Entropic probability and context states

• URL: http://arxiv.org/abs/2412.12430v1
• Date: Tue, 17 Dec 2024 00:43:57 GMT
• Title: Entropic probability and context states
• Authors: Benjamin Schumacher, Michael D. Westmoreland,
• Abstract summary: In a previous paper, we introduced an axiomatic system for information thermodynamics, deriving an entropy function that includes both thermodynamic and information components. Here we extend the concept of entropic probability to more general collections, augmenting the states by reservoir and context states.
• Score: 0.0
• License:
• Abstract: In a previous paper, we introduced an axiomatic system for information thermodynamics, deriving an entropy function that includes both thermodynamic and information components. From this function we derived an entropic probability distribution for certain uniform collections of states. Here we extend the concept of entropic probability to more general collections, augmenting the states by reservoir and context states. This leads to an abstract concept of free energy and establishes a relation between free energy, information erasure, and generalized work.

Related papers

• A Model of Entropy Production [0.0]
  Key tenet of the Transactional Interpretation of Quantum Mechanics is the idea that photon absorption localizes the absorbing material system. We develop a rigorous model of entropy production in photon absorption processes.
  arXiv  Detail & Related papers  (2024-12-29T19:22:21Z)
• Quantum Thermodynamic Integrability for Canonical and non-Canonical Statistics [0.0]
  We extend the Carath'eodory principle of the Second Law to quantum thermodynamics with energy levels depending on macroscopic variables. This extension introduces the concept of Quantum Thermodynamic Integrability (QTI), offering an alternative foundation for statistical mechanics.
  arXiv  Detail & Related papers  (2024-07-11T09:50:39Z)
• Microscopic Legendre Transform, Canonical Ensemble and Jaynes' Maximum Entropy Principle [0.0]
  Legendre transform between thermodynamic quantities such as the Helmholtz free energy and entropy plays a key role in the formulation of the canonical ensemble. In this article, we formulate a microscopic version of the transform between the free energy and Shannon entropy of the system. We focus on the exact differential property of Shannon entropy, utilizing it to derive central relations within the canonical ensemble.
  arXiv  Detail & Related papers  (2023-12-21T11:41:01Z)
• Quantum Entanglement and the Thermal Hadron [0.0]
  This paper tests how effectively the bound states of strongly interacting gauge theories are amenable to an emergent description as a thermal ensemble. This description can be derived from a conjectured minimum free energy principle, with the entanglement entropy of two-parton subsystems playing the role of thermodynamic entropy.
  arXiv  Detail & Related papers  (2022-11-25T19:00:03Z)
• 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)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime [68.8204255655161]
  We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian. In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
  arXiv  Detail & Related papers  (2021-03-16T09:31:20Z)
• 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)
• The information-theoretic foundation of thermodynamic work extraction [0.0]
  I show that if it is possible to extract work deterministically from a physical system prepared in any one of a set of states, then those states must be distinguishable from one another. This result is formulated independently of scale and of particular dynamical laws. It also provides a novel connection between thermodynamics and information theory, established via the law of conservation of energy.
  arXiv  Detail & Related papers  (2020-09-09T21:58:03Z)
• 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.