Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control
arXiv:1710.04505 · doi:10.1088/1367-2630/aaac8a
Abstract
We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the system Hamiltonian. The shortcut-to-adiabaticity (STA) formalism then provides a control Hamiltonian that realizes the reference trajectory exactly but on a finite time scale. As the final state is achieved with certainty, we define a cost functional that incorporates the resource requirements and a perturbative expression for robustness. We optimize this functional by systematically varying the reference trajectory. We demonstrate the method by application to population transfer in a laser driven three-level Λ-system, where we find solutions that are fast and robust against perturbations while maintaining a low peak laser power.
References in corpus (30)
- Quantum-enhanced measurements: beating the standard quantum limit
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Training Schrödinger's cat: quantum optimal control
- Shortcut to adiabatic passage in two and three level atoms
- Shortcuts to adiabaticity by counter-diabatic driving
- Chopped random-basis quantum optimization
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- More bang for your buck: Towards super-adiabatic quantum engines
- Speeding up adiabatic quantum state transfer by using dressed states
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Trade-off between speed and cost in shortcuts to adiabaticity
- Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
- Monotonically convergent optimization in quantum control using Krotov's method
- Adiabatic Elimination in a Lambda System
- Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
- Adiabatic tracking of quantum many-body dynamics
- Optimal trajectories for efficient atomic transport without final excitation
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
- Optimal control of complex atomic quantum systems
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Exploring the Quantum Speed Limit with Computer Games
- Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
- Fast and optimal transport of atoms with non-harmonic traps
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- Shortcuts to adiabaticity: concepts, methods, and applications
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- Robust and highly-efficient discrimination of chiral molecules through three-mode parallel paths
- Fast and robust control of two interacting spins
- Fast and robust quantum control for multimode interactions by using shortcuts to adiabaticity
- Quantum Control via Enhanced Shortcuts to Adiabaticity
- Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates
- Realistic Shortcuts to Adiabaticity in Optical Transfer
- Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage
- Performance of superadiabatic stimulated Raman adiabatic passage in the presence of dissipation and Ornstein-Uhlenbeck dephasing
- Fast quantum control in dissipative systems using dissipationless solutions
- Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
- Fast and robust magnon transport in a spin chain
- Fast long-range state transfer in quantum dot arrays via shortcuts to adiabaticity
- Fast and robust creation of an arbitrary single qubit state by nonadiabatic shortcut pulses in a three-level system
- Connection between inverse engineering and optimal control in shortcuts to adiabaticity
- Fast and robust particle shuttling for quantum science and technology
- Speeding Up Particle Slowing using Shortcuts to Adiabaticity
- STIRAP-Inspired Robust Gates for a Superconducting Dual-Rail Qubit
- Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit
- Robust population transfer of spin states by geometric formalism
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Quantum State Transfer Between Distant Optomechanical Interfaces via Shortcut to Adiabaticity
- Engineering of the qubit initialization in an imperfect physical system
- Inertial geometric quantum logic gates
- Optimization of Time-Dependent Decoherence Rates and Coherent Control for a Qutrit System