Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates
Boris O Volkov, Oleg V Morzhin, Alexander N Pechen
Abstract
Abstract Mathematical analysis of quantum control landscapes, which aims to prove either absence or existence of traps for quantum control objective functionals, is an important topic in quantum control. In this work, we provide a rigorous analysis of quantum control landscapes for ultrafast generation of single-qubit quantum gates and show, combining analytical methods based on a sophisticated analysis of spectrum of the Hessian, and numerical optimization methods such as gradient ascent pulse engineering, differential evolution, and dual annealing, that control landscape for ultrafast generation of phase shift gates is free of traps.
Topics & Concepts
Ultrashort pulsePhysicsQuantum gateQuantumQuantum mechanicsQuantum error correctionPhase (matter)Quantum computerDifferential phaseQuantum algorithmQuantum technologyQuantum sensorCoherent controlPulse (music)Quantum networkQuantum Fourier transformQuantum channelOpen quantum systemQuantum operationQuantum phasesQuantum controlQuantum processPhase controlQuantum information processingDifferential (mechanical device)Quantum dynamicsQuantum phase estimation algorithmControl (management)Quantum informationLogic gateQuantum Information and CryptographyLaser-Matter Interactions and ApplicationsQuantum Computing Algorithms and Architecture