Second-order shaped pulses for solid-state quantum computation

Abstract

We present the constructon 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 semi-analytical 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 analysing 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.

16 pages, 29 figures

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Cited by in corpus (14)

• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
• Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
• Analytically parameterized solutions for robust quantum control using smooth pulses
• Soft-Pulse Dynamical Decoupling with Markovian Decoherence
• Optimized pulses for the perturbative decoupling of spin and decoherence bath
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Dynamical decoupling of a qubit with always-on control fields
• Frequency modulated pulses for quantum bits coupled to time-dependent baths
• Time-optimal polarization transfer from an electron spin to a nuclear spin
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation
• Pulse-controlled quantum gate sequences on a strongly coupled qubit chain