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Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence.

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Correlated catalysts enable arbitrary power in manipulating quantum coherence, a key quantum resource. This discovery reveals new embezzlement-like phenomena and advances quantum thermodynamics.

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics
  • Quantum Resource Theory

Background:

  • Catalysts are ancillary quantum states that assist transformations without being consumed.
  • Understanding catalyst-enhanced manipulation is crucial for quantifying quantum resource limits.

Purpose of the Study:

  • To investigate the impact of correlations among multiple catalysts on quantum state transformations.
  • To explore the potential for arbitrary power in quantum coherence manipulation using correlated catalysts.

Main Methods:

  • Proving that any state transformation can be achieved with arbitrarily small error using covariant operations and correlated catalysts.
  • Extending the analysis to general resource theories to identify conditions for catalyst-assisted transformations.

Main Results:

  • Demonstrating that correlations among catalysts grant arbitrary power in manipulating quantum coherence.
  • Identifying a novel embezzlement-like phenomenon attributed to correlations within catalysts.
  • Establishing conditions for feasible transformations assisted by correlated catalysts in general resource theories.

Conclusions:

  • Correlated catalysts offer a powerful new mechanism for quantum resource manipulation.
  • This work provides a comprehensive overview of correlation's role in catalysts and advances quantum thermodynamics characterization.
  • The findings have implications for understanding and optimizing the use of quantum resources.