Maxwell Demon from a Quantum Bayesian Networks Perspective
arXiv:1301.1284
Abstract
We propose a new inequality that we call the conditional ageing inequality (CAIN). The CAIN is a slight generalization to non-equilibrium situations of the Second Law of thermodynamics. The goal of this paper is to study the consequences of the CAIN. We use the CAIN to discuss Maxwell demon processes (i.e., thermodynamic processes with feedback.) In particular, we apply the CAIN to four cases of the Szilard engine: for a classical or a quantum system with either one or two correlated particles. Besides proposing this new inequality that we call the CAIN, another novel feature of this paper is that we use quantum Bayesian networks for our analysis of Maxwell demon processes.
30 pages (6 files: 1 .tex, 2 .sty, 3 .eps)
References in corpus (9)
- Information heat engine: converting information to energy by feedback control
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
- Nonequilibrium Thermodynamics of Feedback Control
- Thermodynamic Work Gain from Entanglement
- An Introduction to Quantum Bayesian Networks for Mixed States
- Some Quantum Information Inequalities from a Quantum Bayesian Networks Perspective
- Counterexamples to the Theory of Thermodynamics With Feedback Proposed By Sagawa and Ueda