Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems

DOI10.1007/S11128-010-0203-0zbMath1216.81044OpenAlexW2052992226MaRDI QIDQ544834

Shaosheng Zhou, Shizhou Fu

Publication date: 16 June 2011

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-010-0203-0

zbMATH Keywords

Lie algebraKronecker productspin systemtensor spacePauli matrix

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Feedback control of spin systems
• Feedback control of quantum entanglement in a two-SPIN system
• Control of the evolution of Heisenberg spin systems
• Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid.
• Small time controllability of systems on compact Lie groups and spin angular momentum
• Time minimal trajectories for a spin 1∕2 particle in a magnetic field
• Transfer function approach to quantum control- part I: dynamics of quantum feedback systems
• Principles and applications of control in quantum systems

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