# Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States

## TL;DR

This paper studies how localizable entanglement in random multi-qubit pure states behaves under different conditions, revealing uniform effects of decoherence and its independence from initial entanglement.

## Contribution

It provides new insights into the distribution patterns of localizable entanglement and the impact of noise, highlighting uniform decoherence effects across random states.

## Key findings

- Mean localizable entanglement increases with qubit number in noiseless states
- Standard deviation of entanglement distribution decreases as qubits increase
- Maximum noise level for entanglement survival can be independent of initial entanglement

## Abstract

We investigate the patterns in distributions of localizable entanglement over a pair of qubits for random multi-qubit pure states. We observe that the mean of localizable entanglement increases gradually with increasing the number of qubits of random pure states while the standard deviation of the distribution decreases. The effects on the distributions, when the random pure multi-qubit states are subjected to local as well as global noisy channels, are also investigated. Unlike the noiseless scenario, the average value of the localizable entanglement remains almost constant with the increase in the number of parties for a fixed value of noise parameter. We also find out that the maximum strength of noise under which entanglement survives can be independent of the localizable entanglement content of the initial random pure states.