Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control
arXiv:2108.05190 · doi:10.1103/PhysRevA.104.042226
Abstract
We apply the Small Tip-Angle Approximation in the Toggling Frame in order to analytically design robust pulses against resonance offsets for state to state transfer in two-level quantum systems. We show that a broadband or a local robustness up to an arbitrary order can be achieved. We provide different control parameterizations to satisfy experimental constraints and limitations on the amplitude or energy of the pulse. A comparison with numerical optimal solutions is made.
arXiv comment32 pages, 7 figures
References in corpus (33)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Control of quantum phenomena: Past, present, and future
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Training Schrödinger's cat: quantum optimal control
- Time Optimal Control in Spin Systems
- Shortcuts to adiabaticity
- Quantum control theory and applications: A survey
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Quantum control of molecular rotation
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Robust quantum control by shaped pulse
- Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
- Modeling and Control of Quantum Systems: An Introduction
- Monotonically convergent optimization in quantum control using Krotov's method
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Singular extremals for the time-optimal control of dissipative spin 1/2 particles
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Sampling-based learning control of inhomogeneous quantum ensembles
- Time-optimal control of SU(2) quantum operations
- Robust optimal control of two-level quantum systems
- Simultaneous time-optimal control of the inversion of two spin 1/2 particles
- Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
- Optimal control of quantum superpositions in a bosonic Josephson junction
- The fastest pulses that implement dynamically corrected gates
- Designing short robust NOT gates for quantum computation
- Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
- General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
- Coherent control techniques for two-state quantum systems: A comparative study
- Control of Inhomogeneous Ensembles on The Bloch Sphere
- Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
- Stochastic learning control of inhomogeneous quantum ensembles
- Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
- On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain