算将测量损失与记录损失分离。在IBM的Kingston和Marrakesh设备上开展的实验测试了固定粒子数和GHZ族中的决策，包括阴性对照。端到端的Kingston实验在满足两个保留目标的预先规定的非劣性准则的同时，减少了33.3%的校准 shots。在两阶段IQM Garnet数据中，记录级漂移的中位数是全分布漂移的0.0797倍，但在36个设置中的35个仍存在显著残差。这些实验验证了所测试电路的失败检测能力；它们未确立通用压缩性能或设备量子费舍尔信息。
英文摘要
Structured quantum circuits are often represented by low-dimensional records such as occupation numbers or constraint feasibility rather than by full outcome distributions. A record loses control-dependent information when it merges outcomes whose probabilities respond differently to circuit parameters. We assess this loss without assuming a parametric hardware-noise model. Quantum Fisher information bounds premeasurement sensitivity; Fisher metrics of measurements and recorded statistics describe device-attainable sensitivity. For finite control changes, a Hellinger residual measures the response removed by a record, while its local quadratic term is the conditional covariance of the full-outcome score. Simultaneous confidence bounds support approval, refusal, or deferral. We prove a finite-library completion theorem: executable augmentations terminate either with a record preserving every declared response or with proof that no library augmentation removes the loss. For an analytic control germ, integral closures characterize preservation along every analytic control arc, and finitely many Rees valuations detect failure. This connects the state--measurement--record chain to an executable completion-or-refusal procedure, an attainable-Fisher kernel criterion, and finite-sample decisions. A three-qubit calculation separates measurement loss from record loss. Prospectively fixed IBM Kingston and Marrakesh experiments test decisions in four-qubit fixed-particle-number and GHZ families, including negative controls. In two-epoch IQM Garnet data, median record-level drift is 0.0797 times full-distribution drift, but a significant residual remains in 35 of 36 settings. On these circuits, the rules detect loss and approve records only within stated tolerances; they do not establish universal compression performance or device quantum Fisher information.
发表机构
- Texas State University（德克萨斯州立大学）
- SDT Inc.（SDT公司）
机构由 AI 辅助整理，请以论文原文为准。
