Entropy Production from Maximum Entropy Principle: a Unifying Approach
- URL: http://arxiv.org/abs/2401.09936v3
- Date: Fri, 23 Aug 2024 12:20:05 GMT
- Title: Entropy Production from Maximum Entropy Principle: a Unifying Approach
- Authors: Adalberto D. Varizi, Pedro S. Correia,
- Abstract summary: Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics.
We use Jaynes' maximum entropy principle to establish a framework that brings together prominent and apparently conflicting definitions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics. Yet, a ubiquitous definition eludes consensus. Given that entropy production arises from incomplete access to information, in this Letter we use Jaynes' maximum entropy principle to establish a framework that brings together prominent and apparently conflicting definitions. More generally our definition of entropy production addresses any tomographically incomplete quantum measurement and/or the action of a quantum channel on a system.
Related papers
- Evidence of genuine quantum effects in nonequilibrium entropy production [0.981589350745691]
We experimentally demonstrate the division of entropy production of an open quantum system into a population-related component and a coherence-related component.
Our experiment ultimately proves that irreversibility at the quantum level can be reduced through properly harnessing the two contributions to entropy production.
arXiv Detail & Related papers (2024-02-10T01:41:01Z) - Testing the Quantum of Entropy [0.0]
It is clarified when it is possible to speak about a quantum of entropy, given by the Boltzmann constant k, and about a lower entropy limit $S geq k ln 2$.
arXiv Detail & Related papers (2023-07-19T11:34:54Z) - Non-Abelian transport distinguishes three usually equivalent notions of entropy production [0.0]
We extend entropy production to a deeply quantum regime involving noncommuting quantities.
We quantify different physical effects of charges' noncommutation on entropy production.
This work opens up thermodynamics to noncommuting - and so particularly quantum - charges.
arXiv Detail & Related papers (2023-05-24T18:02:26Z) - Multiple entropy production for multitime quantum processes [2.492884361833709]
We study the multiple entropy production for multitime quantum processes in a unified framework.
For closed quantum systems and Markovian open quantum systems, the given entropy productions all satisfy the detailed fluctuation relation.
arXiv Detail & Related papers (2023-05-06T07:43:03Z) - On Quantum Entropy and Excess Entropy Production in a System-Environment
Pure State [0.0]
We explore a recently introduced quantum thermodynamic entropy $SQ_univ$ of a pure state of a composite system-environment computational "universe"
The principal focus is "excess entropy production" in which the quantum entropy change is greater than expected from the classical entropy-free energy relationship.
arXiv Detail & Related papers (2022-11-25T14:57:44Z) - Maximum entropy quantum state distributions [58.720142291102135]
We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities.
The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
arXiv Detail & Related papers (2022-03-23T17:42:34Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Action Redundancy in Reinforcement Learning [54.291331971813364]
We show that transition entropy can be described by two terms; namely, model-dependent transition entropy and action redundancy.
Our results suggest that action redundancy is a fundamental problem in reinforcement learning.
arXiv Detail & Related papers (2021-02-22T19:47:26Z) - Catalytic Transformations of Pure Entangled States [62.997667081978825]
Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states.
The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open.
Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
arXiv Detail & Related papers (2021-02-22T16:05:01Z) - Shannon Entropy Rate of Hidden Markov Processes [77.34726150561087]
We show how to calculate entropy rates for hidden Markov chains.
We also show how this method gives the minimal set of infinite predictive features.
A sequel addresses the challenge's second part on structure.
arXiv Detail & Related papers (2020-08-29T00:48:17Z) - Entropy production in the quantum walk [62.997667081978825]
We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective.
We argue that the evolution of the coin can be modeled as an open two-level system that exchanges energy with the lattice at some effective temperature.
arXiv Detail & Related papers (2020-04-09T23:18:29Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.