Protecting quantum correlations of negative quantum states using weak measurement under non-Markovian noise

TL;DR

This paper investigates how weak measurement and quantum measurement reversal can protect quantum correlations in negative quantum states under non-Markovian noise, showing some states outperform Bell states in noisy environments.

Contribution

It introduces a method to protect and enhance quantum correlations in negative quantum states using WM and QMR under non-Markovian noise, with comparative analysis against Bell states.

Findings

Some negative quantum states outperform Bell states under noise.

WM and QMR improve quantum correlations and fidelity.

Protection effectiveness varies with noise type and state.

Abstract

The weak measurement (WM) and quantum measurement reversal (QMR) are crucial in protecting the collapse of quantum states. The idea of WM and QMR has recently been used to protect and enhance quantum correlations and universal quantum teleportation (UQT) protocols. Here, we study the quantum correlations, maximal fidelity, and fidelity deviation of the two-qubit negative quantum states developed using discrete Wigner functions with(without) WM and QMR. To take into account the effect of a noisy environment, we evolve the states via non-Markovian amplitude damping and random telegraph noise quantum channels. To benchmark the performance of negative quantum states, we calculate their success probability. We compare our results with the two-qubit maximally entangled Bell state. Interestingly, we observe that some negative quantum states perform better with WM and QMR than the Bell state for different cases under evolution via noisy quantum channels.