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Quantum Darwinism (0903.5082v1)

Published 29 Mar 2009 in quant-ph

Abstract: Quantum Darwinism describes the proliferation, in the environment, of multiple records of selected states of a quantum system. It explains how the fragility of a state of a single quantum system can lead to the classical robustness of states of their correlated multitude; shows how effective `wave-packet collapse' arises as a result of proliferation throughout the environment of imprints of the states of quantum system; and provides a framework for the derivation of Born's rule, which relates probability of detecting states to their amplitude. Taken together, these three advances mark considerable progress towards settling the quantum measurement problem.

Citations (525)

Summary

  • The paper presents Quantum Darwinism as a framework explaining the emergence of classical reality from quantum systems through environmental interaction and information redundancy.
  • Decoherence and einselection are central processes explaining how robust 'pointer states' are selected and proliferate information into the environment.
  • Quantum Darwinism suggests the environment acts as a witness, allowing observers to gain objective information from redundant copies of pointer states.

Quantum Darwinism: A Framework for Addressing the Quantum-Classical Transition

The paper "Quantum Darwinism" by Wojciech Hubert Zurek offers a comprehensive exploration into the mechanisms underlying the emergence of classicality from quantum roots, focusing on the process termed as Quantum Darwinism. This exploration is pivotal in addressing the quantum measurement problem and explaining the transition from quantum superposition to classical definiteness. Zurek's discussions are deeply rooted in the principles of decoherence and extend into the innovative notion of Quantum Darwinism, which collectively crystallizes our understanding of quantum-to-classical transition.

At its core, Quantum Darwinism refers to the proliferation of redundant information about quantum systems into the environment, which consequently allows for classical objectivity of certain 'pointer states'. These states become observable through interactions with fragments of the environment that redundantly carry this quantum information. The paper meticulously details this process, emphasizing how pointer states are singled out due to their robustness against decoherence and their informational proliferation in the environment.

Decoherence is central to Zurek’s framework, wherein the interaction of a quantum system with its environment causes a loss of phase relations between component states. This process effectively allows certain robust states to emerge as the effective classical states, while suppressing superpositions. Zurek elaborates on the role of einselection (environment-induced superselection), which preferentially selects for pointer states that retain correlations with the environment. These correlations are central to recognize states which observers can efficiently and non-invasively detect, thereby obtaining consistent and redundant information.

The paper also challenges the classical interpretation of information within quantum mechanics by introducing the idea of the environment as a witness. Rather than treating the environment as an inaccessible reservoir, Zurek proposes a model where observers indirectly gain information from the environment, capitalizing on the redundant imprinting of information about pointer states. This model aligns with the redundancy theory: significant states of a quantum system can be discovered from numerous independent environmental fragments, supporting objectivity through information redundancy.

Furthermore, a critical assertion in Zurek’s work is the derivation of Born’s rule via entanglement symmetries. The paper discusses how Born's rule can be derived without circularity when addressing probabilities within quantum frameworks, which signifies an attempt to align theoretical aspects of quantum mechanics directly with its experimental observations.

The implications of Quantum Darwinism are manifold. Practically, it offers a refined understanding of how classical reality emerges from quantum substrates. Theoretically, it encourages reinterpretation of measurement postulates and probabilities in quantum mechanics, potentially leading to refined models for quantum computation and quantum information technology. It also invites speculation on the limits of scale at which classical semblance breaks down, thus how macroscopic observations remain effectively classical.

In conclusion, Zurek's Quantum Darwinism forms a critical component in reconciling quantum mechanics with classical phenomena by elaborating on the selection and redundancy of quantum information. Future investigations will likely explore the broader applicability of these ideas in diverse fields of physics and deepen insights into the nature of reality at quantum scales, continuing to bridge the elusive gap between quantum and classical worlds.

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