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Generic Bound Coherence under Strictly Incoherent Operations.

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Summary
This summary is machine-generated.

Quantum coherence distillation rates under strictly and physically incoherent operations are identical. Almost all quantum states exhibit bound coherence, limiting operational capabilities.

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Area of Science:

  • Quantum Information Theory
  • Quantum Thermodynamics

Background:

  • Quantum coherence is a key resource in quantum information processing.
  • Understanding the limits of coherence distillation is crucial for quantum technologies.
  • Bound coherence represents unusable quantum coherence.

Purpose of the Study:

  • To analytically compute maximal coherence distillation rates under SIO and PIO.
  • To characterize the phenomenon of bound coherence.
  • To establish criteria for distillability and understand operational limitations.

Main Methods:

  • Analytical computation of distillation rates.
  • Development of a necessary and sufficient criterion for asymptotic distillability.
  • Semidefinite programming for fidelity computation.

Main Results:

  • Maximal distillation rates under SIO and PIO coincide for all quantum states.
  • A simple criterion for distillability under SIO/PIO is established.
  • Almost all quantum states exhibit bound coherence, with only pure states and specific mixed states being distillable.

Conclusions:

  • Strictly Incoherent Operations (SIO) and Physically Incoherent Operations (PIO) have fundamental operational limitations in coherence distillation.
  • The majority of quantum states possess bound coherence, hindering their utility.
  • The study provides a complete framework for understanding and quantifying bound coherence.