通过压缩实现连续信号传感的指数级分离
Exponential separation in sensing continuous signals via squeezing
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中文总结 AI 辅助
本研究证明在连续演化信号传感中，压缩量至少为ω(√log T)的传感器可实现多项式时间传感，而压缩量至多为o(√log T)的传感器需指数时间，从而展现指数级分离。
中文摘要 AI 辅助
量子传感传统上侧重于利用压缩和纠缠等量子资源来提高对固定信号传感的精度。然而，在引力波探测和电磁场传感等许多应用中，信号随时间连续演化并变化。此外，学习者可以自由地在任意时间准备、控制和测量传感器，且可能自适应地选择这些时间。在这项工作中，我们确立了由于可用的压缩，连续演化信号的传感时间存在指数级分离。我们研究的信号以模式大小 $T$ 为特征，并发现具有至少 $\omega(\sqrt{\log T})$ 压缩的传感器提供 $\mathrm{poly}(T)$ 的传感时间，而压缩至多 $o(\sqrt{\log T})$ 的传感器则必须使用指数级（在 $T$ 中）的传感时间。
英文摘要
Quantum sensing traditionally focuses on using quantum resources such as squeezing and entanglement to improve precision for sensing fixed signals. However, in many applications such as gravitational-wave detection and electromagnetic-field sensing, the signal evolves continuously and varies through time. Additionally, the learner is free to prepare, control, and measure the sensor at arbitrary times, possibly chosen adaptively. In this work, we establish exponential separation in sensing time for continuously evolving signals due to the available squeezing. The signals we study are characterized by a pattern size $T$, and we find that a sensor with squeezing at least $ω(\sqrt{\log T})$ offers a $\mathrm{poly}(T)$ sensing time, whereas those with squeezing at most $o(\sqrt{\log T})$ must use an exponential sensing time in $T$.
发表机构
- California Institute of Technology（加州理工学院）
- Oratomic（原子时代）
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