# Coherence non-activating measurement

## TL;DR

This paper introduces coherence non-activating measurements in quantum systems, exploring their properties, connection to quantum steering, and implications for quantum discord and resource theories.

## Contribution

It defines coherence non-activating measurements and investigates their role in quantum steering and discord, offering new insights into resource non-activating conditions.

## Key findings

- Coherence non-activating measurements do not alter measurement outcomes despite destroying coherence.
- A link is established between coherence non-activating ability and quantum steering.
- Quantum discord based on coherence non-activating measurement exhibits specific behaviors under local incoherent operations.

## Abstract

We define the coherence non-activating measurement as the positive operator-valued measurement which gives the same result whether or not the coherence in a quantum state is destroyed. A connection is built between the coherence activating ability of a measurement and its ability to steer quantum states when coherence non-activating measurement is free. Then we study the quantum discord based on coherence non-activating measurement and its behavior under local incoherent operations. Our results contribute to the study of resource non-activating condition, which is a complementary to the well-studied resource non-generating condition.