论文标题

间接测量的不确定性关系

Uncertainty relation for indirect measurement

论文作者

Mihashi, Ryo, Hasegawa, Yoshihiko

论文摘要

间接测量可用于读取量子系统的结果,而无需求助于直接的方法,而测量不确定性关系的基础解释了可观察结果的不相容性。尽管已经确定了用于量子测量的准确性的测量不确定性,但正在研究热力学不确定性,这是对波动可观察到的准确性的新观点,即在经典或量子状态下进行物理成本进行交易。遵循这些想法,根据量子热力学,我们得出了关于间接测量的新测量不确定性。获得的结果显示了生存活性之间的相互关系,这是对热力学系统的疯狂贡献,而由于测量方法而引起的噪声。此外,这种不确定性也会通过普遍的噪声触及关系影响不兼容的对应物的干扰。

Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach, and it is the foundation of the measurement uncertainty relations that explain the incompatibility of conjugate observables. While measurement uncertainty has been established for the accuracy of quantum measurement, thermodynamic uncertainty is being researched as a new perspective on the accuracy of fluctuating observables that trades off a physical cost in the classical or quantum regime. Following these ideas, we derive a new measurement uncertainty with respect to indirect measurement in the light of quantum thermodynamics. The obtained result shows a reciprocal relation between a survival activity, which is a frenetic contribution to the thermodynamic system, and noise due to the measurement approach. Moreover, this uncertainty can also affect the disturbance of an incompatible counterpart through the universal noise-disturbance relation.

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