2008/06/16 by Leonid P. Pryadko, Pinaki Sengupta
Chemistry · Engineering · Physics and Astronomy · #Algorithm #Amplitude #Computation #Computer science #Decoupling (probability) #Engineering #Laser-Matter Interactions and Applications #Molecular spectroscopy and chirality #Order (exchange) #Physics #Pulse (music) #Quantum #Quantum computer #Quantum mechanics #Qubit #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1103/physreva.78.032336
16 pages, 29 figures
arxiv created 2008/06/16 · openalex publication_date 2008/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the construction and detailed analysis of highly optimized self-refocusing pulse shapes for several rotation angles. We characterize the constructed pulses by the coefficients appearing in the Magnus expansion up to second order. This allows a semianalytical analysis of the performance of the constructed shapes in sequences and composite pulses by computing the corresponding leading-order error operators. Higher orders can be analyzed with the numerical technique suggested by us previously. We illustrate the technique by analyzing several composite pulses designed to protect against pulse amplitude errors, and on decoupling sequences for potentially long chains of qubits with on-site and nearest-neighbor couplings.