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Resource-theoretic approach to vectorial coherence.

G M Bosyk, G Bellomo, A Luis

|March 31, 2018

Summary

This summary is machine-generated.

We introduce a resource-theoretic framework to quantify vectorial coherence in partially polarized light. This approach establishes hierarchies for coherence measures, ensuring accurate assessments of light

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Area of Science:

Optics and Photonics
Quantum Information Theory
Electromagnetism

Background:

Assessing coherence in partially polarized electromagnetic fields is crucial for optical applications.
Existing coherence measures lack a unified theoretical framework for vectorial coherence.
Resource theories provide a powerful tool for quantifying fundamental properties in physics.

Purpose of the Study:

To develop a formal resource-theoretic approach for quantifying vectorial coherence.
To establish two distinct resource theories: polarization-sensitive and polarization-insensitive coherence.
To define incoherent states and operations for each theory and establish coherence hierarchies.

Main Methods:

Formal resource-theoretic framework development.
Identification of incoherent states and incoherent operations.
Establishment of preorder relations for coherence-polarization states.

Main Results:

Two resource theories for vectorial coherence (polarization-sensitive and polarization-insensitive) were identified.
Sets of incoherent states and corresponding incoherent operations were determined for each theory.
A hierarchy among coherence-polarization states was established via preorder relations.

Conclusions:

The proposed resource-theoretic framework provides a rigorous method for assessing vectorial coherence.
The identified hierarchies offer criteria for evaluating the validity of existing coherence measures.
This work advances the understanding and quantification of coherence in partially polarized light.