Optimization of Short Coherent Control Pulses

Abstract

The coherent control of small quantum system is considered. For a two-level system coupled to an arbitrary bath we consider a pulse of finite duration. We derive the leading and the next-leading order corrections to the evolution operator due to the non-commutation of the pulse and the bath Hamiltonian. The conditions are computed that make the leading corrections vanish. The pulse shapes optimized in this way are given for $\pi$ and $\frac{\pi }{2}$ pulses.

9 pages, 6 figures; published version

References in corpus (4)

• Fault-Tolerant Quantum Dynamical Decoupling
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Arbitrarily accurate composite pulses
• Generating Unexpected Spin Echoes in Dipolar Solids with Pi Pulses

Cited by in corpus (6)

• How to Enhance Dephasing Time in Superconducting Qubits
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Generalization of short coherent control pulses: extension to arbitrary rotations
• Numerical Analysis of Optimized Coherent Control Pulses