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  • 15 - The Resource Theory of Asymmetry

  • from Part V - Additional Examples of Static Resource Theories
  • Gilad Gour, Technion - Israel Institute of Technology, Haifa
  • Book:
    Quantum Resource Theories
    Published online:
    03 May 2025
    Print publication:
    10 April 2025, pp 673-735

  • Summary

    Chapter 15 extensively examines the resource theory of asymmetry, focusing on the significance of asymmetry as a quantum resource, particularly in situations lacking a shared reference frame. The chapter begins by identifying the foundational elements, such as free states and operations within this theory, emphasizing their role in alignment of quantum reference frames. A significant part of the discussion revolves around the quantification of asymmetry, utilizing measures like the Fisher information and Wigner–Yanase–Dyson skew information to assess the degree of asymmetry in quantum states. The concept of G-twirling is introduced as a method to achieve symmetric states, serving as a key technique in analyzing and understanding asymmetry. Moreover, the chapter explores how asymmetry can enhance tasks like parameter estimation, leveraging the maximum likelihood method to improve precision.