Numerical Analysis of Optimized Coherent Control Pulses

Abstract

Numerically we simulate the effect of optimized coherent control pulses with a finite duration on a qubit in a bath of spins. The pulses of finite duration are compared with ideal instantaneous pulses. In particular, we show that properly designed short pulses can approximate ideal instantaneous pulses up to a certain order in the shortness of the pulse. We provide examples of such pulses, quantify the discrepancy from the ideal case and compare their effect for various ranges of the coupling constants.

8 pages and 10 figures, published version

References in corpus (5)

• Fault-Tolerant Quantum Dynamical Decoupling
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Optimization of Short Coherent Control Pulses
• Temperature induced spin coherence dissipation in quantum dots
• Generalization of short coherent control pulses: extension to arbitrary rotations

Cited by in corpus (1)

• Quantum many-body theory of qubit decoherence in a finite-size spin bath