论文标题

修改的量子力学中的有效信息界限

Effective information bounds in modified quantum mechanics

论文作者

Aghababaei, Sarah, Moradpour, Hooman, Wani, Salman Sajad, Marino, Francesco, Shah, Naveed Ahmad, Faizal, Mir

论文摘要

崩溃模型的一个共同特征和远低于普朗克量表的能量的重力量化的预期特征是与普通量子力学行为的偏差。在这里,我们从量子信息理论的角度分析了这种修改的一般后果,并预计将应用于不同的量子系统。我们表明,量子系统对量子速度限制进行了校正,这反过来又意味着对参数估计的Heisenberg限制的修改。我们的结果适用于除普通量子力学以外的各种场景。对于某些受量子重力启发的非局部模型,发现边界会在时间上振荡,这种效果可以在将来的高精度量子实验中进行测试。

A common feature of collapse models and an expected signature of the quantization of gravity at energies well below the Planck scale is the deviation from ordinary quantum-mechanical behavior. Here, we analyze the general consequences of such modifications from the point of view of quantum information theory and we anticipate applications to different quantum systems. We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. Our results hold for a wide class of scenarios beyond ordinary quantum mechanics. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments.

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