量子退火中熵产生的改进界
Improved bound on entropy production in a quantum annealer
摘要:
对于一个服从涨落定理的多变量概率密度函数所描述的系统,平均耗散的下界是由边缘分布的不对称程度(即边缘和它的镜像之间的相对熵)决定的。我们正式证明了这样的下限比最近报道的以边缘精度表示的界限更紧(即,热力学不确定性关系)并且是饱和的。我们举例说明的结果,我们应用它来实现最准确的实验估计与量子退火的耗散。
英文摘要:
For a system described by a multivariate probability density function obeying the fluctuation theorem, the average dissipation is lower-bounded by the degree of asymmetry of the marginal distributions (namely the relative entropy between the marginal and its mirror image). We formally prove that such lower bound is tighter than the recently reported bound expressed in terms of the precision of the marginal (i.e., the thermodynamic uncertainty relation) and is saturable. We illustrate the result with examples and we apply it to achieve the most accurate experimental estimation of dissipation associated to quantum annealing to date.
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