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Researchers generalized the Jarzynski equality for quantum operations beyond unital maps. This work extends fluctuation theorems to non-unital quantum channels, providing new insights into quantum thermodynamics.

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Area of Science:

  • Quantum Information Theory
  • Statistical Mechanics
  • Quantum Thermodynamics

Background:

  • Jarzynski equality and fluctuation theorems are key in non-equilibrium statistical mechanics.
  • Previous work extended these to unital quantum operations (completely positive, trace-preserving maps).
  • Unital maps preserve the maximally mixed state, a limitation for broader applications.

Purpose of the Study:

  • To generalize the Jarzynski equality for arbitrary quantum operations, including non-unital ones.
  • To introduce and analyze a correction term arising from nonunitality.
  • To establish bounds for this correction term and demonstrate its application.

Main Methods:

  • Derivation of a generalized Jarzynski equality for arbitrary quantum operations.
  • Analysis of the correction term associated with non-unital quantum maps.
  • Establishing theoretical bounds for the relative size of the correction term.

Main Results:

  • A generalized Jarzynski equality is derived for non-unital quantum operations.
  • A correction term accounting for nonunitality is identified.
  • Bounds for the correction term are established and applied to specific quantum channels.

Conclusions:

  • The derived equality extends the applicability of Jarzynski equality and fluctuation theorems to a wider class of quantum processes.
  • The findings provide a more comprehensive understanding of non-equilibrium quantum dynamics.
  • The established bounds offer practical insights for analyzing quantum channels in finite-dimensional systems.