The meaning of redundancy and consensus in quantum objectivity

• URL: http://arxiv.org/abs/2211.09150v2
• Date: Tue, 4 Jul 2023 15:21:25 GMT
• Title: The meaning of redundancy and consensus in quantum objectivity
• Authors: Dario A. Chisholm, Luca Innocenti, G. Massimo Palma
• Abstract summary: "Redundancy" and "consensus" should be understood as two related notions, that quantify different features of the quantum-to-classical transition. We show that the two main frameworks used to measure quantum objectivity, namely spectrum broadcast structure and quantum Darwinism, are best suited to quantify redundancy and consensus.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: While the terms "redundancy" and "consensus" are often used as synonyms in the context of quantum objectivity, we show here that these should be understood as two related but distinct notions, that quantify different features of the quantum-to-classical transition. We show that the two main frameworks used to measure quantum objectivity, namely spectrum broadcast structure and quantum Darwinism, are best suited to quantify redundancy and consensus, respectively. Furthermore, by analyzing explicit examples of states with nonlocally encoded information, we highlight the potentially stark difference between the degrees of redundancy and consensus. In particular, this causes a break in the hierarchical relations between spectrum broadcast structure and quantum Darwinism. Our framework provides a new perspective to interpret known and future results in the context of quantum objectivity, paving the way for a deeper understanding of the emergence of classicality from the quantum realm.

Related papers

• Towards a Generalized Theory of Observers [41.94295877935867]
  We argue that observers serve as indispensable reference points for measurement, reference frames, and the emergence of meaning. We show how this formalism sheds new light on debates related to consciousness, quantum measurement, and computational boundaries.
  arXiv  Detail & Related papers  (2025-04-22T19:35:55Z)
• Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration [0.0]
  Concept of compatibility originally emerged as a synonym for the commutativity of observables and later evolved into the notion of measurement compatibility. Recently, still within the quantum domain, the concept of context incompatibility has been proposed as a resource for detecting eavesdropping in quantum communication channels.
  arXiv  Detail & Related papers  (2025-03-27T19:34:00Z)
• From Quantum Cognition to Conceptuality Interpretation II: Unraveling the Quantum Mysteries [0.0]
  An overview of the conceptuality interpretation of quantum mechanics is presented, along with an explanation of how it sheds light on key quantum and relativistic phenomena. We show how the interpretation clarifies Heisenberg's uncertainty principle, wave function-based and entanglement-based nonlocality, interference effects resulting from the superposition principle, delayed choice experiments, quantum measurements, the mechanism of quantization. We argue that the interpretation can also elucidate relativistic effects, focusing on time dilation.
  arXiv  Detail & Related papers  (2024-11-25T06:05:25Z)
• An algebraic characterisation of Kochen-Specker contextuality [0.0]
  Contextuality is a key distinguishing feature between classical and quantum physics. It expresses a fundamental obstruction to describing quantum theory using classical concepts. Different frameworks address different aspects of the phenomenon, yet their precise relationship often remains unclear.
  arXiv  Detail & Related papers  (2024-08-29T17:58:12Z)
• Equivalence Relations in Quantum Theory: An Objective Account of Bases and Factorizations [0.0]
  In orthodox Standard Quantum Mechanics (SQM) bases and factorizations are considered to define quantum states and entanglement in relativistic terms. We provide an invariant account of bases and factorizations which allows us to build a conceptual-operational bridge between formalism and quantum phenomena.
  arXiv  Detail & Related papers  (2024-04-23T10:17:49Z)
• Quantum Coherence and Distinguishability: A Resource-Theoretic Perspective on Wave-Particle Duality [7.618711227642954]
  Wave-particle duality, the cornerstone of quantum mechanics, illustrates essential trade-offs between two complementary aspects of quantum systems. We uncover a novel duality relation between quantum coherence and distinguishability in ensembles of mutually pure states.
  arXiv  Detail & Related papers  (2024-04-22T16:33:31Z)
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
  We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
  arXiv  Detail & Related papers  (2024-02-19T19:00:02Z)
• Quantifying High-Order Interdependencies in Entangled Quantum States [43.70611649100949]
  We introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We show that quantum systems need at least four variables to exhibit high-order properties. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution.
  arXiv  Detail & Related papers  (2023-10-05T17:00:13Z)
• Quantum networks theory [0.0]
  The formalism of quantum theory over discrete systems is extended in two significant ways. tensors and traceouts are generalized, so that systems can be partitioned according to almost arbitrary logical predicates. The interrelations between the notions of unitarity, complete positivity, trace-preservation, non-signalling causality, locality and localizability that are standard in quantum theory be jeopardized as the neighbourhood and partitioning between systems become both quantum, dynamical, and logical.
  arXiv  Detail & Related papers  (2021-10-20T14:29:47Z)
• Quantum realism: axiomatization and quantification [77.34726150561087]
  We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory. We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
  arXiv  Detail & Related papers  (2021-10-10T18:08:42Z)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Quantum Entropic Causal Inference [30.939150842529052]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
  arXiv  Detail & Related papers  (2021-02-23T15:51:34Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• Blurred quantum Darwinism across quantum reference frames [0.11719282046304676]
  We take the formalism of [Giacomini, Castro-Ruiz, & Brukner, Nat 10, 494] and consider the repercussions on objectivity when changing quantum reference frames. There is different objective information in different reference frames due to the interchangeability of entanglement and coherence, and of statistical mixing and classical correlations.
  arXiv  Detail & Related papers  (2020-06-11T12:30:56Z)

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.