# Necessary conditions for steerability of two qubits, from consideration of local operations

## TL;DR

This paper develops an analytical method to identify two-qubit quantum states that cannot demonstrate EPR-steering, enhancing understanding of the conditions under which quantum steering is impossible.

## Contribution

It introduces a novel approach to construct classes of non-steerable two-qubit states based on local operations, advancing the theoretical understanding of quantum steering.

## Key findings

- Identified new classes of non-steerable two-qubit states
- Provided an analytical framework for assessing steerability
- Enhanced criteria for quantum steering detection

## Abstract

EPR-steering refers to the ability of one observer to convince a distant observer that they share entanglement by making local measurements. Determining which states allow a demonstration of EPR-steering remains an open problem in general. Here, we outline and demonstrate a method of analytically constructing new classes of two-qubit states which are non-steerable by arbitrary projective measurements, from consideration of local operations performed by the steering party on states known to be non-steerable.