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Exploration of the entropic uncertainty relation for a qutrit system under decoherence

机译：破解机下Qutrit系统熵不确定性关系的探讨

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摘要

In this paper, we have performed a detailed investigation of the dynamics of the entropic uncertainty relation for a qutrit with and without a memory system under an amplitude damping channel at finite temperature. We focus mainly on how the temperature affects the entropic uncertainty relation. The results show that the dynamics of the entropic uncertainty exhibits a non-monotonic phenomenon. As r increases (r is usually a function of temperature), the amount of the entropic uncertainty will first increase and then subsequently decrease. Moreover, based on measurement reversal from a weak measurement, we have also investigated the reduction of the entropic uncertainty for a qutrit system under decoherence. It has been found that the measurement reversal technique can always reduce the entropic uncertainty effectively at finite temperature, while the prior weak measurement technique is valid only at a lower temperature but fails at a higher channel temperature. Finally, a phenomenological explanation of our results is also presented.
机译：在本文中，我们已经详细研究了在有限温度下振幅阻尼通道下的Qutrit对Qutrit的熵不确定性关系的动态研究。我们主要专注于温度如何影响熵不确定性关系。结果表明，熵不确定性的动态表现出非单调现象。随着R增加（R通常是温度的函数），熵不确定性的量将首先增加，然后随后减少。此外，根据弱测量的测量逆转，我们还调查了减少破坏后Qutrit系统的熵不确定性的降低。已经发现，测量反转技术总是可以在有限温度下有效地降低熵不确定性，而现有的弱测量技术仅在较低的温度下有效，但在较高的通道温度下失效。最后，还提出了对我们结果的现象学解释。

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