Quantum control on entangled bipartite qubits

TL;DR

This paper explores quantum control techniques to correct distortions in entangled bipartite qubits caused by Ising interactions and magnetic fields, including pure and mixed states, to improve quantum information processing.

Contribution

It introduces methods for quantum control that adapt to uncertain distortion times, combining measurement-based and reconstruction approaches for entangled qubits.

Findings

Control schemes effectively mitigate distortions in pure states.

Extension to mixed states shows robustness under uncertain distortion times.

Methods improve fidelity of entangled pairs in quantum computation.

Abstract

Ising interaction between qubits could produce distortion in entangled pairs generated for engineering purposes (as in quantum computation) in presence of parasite magnetic fields, destroying or altering the expected behavior of process in which is projected to be used. Quantum control could be used to correct that situation in several ways. Sometimes the user should be make some measurement upon the system to decide which is the best control scheme; other posibility is try to reconstruct the system using similar procedures without perturbate it. In the complete pictures both schemes are present. We will work first with pure systems studying advantages of different procedures. After, we will extend these operations when time of distortion is uncertain, generating a mixed state, which needs to be corrected by suposing the most probably time of distortion.