Accelerated and Noise‐Resistant Protocol of Dissipation‐Based Knill–Laflamme–Milburn State Generation with Lyapunov Control

• Published in: Annalen der Physik Vol. 531; no. 7
• Main Authors: Wang, Yu, Hu, Chang‐Sheng, Shi, Zhi‐Cheng, Huang, Bi‐Hua, Song, Jie, Xia, Yan
• Format: Journal Article
• Language: English
• Published: Weinheim Wiley Subscription Services, Inc 01.07.2019
• Subjects: additional coherent control field; Computer simulation; dissipation dynamic; Entanglement; Lyapunov control; Robustness (mathematics)
• ISSN: 0003-3804; 1521-3889
• DOI: 10.1002/andp.201900006

A protocol to generate steady Knill–Laflamme–Milburn (KLM) states of two Rydberg atoms with dissipation and Lyapunov control is proposed. Herein, combining with the quantum Zeno dynamics and the Rydberg antiblockade, a unique and steady solution of the master equation of the system is obtained, which satisfies the definition of KLM states. Furthermore, to polish the convergence rate, well‐designed additional coherent control (ACC) fields with Lyapunov control are added into the traditional dissipation process. Numerical simulation reveals that the steady target state generation is prominently accelerated and the protocol is robust against the stochastic noise errors caused by laser fields. It is hoped that the work may provide an alternative protocol to polish the generation of entanglement. A fast and high‐fidelity protocol for Knill–Laflamme–Milburn (KLM) states generation is proposed. Combining with dissipation and Lyapunov control, the steady target state generation is prominently accelerated and the protocol is robust against the stochastic noise errors caused by laser fields. Therefore, this work provides an alternative protocol to polish the generation of entanglement.