近日，阿拉伯联合酋长国沙迦大学的Abdul Basit及其研究小组与浙江师范大学的高先龙等人合作并取得一项新进展。经过不懈努力，他们揭示了控制熵不确定非平衡与非马尔可夫性之间的相互作用。相关研究成果已于2024年7月9日在国际知名学术期刊《物理评论A》上发表。

该研究团队从理论上研究了局部非平衡失相环境和一般非平衡失相环境下，量子存储辅助二体系统熵不确定性关系的动力学行为。特别地，研究人员研究了在弱耦合和强耦合情况下，非平衡态和非马尔可夫性之间的竞争对控制熵不确定界（(EUB)的影响。研究人员发现，在两种情境下，无需对主系统施加任何干预，非平衡性质提供了一个有希望的协议来有效地利用EUB。

此外，他们发现，与局部浴的情况相比，普遍浴的EUB可以显著减少。此外，他们通过研究量子失谐与待测粒子的最小缺失信息之间的相互作用，阐明了控制EUB动力学行为的主要因素。此外，他们还研究了弱耦合和强耦合环境下的状态制备和测量选择(SPMC)条件。值得注意的是，他们表明在常见的环境场景中，SPMC条件并不总是成立。

据悉，熵不确定性关系限制了两个共轭观测值测量结果的精度，在量子存储的存在下可以降低测量结果的精度。

附：英文原文

Title: Interplay between nonequilibrium and non-Markovianity in controlling the entropic uncertainty bound

Author: Abdul Basit, Hamad Ali, Gao Xianlong, Peng-Bo Li, Gehad Sadiek, Hichem Eleuch

Issue&Volume: 2024/07/09

Abstract: The entropic uncertainty relation imposes a limit on the accuracy of measurement outcomes of two conjugate observables, which can be reduced in the presence of quantum memory. We theoretically study the dynamical behaviors of the quantum-memory-assisted entropic uncertainty relation for a bipartite system under local nonequilibrium dephasing environments and a common nonequilibrium dephasing environment. Particularly, we study the influence of the competition between nonequilibrium and non-Markovianity in controlling the entropic uncertainty bound (EUB) in weak- and strong-coupling regimes. We find that the nonequilibrium nature renders a promising protocol to efficiently harness the EUB in both regimes without requiring any operations on the main system. Further, we reveal that the EUB can be significantly reduced in a common bath case compared to the case of local baths. Moreover, we elucidate the primary factor responsible for governing the dynamical behaviors of EUB by examining the interplay between quantum discord and the minimal missing information about the particle to be measured. In addition, we investigate the state preparation and measurement choice (SPMC) condition in both environmental setups with weak- and strong-coupling regimes. Remarkably, we show that the SPMC condition does not hold in the common environment scenario.

DOI: 10.1103/PhysRevA.110.012429

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.110.012429