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This study quantifies physical system resources using regularized relative entropy within a general resource theory. This framework unifies various quantum resource theories like entanglement and coherence.

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Area of Science:

  • Physics
  • Quantum Information Theory
  • Resource Theory

Background:

  • Quantifying properties of physical systems for useful tasks is a fundamental physics question.
  • Existing quantum resource theories (entanglement, coherence, etc.) lack a unified quantification method.

Purpose of the Study:

  • To develop a general framework for quantifying resources in physical systems.
  • To establish a connection between resource quantification and relative entropy.

Main Methods:

  • Developed a general resource-theoretic framework allowing free states as catalysts.
  • Analyzed resource quantification in the asymptotic scenario.
  • Applied the framework to special cases including entanglement, coherence, and asymmetry.

Main Results:

  • The amount of a resource in a given state equals its regularized relative entropy.
  • The framework is general, encompassing various quantum resource theories.
  • Quantified the noise needed to erase entanglement, equaling the relative entropy of entanglement.

Conclusions:

  • Established a unified method for quantifying resources across different physical systems.
  • Demonstrated the power of resource theory in understanding quantum properties.
  • Provided a concrete link between resource quantification and information-theoretic measures.