Deterministic Coherence Distillation

Area of Science:

• Quantum Information Science
• Quantum Optics
• Quantum Thermodynamics

Background:

• Coherence is a key resource in quantum mechanics, essential for quantum computation and information processing.
• Coherence distillation aims to convert less coherent states into more useful, highly coherent states.
• Strictly incoherent operations (SIOs) are fundamental tools in quantifying and manipulating quantum coherence.

Purpose of the Study:

• To establish the necessary and sufficient conditions for deterministic coherence distillation from mixed states using SIOs.
• To connect the resource theory of coherence with the algebraic theory of majorization.
• To develop a practical scheme for coherence distillation and determine the maximum yield of maximally coherent states.

Main Methods:

• Analysis of state transformations under strictly incoherent operations.
• Application of algebraic methods related to majorization theory.
• Development of a deterministic protocol for distilling quantum coherence.

Main Results:

• The necessary and sufficient condition for transforming mixed coherent states into pure states using SIOs was identified.
• A direct link was established between coherence distillation and the majorization lattice.
• A deterministic coherence distillation scheme was proposed, yielding the maximum possible number of maximally coherent states.

Conclusions:

• Deterministic distillation of quantum coherence is achievable for finite coherent states under SIOs.
• The majorization theory provides a powerful framework for understanding coherence transformations.
• The proposed scheme offers a practical method for generating high-quality coherent states.