A principle of information conservation for physical laws (Hidden information in quantum systems?)

• URL: http://arxiv.org/abs/2011.03493v1
• Date: Fri, 6 Nov 2020 17:58:42 GMT
• Title: A principle of information conservation for physical laws (Hidden information in quantum systems?)
• Authors: Nicolas Underwood
• Abstract summary: A principle of information conservation is shown to rule out probabilistic physical laws. It provides a geometric-thermodynamic mechanism for the appearance of probability distributions at the operational level.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A principle of information conservation is shown in abstract terms to rule out probabilistic physical laws, necessitating the existence of state trajectories. It furthermore provides a geometric-thermodynamic mechanism for the appearance of probability distributions at the operational level, and thus may provide a dynamical explanation for Born's rule of quantum probabilities. This link between geometry and operational probabilities is argued to be a promising angle from which to study the potential for "hidden information" in quantum systems, and guide efforts in quantum foundations more generally.

Related papers

• Physical Observers and Quantum Reconstructions [0.0]
  We argue that the observer retains only predictive information about the observed system.<n>Applying to a lower limit on energy dissipation, the principle leads directly to a compact predictive model.
  arXiv  Detail & Related papers  (2025-06-02T11:37:54Z)
• Quantum information elements in Quantum Gravity states and processes [0.0]
  We discuss basic features of quantum gravity states and processes, common to a number of related quantum gravity formalisms. We show how entanglement is a seed of topological and geometric properties, and how a pre-geometric, discrete notion of quantum causality can be implemented.
  arXiv  Detail & Related papers  (2025-02-28T17:03:09Z)
• The Quantum Wave Function as a Complex Probability Distribution [0.0]
  We show that the wave function and its complex conjugate can be interpreted as complex probability distributions. It is suggested that embracing the idea of processes in quantum theory may explain the reasons for the appearance of classical behavior in large objects.
  arXiv  Detail & Related papers  (2025-02-14T19:39:06Z)
• Algorithmic Idealism III: "Algorithmic State" Formulation of Quantum Mechanics [0.0]
  This work introduces Algorithmic Idealism a framework that reinterprets quantum mechanics as a computational process governed by algorithmic probability informational simplicity and utility optimization. The paper presents a set of quantum mechanics postulates inspired by this framework and explains their mathematical meaning in detail.
  arXiv  Detail & Related papers  (2025-01-20T06:47:14Z)
• Quantum Conditional Entropies [7.988085110283119]
  We introduce a comprehensive family of conditional entropies that reveals a unified structure underlying all previously studied forms of quantum conditional R'enyi entropies. This new family satisfies a range of desiderata, including data processing inequalities, additivity under tensor products, duality relations, chain rules, concavity or convexity, and various parameter monotonicity relations. We expect this family of entropies, along with our generalized chain rules, to find applications in quantum cryptography and information theory.
  arXiv  Detail & Related papers  (2024-10-29T12:03:10Z)
• Deriving the Landauer Principle From the Quantum Shannon Entropy [0.0]
  We derive an expression for the equilibrium probability distribution of a quantum state in contact with a noisy thermal environment. We show that the free energy required to erase or reset a qubit depends sensitively on both the fidelity of the target state and on the physical properties of the environment.
  arXiv  Detail & Related papers  (2024-10-08T07:01:37Z)
• Generalized Quantum Stein's Lemma and Second Law of Quantum Resource Theories [47.02222405817297]
  A fundamental question in quantum information theory is whether an analogous second law can be formulated to characterize the convertibility of resources for quantum information processing by a single function. In 2008, a promising formulation was proposed, linking resource convertibility to the optimal performance of a variant of the quantum version of hypothesis testing. In 2023, a logical gap was found in the original proof of this lemma, casting doubt on the possibility of such a formulation of the second law.
  arXiv  Detail & Related papers  (2024-08-05T18:00:00Z)
• Quantum Onsager relations [0.0]
  I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.
  arXiv  Detail & Related papers  (2024-03-19T16:50:11Z)
• Probabilistic Unitary Formulation of Open Quantum System Dynamics [3.8326963933937885]
  We show that for any continuously evolving open quantum system, its dynamics can be described by a time-dependent Hamiltonian and probabilistic combinations of up to $d-1$. The formalism provides a scheme to control a quantum state to evolve along designed quantum trajectories, and can be particularly useful in quantum computing and quantum simulation scenes.
  arXiv  Detail & Related papers  (2023-07-11T20:07:03Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
  We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories. The measurements are applied to the entire system, having the effect of projecting the system into a product state.
  arXiv  Detail & Related papers  (2023-05-06T18:09:17Z)
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light [58.8645797643406]
  We propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath. We verify that the quantum modification for the principle of microscopic reversibility is critical in the low-temperature limit.
  arXiv  Detail & Related papers  (2022-05-26T00:25:29Z)
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics [101.18253437732933]
  We compare the Maximum Entropy Principle method, with the recently proposed Average Assignment Map method. Despite the fact that the assigned descriptions respect the measured constraints, the descriptions differ in scenarios that go beyond the traditional system-environment structure.
  arXiv  Detail & Related papers  (2022-05-16T19:42:24Z)
• Shannon theory beyond quantum: information content of a source [68.8204255655161]
  We extend the definition of information content to operational probabilistic theories. We prove relevant properties as the subadditivity, and the relation between purity and information content of a state.
  arXiv  Detail & Related papers  (2021-12-23T16:36:06Z)
• Quantum logical entropy: fundamentals and general properties [0.0]
  We introduce the quantum logical entropy to study quantum systems. We prove several properties of this entropy for generic density matrices. We extend the notion of quantum logical entropy to post-selected systems.
  arXiv  Detail & Related papers  (2021-08-05T16:47:22Z)

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.