# Two-qubit trace-norm geometric discord: the complete solution

## TL;DR

This paper provides a comprehensive solution for calculating the trace-norm geometric discord in any two-qubit state, simplifying the problem to analyzing critical points of a specific mapping.

## Contribution

It introduces a complete method for determining trace-norm geometric discord in two-qubit states, extending previous partial solutions.

## Key findings

- Explicit formulas for trace-norm geometric discord for various two-qubit states
- Reduction of the problem to critical point analysis of a specific mapping
- Comparison with known solutions demonstrating the method's effectiveness

## Abstract

We present the complete solution of the problem of determination of trace-norm geometric discord for arbitrary two-qubit state. Final answer is achieved due to effective reduction of the problem to the study of critical points of certain mapping depending on projectors. Our results are illustrated on various, also new, families of two-qubit states and compared to already known special solutions.