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16 - The Resource Theory of Nonuniformity

from Part V - Additional Examples of Static Resource Theories

Published online by Cambridge University Press:  03 May 2025

Gilad Gour
Affiliation:
Technion - Israel Institute of Technology, Haifa
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Summary

Chapter 16, centered on the resource theory of nonuniformity, serves as an essential precursor to discussions on thermodynamics as a resource theory. It presents nonuniformity as a fundamental quantum resource, using it as a toy model to prepare for more complex thermodynamic concepts. In this model, free states are considered to be maximally mixed states, analogous to Gibbs states with a trivial Hamiltonian, providing a simplified context for exploring quantum thermodynamics. The chapter carefully outlines how nonuniformity is quantified, offering closed formulas for the conversion distance, nonuniformity cost, and distillable nonuniformity. These measures are explored both in the single-shot and the asymptotic domains. The availability of closed formulas makes this model particularly insightful, demonstrating clear, quantifiable relationships between various measures of nonuniformity.

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Publisher: Cambridge University Press
Print publication year: 2025

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