Optimal work extraction and the minimum description length principle
Optimal work extraction and the minimum description length principle
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最优工作提取和最小描述长度原则
DOI：
10.1088/1742-5468/abacb3
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
É. Roldán
中科院分区：
文献类型：
--
作者：
Léo Touzo;M. Marsili;N. Merhav;É. Roldán
我们讨论了从具有N粒子、Q划分和初始任意非平衡态的经典信息引擎(例如SziláRD)中提取功。特别是，我们关注他们的最优行为，其中包括使用反馈协议测量一组量Φ，该反馈协议提取最大平均工作量。我们证明了发动机在测量之前应该被驱动到的最优非平衡状态是由一个统计模型的归一化最大似然概率分布给出的，该统计模型承认Φ是足够的统计量。此外，我们证明了与该模型相关的极小极大泛码冗余度R⋆提供了恶魔可以从循环中平均提取的功的上界，单位为KBT。我们还发现，在N大的极限下，最大平均提取功不能超过H[Φ]/2，即测量的香农熵的一半。我们的结果建立了随机热力学中的最优功提取和最优通用数据压缩之间的联系，为最优信息引擎提供了设计原则。特别是，他们提出：(I)最佳编码在热力学上是有效的，以及(Ii)为了实现最佳性能，将系统驱动到临界状态是必不可少的。
We discuss work extraction from classical information engines (e.g., Szilárd) with N-particles, q partitions, and initial arbitrary non-equilibrium states. In particular, we focus on their optimal behaviour, which includes the measurement of a set of quantities Φ with a feedback protocol that extracts the maximal average amount of work. We show that the optimal non-equilibrium state to which the engine should be driven before the measurement is given by the normalised maximum-likelihood probability distribution of a statistical model that admits Φ as sufficient statistics. Furthermore, we show that the minimax universal code redundancy R⋆ associated to this model, provides an upper bound to the work that the demon can extract on average from the cycle, in units of kBT. We also find that, in the limit of N large, the maximum average extracted work cannot exceed H[Φ]/2, i.e. one half times the Shannon entropy of the measurement. Our results establish a connection between optimal work extraction in stochastic thermodynamics and optimal universal data compression, providing design principles for optimal information engines. In particular, they suggest that: (i) optimal coding is thermodynamically efficient, and (ii) it is essential to drive the system into a critical state in order to achieve optimal performance.
影响因子：
64.8
作者：
Berut, Antoine;Arakelyan, Artak;Lutz, Eric
通讯作者：
Lutz, Eric
影响因子：
12.5
作者：
Frishman, Anna;Ronceray, Pierre
通讯作者：
Ronceray, Pierre