10 Jun 2004 | Lieven M.K. Vandersypen, Isaac L. Chuang
The article provides an overview of nuclear magnetic resonance (NMR) techniques used in quantum control and computation. It highlights the significant advancements in NMR over the past fifty years, which have enabled precise control of coupled two-level quantum systems. The authors discuss the development of various pulse control and tomographic techniques that have been instrumental in implementing quantum protocols, allowing for the control of systems up to seven qubits. The article covers the system Hamiltonian, control Hamiltonian, and relaxation and decoherence mechanisms. It also delves into elementary and advanced pulse techniques, including shaped pulses, composite pulses, and average-Hamiltonian theory. The evaluation of quantum control through standard experiments and the discussion of conclusions are also covered. The article emphasizes the robustness and experimental implementation of these techniques, making it a valuable resource for researchers in the field of NMR quantum computation.The article provides an overview of nuclear magnetic resonance (NMR) techniques used in quantum control and computation. It highlights the significant advancements in NMR over the past fifty years, which have enabled precise control of coupled two-level quantum systems. The authors discuss the development of various pulse control and tomographic techniques that have been instrumental in implementing quantum protocols, allowing for the control of systems up to seven qubits. The article covers the system Hamiltonian, control Hamiltonian, and relaxation and decoherence mechanisms. It also delves into elementary and advanced pulse techniques, including shaped pulses, composite pulses, and average-Hamiltonian theory. The evaluation of quantum control through standard experiments and the discussion of conclusions are also covered. The article emphasizes the robustness and experimental implementation of these techniques, making it a valuable resource for researchers in the field of NMR quantum computation.