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Title: Second-order shaped pulsed for solid-state quantum computation

Second-order shaped pulsed for solid-state quantum computation 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.
Authors:
Publication Date:
OSTI Identifier:OSTI ID: 957746
Report Number(s):LA-UR-08-04428; LA-UR-08-4428
Journal ID: ISSN 1050-2947; PLRAAN; TRN: US201016%%152
DOE Contract Number:AC52-06NA25396
Resource Type:Journal Article
Resource Relation:Journal Name: Physical Review A
Research Org:Los Alamos National Laboratory (LANL)
Sponsoring Org:DOE
Country of Publication:United States
Language:English
Subject: 71; AMPLITUDES; DECOUPLING; NUMERICAL ANALYSIS; PERFORMANCE; QUBITS; ROTATION; QUANTUM COMPUTERS