Quantum error pre-compensation for quantum noisy channels
Abstract
Most previous efforts of quantum error correction focused on either extending classical error correction schemes to the quantum regime by performing a perfect correction on a subset of errors, or seeking a recovery operation to maximize the fidelity between a input state and its corresponding output state of a noisy channel. There are few results concerning quantum error pre-compensation. Here we design an error pre-compensated input state for an arbitrary quantum noisy channel and a given target output state. By following a procedure, the required input state, if it exists, can be analytically obtained in single-partite systems. Furthermore, we also present semidefinite programs to numerically obtain the error pre-compensated input states with maximal fidelities between the target state and the output state. The numerical results coincide with the analytical results.
Cite
@article{arxiv.2309.01434,
title = {Quantum error pre-compensation for quantum noisy channels},
author = {Chengjie Zhang and Liangsheng Li and Guodong Lu and Haidong Yuan and Runyao Duan},
journal= {arXiv preprint arXiv:2309.01434},
year = {2023}
}
Comments
10 pages, 3 figures,