Salazar Domingos S P
Unidade de Educação a Distância e Tecnologia, <a href="https://ror.org/02ksmb993">Universidade Federal Rural de Pernambuco</a>, 52171-900 Recife, Pernambuco, Brazil.
Phys Rev E. 2024 Jul;110(1-1):014118. doi: 10.1103/PhysRevE.110.014118.
In quantum thermodynamics, entropy production is usually defined in terms of the quantum relative entropy between two states. We derive a lower bound for the quantum entropy production in terms of the mean and variance of quantum observables, which we refer to as a thermodynamic uncertainty relation (TUR) for the entropy production. In the absence of coherence between the states, our result reproduces classic TURs in stochastic thermodynamics. For the derivation of the TUR, we introduce a lower bound for a quantum generalization of the χ^{2} divergence between two states and discuss its implications for stochastic and quantum thermodynamics, as well as the limiting case where it reproduces the quantum Cramér-Rao inequality.
在量子热力学中，熵产生通常根据两个态之间的量子相对熵来定义。我们根据量子可观测量的均值和方差推导出量子熵产生的一个下界，我们将其称为熵产生的热力学不确定性关系（TUR）。在态之间不存在相干性的情况下，我们的结果重现了随机热力学中的经典TUR。为了推导TUR，我们引入了两个态之间χ²散度的量子推广的一个下界，并讨论了它对随机热力学和量子热力学的影响，以及它重现量子克拉美 - 罗不等式的极限情况。
