Connection between inverse engineering and optimal control in shortcuts to adiabaticity
arXiv:2101.03387 · doi:10.3390/e23010084
Abstract
We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method, can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.
23 pages, 16 figures
References in corpus (72)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Training Schrödinger's cat: quantum optimal control
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- Shortcuts to adiabaticity by counter-diabatic driving
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Space-borne Bose-Einstein condensation for precision interferometry
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Robust quantum control by shaped pulse
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Controlling fast transport of cold trapped ions
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Fast atomic transport without vibrational heating
- Fast-forward of adiabatic dynamics in quantum mechanics
- Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
- Experimental implementation of assisted quantum adiabatic passage in a single spin
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Fast optimal transition between two equilibrium states
- Superadiabatic population transfer in a three-level superconducting circuit
- Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
- Engineered swift equilibration of a Brownian particle
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Optimal trajectories for efficient atomic transport without final excitation
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Shortcuts to adiabaticity: fast-forward approach
- Fast ground-state cooling of mechanical resonator with time-dependent optical cavities
- Optimal transport of ultracold atoms in the non-adiabatic regime
- Exploring the Quantum Speed Limit with Computer Games
- Frictionless atom cooling in harmonic traps: a time-optimal approach
- Fast transport of Bose-Einstein condensates
- Robust optimal control of two-level quantum systems
- Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors
- The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
- Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas
- Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
- Fast forward to the classical adiabatic invariant
- Fast manipulation of Bose-Einstein condensates with an atom chip
- Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
- Breaking Adiabatic Quantum Control with Deep Learning
- Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
- Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies
- Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control
- Experimental realization of a fast controlled-Z gate via a shortcut-to-adiabaticity
- Fast shuttling of a trapped ion in the presence of noise
- Fast and robust control of two interacting spins
- Optimal control of the transport of Bose-Einstein condensates with atom chips
- Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
- Fast and optimal transport of atoms with non-harmonic traps
- Approaching the adiabatic timescale with machine-learning
- Optimal shortcuts for atomic transport in anharmonic traps
- Exploiting Landscape Geometry to Enhance Quantum Optimal Control
- Time-optimal control of a dissipative qubit
- Control of Inhomogeneous Ensembles on The Bloch Sphere
- Time-optimal selective pulses of two uncoupled spin 1/2 particles
- Contrast and phase-shift of a trapped atom interferometer using a thermal ensemble with internal state labelling
- Fast shuttling of a particle under weak spring-constant noise of the moving trap
- Fast quantum control in dissipative systems using dissipationless solutions
- Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
- Reverse engineering protocols for controlling spin dynamics
- Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
- Optimal Design of Minimum Energy Pulses for Bloch Equations in the case of Dominant Transverse Relaxation
- Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates
- Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
- Robust control of an ensemble of springs: Application to Ion Cyclotron Resonance and two-level Quantum Systems
- Can math beat gamers in Quantum Moves?
- Robust Detection of High-Frequency Signals at the Nanoscale
- Shortcut to stationary regimes: a simple experimental demonstration
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- Optimizing Counterdiabaticity by Variational Quantum Circuits
- Fast and robust particle shuttling for quantum science and technology
- Quantifying protocol efficiency: a thermodynamic figure of merit for classical and quantum state-transfer protocols
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- A numerical approach for calculating exact non-adiabatic terms in quantum dynamics
- Robust control of linear systems and shortcut to adiabaticity based on superoscillations
- Optimal control with a multidimensional quantum invariant
- Shortcuts to Adiabatic Soliton Compression in Active Nonlinear Kerr Media