Lyapunov Control of Quantum Systems Based on Energy-Level Connectivity Graphs

Sen Kuang; Daoyi Dong; Ian R. Petersen

doi:10.1109/TCST.2018.2871186

Lyapunov Control of Quantum Systems Based on Energy-Level Connectivity Graphs

Sen Kuang, Daoyi Dong^*, Ian R. Petersen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

This paper proposes a new multilayer Lyapunov control scheme based on energy-level connectivity graphs of quantum systems, which enables a high-probability population transfer to any eigenstate in high-dimensional quantum systems. We provide a graph connectivity result for stability analysis and explore the selectivity characteristic of the Lyapunov control fields. A systematic layering method for the energy-level connectivity graph is presented to achieve a layer-by-layer population transfer to the target state. Several applications including a five-level quantum system, a three-qubit superconducting system, and a spin chain of five qubits are presented to demonstrate the effectiveness of the multilayer Lyapunov control method.

Original language	English
Article number	8481533
Pages (from-to)	2315-2329
Number of pages	15
Journal	IEEE Transactions on Control Systems Technology
Volume	27
Issue number	6
DOIs	https://doi.org/10.1109/TCST.2018.2871186
Publication status	Published - Nov 2019

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title = "Lyapunov Control of Quantum Systems Based on Energy-Level Connectivity Graphs",

abstract = "This paper proposes a new multilayer Lyapunov control scheme based on energy-level connectivity graphs of quantum systems, which enables a high-probability population transfer to any eigenstate in high-dimensional quantum systems. We provide a graph connectivity result for stability analysis and explore the selectivity characteristic of the Lyapunov control fields. A systematic layering method for the energy-level connectivity graph is presented to achieve a layer-by-layer population transfer to the target state. Several applications including a five-level quantum system, a three-qubit superconducting system, and a spin chain of five qubits are presented to demonstrate the effectiveness of the multilayer Lyapunov control method.",

keywords = "Energy-level connectivity graph, Lyapunov control, quantum systems, selective population transfer",

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AU - Kuang, Sen

AU - Dong, Daoyi

AU - Petersen, Ian R.

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N2 - This paper proposes a new multilayer Lyapunov control scheme based on energy-level connectivity graphs of quantum systems, which enables a high-probability population transfer to any eigenstate in high-dimensional quantum systems. We provide a graph connectivity result for stability analysis and explore the selectivity characteristic of the Lyapunov control fields. A systematic layering method for the energy-level connectivity graph is presented to achieve a layer-by-layer population transfer to the target state. Several applications including a five-level quantum system, a three-qubit superconducting system, and a spin chain of five qubits are presented to demonstrate the effectiveness of the multilayer Lyapunov control method.

AB - This paper proposes a new multilayer Lyapunov control scheme based on energy-level connectivity graphs of quantum systems, which enables a high-probability population transfer to any eigenstate in high-dimensional quantum systems. We provide a graph connectivity result for stability analysis and explore the selectivity characteristic of the Lyapunov control fields. A systematic layering method for the energy-level connectivity graph is presented to achieve a layer-by-layer population transfer to the target state. Several applications including a five-level quantum system, a three-qubit superconducting system, and a spin chain of five qubits are presented to demonstrate the effectiveness of the multilayer Lyapunov control method.

KW - Energy-level connectivity graph

KW - Lyapunov control

KW - quantum systems

KW - selective population transfer

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JO - IEEE Transactions on Control Systems Technology

JF - IEEE Transactions on Control Systems Technology

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M1 - 8481533

ER -

Lyapunov Control of Quantum Systems Based on Energy-Level Connectivity Graphs

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