开放量子系统的有限频率涨落-响应界
Finite-frequency fluctuation-response bounds for open quantum systems
AI总结：
本文为马尔可夫开放量子系统推导了有限频率涨落-响应不等式，以输出场量子Fisher信息率约束响应-噪声矩阵，并给出耗散与动力学调制的信息率上界，适用于多通道与实正交分量。
摘要：
我们在输入-输出框架下推导了马尔可夫开放量子系统的有限频率涨落-响应不等式。对于发射场的任何下游测量，所测得的锁定响应-噪声矩阵受输出场量子Fisher信息率的约束。对于具有真空输入的耗散幅度调制，该信息率进一步受频率无关的信号通道活动性的约束，对于动力学调制，该活动性简化为稳态通道通量。该结果是面向探测器的，但与解纠缠无关：它适用于选择测量记录之后，而信息上限由量子场在选定任何探测方案或轨迹表示之前设定。我们针对多信号通道和实有限频率正交分量表述了该界，并利用单侧腔、共振荧光和截断的Kerr-参数猫谐振器对其进行了说明。
英文摘要：
We derive a finite-frequency fluctuation-response inequality for Markovian open quantum systems in an input-output setting. For any downstream measurement of the emitted field, the measured lock-in response-to-noise matrix is bounded by the output-field quantum Fisher information rate. For dissipative amplitude modulation with vacuum inputs, this information rate is further bounded by a frequency-independent signal-channel activity, which reduces for kinetic modulation to the stationary channel fluxes. The result is detector-facing but unraveling-independent: it applies after choosing a measurement record, while the information ceiling is set by the quantum field before any detection scheme or trajectory representation is selected. We formulate the bound for multiple signal channels and real finite-frequency quadratures, and illustrate it with a single-sided cavity, resonance fluorescence, and a truncated Kerr-parametric cat resonator.
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