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

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Cited by in corpus (9)

• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
• Optimized pulses for the control of uncertain qubits
• Non-Markovian master equation for a damped oscillator with time-varying parameters
• Optimized pulses for the perturbative decoupling of spin and decoherence bath
• High Order Coherent Control Sequences of Finite-Width Pulses
• Controlling NMR spin systems for quantum computation
• Short coherent control pulse with small random errors in its direction